{
  "problem_id": "auto_problem_091",
  "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n  Joint J3: Force=(0, -39884, 0) N\n  Joint J4: Force=(0, -36506, 0) N\n  Joint J5: Force=(0, -55940, 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: 250.39 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": 3439,
  "max_depth": 8,
  "nodes": {
    "node_0": {
      "node_id": "node_0",
      "content": "INITIAL DESIGN (Trace 0)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 150.57 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.5685221944721,
      "fos_buckling": 0.8669758962860347,
      "fos_yielding": 4.284964583105404,
      "deflection": 0.011438338198455363,
      "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 all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 181.15 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.54e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.14983129123178,
      "fos_buckling": 1.0070022548278874,
      "fos_yielding": 5.145235754264055,
      "deflection": 0.009542730023604973,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_0",
      "improvement_over_parent": null
    },
    "node_2": {
      "node_id": "node_2",
      "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 185.93 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.39e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.9317322738396,
      "fos_buckling": 1.0063706573454652,
      "fos_yielding": 5.145235754264055,
      "deflection": 0.009386707592455926,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.227)"
      },
      "parent_node_id": "node_1",
      "improvement_over_parent": null
    },
    "node_3": {
      "node_id": "node_3",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 211.05 kg\n  Factor of Safety: 1.12\n  Max Deflection: 7.67e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.05102725134054,
      "fos_buckling": 1.118846223692289,
      "fos_yielding": 4.6079377089068325,
      "deflection": 0.007666798873399633,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2",
      "improvement_over_parent": null
    },
    "node_4": {
      "node_id": "node_4",
      "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 215.67 kg\n  Factor of Safety: 1.16\n  Max Deflection: 7.52e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.67402393009564,
      "fos_buckling": 1.1617268016012199,
      "fos_yielding": 4.608694604886368,
      "deflection": 0.007519527386589448,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.242)"
      },
      "parent_node_id": "node_3",
      "improvement_over_parent": null
    },
    "node_5": {
      "node_id": "node_5",
      "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6059232223012,
      "fos_buckling": 1.525981890057245,
      "fos_yielding": 4.604107408829038,
      "deflection": 0.006969645920695528,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.639)"
      },
      "parent_node_id": "node_4",
      "improvement_over_parent": null
    },
    "node_6": {
      "node_id": "node_6",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_5",
      "improvement_over_parent": null
    },
    "node_7": {
      "node_id": "node_7",
      "content": "INITIAL DESIGN (Trace 1)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n  Mass: 109.77 kg\n  Factor of Safety: 0.45\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": 109.77333912443018,
      "fos_buckling": 0.4547521198267717,
      "fos_yielding": 2.381140551650436,
      "deflection": 0.02035582281855583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_8": {
      "node_id": "node_8",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 132.80 kg\n  Factor of Safety: 0.53\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": 132.79559756961356,
      "fos_buckling": 0.5345219422550763,
      "fos_yielding": 2.8819103330103824,
      "deflection": 0.016873929846870746,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_7",
      "improvement_over_parent": null
    },
    "node_9": {
      "node_id": "node_9",
      "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 136.93 kg\n  Factor of Safety: 0.53\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": 136.93112679069452,
      "fos_buckling": 0.5342301997617344,
      "fos_yielding": 2.881412307500585,
      "deflection": 0.01688205510181221,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.232)"
      },
      "parent_node_id": "node_8",
      "improvement_over_parent": null
    },
    "node_10": {
      "node_id": "node_10",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 157.94 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.9379758196427,
      "fos_buckling": 0.5327531673913587,
      "fos_yielding": 2.878885190841639,
      "deflection": 0.014690048604726719,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005865)"
      },
      "parent_node_id": "node_9",
      "improvement_over_parent": null
    },
    "node_11": {
      "node_id": "node_11",
      "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 158.65 kg\n  Factor of Safety: 0.53\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": 158.64592712145935,
      "fos_buckling": 0.5327531673913586,
      "fos_yielding": 3.570241104734565,
      "deflection": 0.014449970583540637,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.259)"
      },
      "parent_node_id": "node_10",
      "improvement_over_parent": null
    },
    "node_12": {
      "node_id": "node_12",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 189.79 kg\n  Factor of Safety: 0.62\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": 189.78676429884575,
      "fos_buckling": 0.6163556192773927,
      "fos_yielding": 4.260827908913523,
      "deflection": 0.012122273495723994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_11",
      "improvement_over_parent": null
    },
    "node_13": {
      "node_id": "node_13",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 222.18 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.18038393896404,
      "fos_buckling": 1.3683221572647382,
      "fos_yielding": 4.56660788223217,
      "deflection": 0.007176088790014024,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_12",
      "improvement_over_parent": null
    },
    "node_14": {
      "node_id": "node_14",
      "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0098)]\n\nPerformance:\n  Mass: 228.43 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.4321079095325,
      "fos_buckling": 1.3691288202225824,
      "fos_yielding": 4.564996797939596,
      "deflection": 0.00699908829665132,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.217)"
      },
      "parent_node_id": "node_13",
      "improvement_over_parent": null
    },
    "node_15": {
      "node_id": "node_15",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_14",
      "improvement_over_parent": null
    },
    "node_16": {
      "node_id": "node_16",
      "content": "INITIAL DESIGN (Trace 2)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 120.25 kg\n  Factor of Safety: 0.42\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": 120.24714774485099,
      "fos_buckling": 0.4165073962973045,
      "fos_yielding": 2.6865315795015645,
      "deflection": 0.018916692762480536,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_17": {
      "node_id": "node_17",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 151.56 kg\n  Factor of Safety: 0.51\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": 151.5550082907141,
      "fos_buckling": 0.5083128228950702,
      "fos_yielding": 3.3784362495495626,
      "deflection": 0.015064553228623866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_16",
      "improvement_over_parent": null
    },
    "node_18": {
      "node_id": "node_18",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n  Mass: 177.15 kg\n  Factor of Safety: 1.23\n  Max Deflection: 8.86e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.153407239026,
      "fos_buckling": 1.2307054296742674,
      "fos_yielding": 3.663945298869287,
      "deflection": 0.008863014353681605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006266)"
      },
      "parent_node_id": "node_17",
      "improvement_over_parent": null
    },
    "node_19": {
      "node_id": "node_19",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 224.34 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.04e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.34016063349324,
      "fos_buckling": 1.493882238379766,
      "fos_yielding": 4.630844238383738,
      "deflection": 0.00703672940524424,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_18",
      "improvement_over_parent": null
    },
    "node_20": {
      "node_id": "node_20",
      "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0096)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 229.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.88e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 229.55403077632565,
      "fos_buckling": 1.5310977136939927,
      "fos_yielding": 4.657767655226122,
      "deflection": 0.006876653712149551,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.178)"
      },
      "parent_node_id": "node_19",
      "improvement_over_parent": null
    },
    "node_21": {
      "node_id": "node_21",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_20",
      "improvement_over_parent": null
    },
    "node_22": {
      "node_id": "node_22",
      "content": "INITIAL DESIGN (Trace 3)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n\nPerformance:\n  Mass: 107.24 kg\n  Factor of Safety: 0.37\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": 107.24448749302925,
      "fos_buckling": 0.36630907264904516,
      "fos_yielding": 2.1939752684688116,
      "deflection": 0.021344388818417093,
      "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: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n\nPerformance:\n  Mass: 128.70 kg\n  Factor of Safety: 0.43\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": 128.70177612117567,
      "fos_buckling": 0.42998316456744595,
      "fos_yielding": 2.629492499597442,
      "deflection": 0.017830989531839484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_22",
      "improvement_over_parent": null
    },
    "node_24": {
      "node_id": "node_24",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 146.51 kg\n  Factor of Safety: 0.48\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": 146.50774190643224,
      "fos_buckling": 0.4804366014903758,
      "fos_yielding": 2.990009055259956,
      "deflection": 0.015696883159804605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_23",
      "improvement_over_parent": null
    },
    "node_25": {
      "node_id": "node_25",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 171.90 kg\n  Factor of Safety: 1.16\n  Max Deflection: 9.13e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.90314736253305,
      "fos_buckling": 1.1557974580493124,
      "fos_yielding": 3.571533286484133,
      "deflection": 0.009133335723100598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006171)"
      },
      "parent_node_id": "node_24",
      "improvement_over_parent": null
    },
    "node_26": {
      "node_id": "node_26",
      "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 176.31 kg\n  Factor of Safety: 1.24\n  Max Deflection: 8.95e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.31240736822227,
      "fos_buckling": 1.237311243186696,
      "fos_yielding": 3.572445173640075,
      "deflection": 0.008945490972431084,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.372)"
      },
      "parent_node_id": "node_25",
      "improvement_over_parent": null
    },
    "node_27": {
      "node_id": "node_27",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.55496313779344,
      "fos_buckling": 1.5258438653430255,
      "fos_yielding": 4.602727247337608,
      "deflection": 0.0069711545662987295,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_26",
      "improvement_over_parent": null
    },
    "node_28": {
      "node_id": "node_28",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_27",
      "improvement_over_parent": null
    },
    "node_29": {
      "node_id": "node_29",
      "content": "INITIAL DESIGN (Trace 4)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 176.68 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.99e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.67957807955915,
      "fos_buckling": 0.9839597415934149,
      "fos_yielding": 2.9214922215769104,
      "deflection": 0.009993751791397035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_30": {
      "node_id": "node_30",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 202.30 kg\n  Factor of Safety: 1.02\n  Max Deflection: 8.14e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.29610698885375,
      "fos_buckling": 1.0236228463870036,
      "fos_yielding": 2.928809079344872,
      "deflection": 0.008136763916454565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_29",
      "improvement_over_parent": null
    },
    "node_31": {
      "node_id": "node_31",
      "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 209.27 kg\n  Factor of Safety: 1.13\n  Max Deflection: 7.67e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.27098970689738,
      "fos_buckling": 1.1325508277157987,
      "fos_yielding": 2.9639937830698018,
      "deflection": 0.007672534711525011,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.337)"
      },
      "parent_node_id": "node_30",
      "improvement_over_parent": null
    },
    "node_32": {
      "node_id": "node_32",
      "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0092)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 216.51 kg\n  Factor of Safety: 1.14\n  Max Deflection: 7.35e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.51362976000124,
      "fos_buckling": 1.1420749447857754,
      "fos_yielding": 2.988919307906136,
      "deflection": 0.007351333225685657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.274)"
      },
      "parent_node_id": "node_31",
      "improvement_over_parent": null
    },
    "node_33": {
      "node_id": "node_33",
      "content": "MODIFICATION: Increase 10 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0092)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0108)]\n\nPerformance:\n  Mass: 227.66 kg\n  Factor of Safety: 1.14\n  Max Deflection: 7.19e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.65911135049407,
      "fos_buckling": 1.1422399094746436,
      "fos_yielding": 2.9893510362668105,
      "deflection": 0.007185819066382962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.504)"
      },
      "parent_node_id": "node_32",
      "improvement_over_parent": null
    },
    "node_34": {
      "node_id": "node_34",
      "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0092)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0108)]\n\nPerformance:\n  Mass: 229.55 kg\n  Factor of Safety: 1.46\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.54551650661182,
      "fos_buckling": 1.4595474347891833,
      "fos_yielding": 4.743462767145928,
      "deflection": 0.007056584799466617,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.658)"
      },
      "parent_node_id": "node_33",
      "improvement_over_parent": null
    },
    "node_35": {
      "node_id": "node_35",
      "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0119)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0108)]\n\nPerformance:\n  Mass: 238.81 kg\n  Factor of Safety: 1.54\n  Max Deflection: 6.79e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 238.81284404594572,
      "fos_buckling": 1.5404693972856838,
      "fos_yielding": 4.777429525132432,
      "deflection": 0.0067867095555687144,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.292)"
      },
      "parent_node_id": "node_34",
      "improvement_over_parent": null
    },
    "node_36": {
      "node_id": "node_36",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_35",
      "improvement_over_parent": null
    },
    "node_37": {
      "node_id": "node_37",
      "content": "INITIAL DESIGN (Trace 5)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n  Mass: 121.02 kg\n  Factor of Safety: 0.89\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": 121.02088795824939,
      "fos_buckling": 0.8903750151833781,
      "fos_yielding": 2.4567015541789043,
      "deflection": 0.012951398810955018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_38": {
      "node_id": "node_38",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 143.71 kg\n  Factor of Safety: 1.04\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.71162076733077,
      "fos_buckling": 1.0371393161852156,
      "fos_yielding": 2.9150730023152103,
      "deflection": 0.010934591247564145,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_37",
      "improvement_over_parent": null
    },
    "node_39": {
      "node_id": "node_39",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 186.84 kg\n  Factor of Safety: 1.30\n  Max Deflection: 8.45e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.8431902561653,
      "fos_buckling": 1.2989168486981697,
      "fos_yielding": 3.784422932399488,
      "deflection": 0.008451490948229322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_38",
      "improvement_over_parent": null
    },
    "node_40": {
      "node_id": "node_40",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.85 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.84538292955267,
      "fos_buckling": 1.5271210597564748,
      "fos_yielding": 4.608500985712611,
      "deflection": 0.006962617662671773,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_39",
      "improvement_over_parent": null
    },
    "node_41": {
      "node_id": "node_41",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_43": {
      "node_id": "node_43",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 172.57 kg\n  Factor of Safety: 0.98\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": 172.57013847546065,
      "fos_buckling": 0.9848186349341777,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.011561262301081161,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_42",
      "improvement_over_parent": null
    },
    "node_44": {
      "node_id": "node_44",
      "content": "MODIFICATION: Increase 1 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 179.73 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.72927116959082,
      "fos_buckling": 0.9838930498141798,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.01071592906816156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.372)"
      },
      "parent_node_id": "node_43",
      "improvement_over_parent": null
    },
    "node_45": {
      "node_id": "node_45",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 201.39 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.84e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.38856744643823,
      "fos_buckling": 0.9811033415361573,
      "fos_yielding": 4.594365630185066,
      "deflection": 0.008839889279065198,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_44",
      "improvement_over_parent": null
    },
    "node_46": {
      "node_id": "node_46",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.01 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.00509635573283,
      "fos_buckling": 1.4355470026005173,
      "fos_yielding": 4.616706815405636,
      "deflection": 0.007062740416423591,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_45",
      "improvement_over_parent": null
    },
    "node_47": {
      "node_id": "node_47",
      "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0114)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 238.53 kg\n  Factor of Safety: 1.51\n  Max Deflection: 6.76e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 238.5301904258553,
      "fos_buckling": 1.508008604553167,
      "fos_yielding": 4.61316429693148,
      "deflection": 0.006761190541201825,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.408)"
      },
      "parent_node_id": "node_46",
      "improvement_over_parent": null
    },
    "node_48": {
      "node_id": "node_48",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 173.59 kg\n  Factor of Safety: 1.22\n  Max Deflection: 8.96e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.5862886198322,
      "fos_buckling": 1.223652189583037,
      "fos_yielding": 3.7395437818604056,
      "deflection": 0.008962499669979923,
      "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: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 215.84 kg\n  Factor of Safety: 1.46\n  Max Deflection: 7.24e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.83556113909168,
      "fos_buckling": 1.4626111364301513,
      "fos_yielding": 4.638611447344498,
      "deflection": 0.007243865924417139,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_49",
      "improvement_over_parent": null
    },
    "node_51": {
      "node_id": "node_51",
      "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 222.21 kg\n  Factor of Safety: 1.47\n  Max Deflection: 7.09e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.21439404642518,
      "fos_buckling": 1.4720184058503931,
      "fos_yielding": 4.639580033847454,
      "deflection": 0.00709140679332542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.364)"
      },
      "parent_node_id": "node_50",
      "improvement_over_parent": null
    },
    "node_52": {
      "node_id": "node_52",
      "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.59137841385115,
      "fos_buckling": 1.525795715843822,
      "fos_yielding": 4.603307649355975,
      "deflection": 0.006970226451887502,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.299)"
      },
      "parent_node_id": "node_51",
      "improvement_over_parent": null
    },
    "node_53": {
      "node_id": "node_53",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_52",
      "improvement_over_parent": null
    },
    "node_54": {
      "node_id": "node_54",
      "content": "INITIAL DESIGN (Trace 8)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 117.98 kg\n  Factor of Safety: 0.65\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": 117.98211672989582,
      "fos_buckling": 0.6535673662898012,
      "fos_yielding": 2.6838588549257554,
      "deflection": 0.014689873576297268,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_55": {
      "node_id": "node_55",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 151.54 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.54067084213744,
      "fos_buckling": 0.8115696535039139,
      "fos_yielding": 3.450096572875202,
      "deflection": 0.011484467105161801,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_54",
      "improvement_over_parent": null
    },
    "node_56": {
      "node_id": "node_56",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 170.90 kg\n  Factor of Safety: 1.15\n  Max Deflection: 9.22e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.89746891983984,
      "fos_buckling": 1.1487189936355984,
      "fos_yielding": 3.465253836852626,
      "deflection": 0.009221597144575912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005371)"
      },
      "parent_node_id": "node_55",
      "improvement_over_parent": null
    },
    "node_57": {
      "node_id": "node_57",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 221.77 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.15e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.7696372554085,
      "fos_buckling": 1.4439268256595335,
      "fos_yielding": 4.502668799062812,
      "deflection": 0.007146580070001453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_56",
      "improvement_over_parent": null
    },
    "node_58": {
      "node_id": "node_58",
      "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 222.51 kg\n  Factor of Safety: 1.47\n  Max Deflection: 7.10e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.51284564413902,
      "fos_buckling": 1.4667783205137401,
      "fos_yielding": 4.60445035013215,
      "deflection": 0.00709638488963962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.225)"
      },
      "parent_node_id": "node_57",
      "improvement_over_parent": null
    },
    "node_59": {
      "node_id": "node_59",
      "content": "MODIFICATION: Increase 2 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.65323486098123,
      "fos_buckling": 1.5261296448689996,
      "fos_yielding": 4.605406391929532,
      "deflection": 0.006968117690617593,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.333)"
      },
      "parent_node_id": "node_58",
      "improvement_over_parent": null
    },
    "node_60": {
      "node_id": "node_60",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_59",
      "improvement_over_parent": null
    },
    "node_61": {
      "node_id": "node_61",
      "content": "INITIAL DESIGN (Trace 9)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0027)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n  Mass: 128.32 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.3169161767326,
      "fos_buckling": 0.8662594089985175,
      "fos_yielding": 2.7567751440274173,
      "deflection": 0.012207165818576029,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_62": {
      "node_id": "node_62",
      "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n  Mass: 133.44 kg\n  Factor of Safety: 0.86\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": 133.4350322048342,
      "fos_buckling": 0.8636550694607654,
      "fos_yielding": 2.757752997225712,
      "deflection": 0.011847824148537755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.522)"
      },
      "parent_node_id": "node_61",
      "improvement_over_parent": null
    },
    "node_63": {
      "node_id": "node_63",
      "content": "MODIFICATION: Increase 10 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 137.19 kg\n  Factor of Safety: 1.00\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": 137.18780795710632,
      "fos_buckling": 0.9954967473344954,
      "fos_yielding": 2.783400192668862,
      "deflection": 0.011446143488344912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.247)"
      },
      "parent_node_id": "node_62",
      "improvement_over_parent": null
    },
    "node_64": {
      "node_id": "node_64",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 152.84 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.8415308540161,
      "fos_buckling": 1.094330069812532,
      "fos_yielding": 3.099351189455819,
      "deflection": 0.010292078569887916,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_63",
      "improvement_over_parent": null
    },
    "node_65": {
      "node_id": "node_65",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n  Mass: 171.28 kg\n  Factor of Safety: 1.21\n  Max Deflection: 9.20e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.2816616123703,
      "fos_buckling": 1.2069525661649008,
      "fos_yielding": 3.471112085985858,
      "deflection": 0.009203195498596661,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_64",
      "improvement_over_parent": null
    },
    "node_66": {
      "node_id": "node_66",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 205.65 kg\n  Factor of Safety: 1.41\n  Max Deflection: 7.69e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.6548401406979,
      "fos_buckling": 1.4059870018079192,
      "fos_yielding": 4.162850418075554,
      "deflection": 0.007694716071171281,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_65",
      "improvement_over_parent": null
    },
    "node_67": {
      "node_id": "node_67",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.55057973062773,
      "fos_buckling": 1.5254368571536718,
      "fos_yielding": 4.602649058799561,
      "deflection": 0.00697142643087755,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_66",
      "improvement_over_parent": null
    },
    "node_68": {
      "node_id": "node_68",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_67",
      "improvement_over_parent": null
    },
    "node_69": {
      "node_id": "node_69",
      "content": "INITIAL DESIGN (Trace 10)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 151.57 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.58e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.57270451135406,
      "fos_buckling": 0.6584102878378467,
      "fos_yielding": 3.6548753404219045,
      "deflection": 15849860458246.594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_70": {
      "node_id": "node_70",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n  Mass: 180.03 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.02830860575358,
      "fos_buckling": 0.8830677170075872,
      "fos_yielding": 4.038186210534555,
      "deflection": 0.010034106005730075,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007024)"
      },
      "parent_node_id": "node_69",
      "improvement_over_parent": null
    },
    "node_71": {
      "node_id": "node_71",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n  Mass: 199.43 kg\n  Factor of Safety: 1.31\n  Max Deflection: 8.01e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.43339504597265,
      "fos_buckling": 1.3082556244271564,
      "fos_yielding": 4.058029025336893,
      "deflection": 0.00800577636926715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005977)"
      },
      "parent_node_id": "node_70",
      "improvement_over_parent": null
    },
    "node_72": {
      "node_id": "node_72",
      "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0065)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n  Mass: 200.86 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.92e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.85902196805506,
      "fos_buckling": 1.2817569816277052,
      "fos_yielding": 4.719317961330813,
      "deflection": 0.007922754825812124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.361)"
      },
      "parent_node_id": "node_71",
      "improvement_over_parent": null
    },
    "node_73": {
      "node_id": "node_73",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0075)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 228.62 kg\n  Factor of Safety: 1.44\n  Max Deflection: 6.98e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.62119792929806,
      "fos_buckling": 1.4416791843424916,
      "fos_yielding": 5.365173441705437,
      "deflection": 0.006981223479458931,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_72",
      "improvement_over_parent": null
    },
    "node_74": {
      "node_id": "node_74",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_73",
      "improvement_over_parent": null
    },
    "node_75": {
      "node_id": "node_75",
      "content": "INITIAL DESIGN (Trace 11)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 159.83 kg\n  Factor of Safety: 0.56\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": 159.8280230128404,
      "fos_buckling": 0.5560365261644808,
      "fos_yielding": 3.1574919011582785,
      "deflection": 0.014313389258243972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_76": {
      "node_id": "node_76",
      "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 160.77 kg\n  Factor of Safety: 0.56\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": 160.76751458974684,
      "fos_buckling": 0.5560365261644807,
      "fos_yielding": 3.754982127302822,
      "deflection": 0.014206611075288821,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.292)"
      },
      "parent_node_id": "node_75",
      "improvement_over_parent": null
    },
    "node_77": {
      "node_id": "node_77",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 182.96 kg\n  Factor of Safety: 0.62\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": 182.96270907146476,
      "fos_buckling": 0.6172273083892841,
      "fos_yielding": 4.264985621942561,
      "deflection": 0.012513538310660419,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_76",
      "improvement_over_parent": null
    },
    "node_78": {
      "node_id": "node_78",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 215.36 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.55e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.35632871158305,
      "fos_buckling": 1.1499300700483828,
      "fos_yielding": 4.506314503574133,
      "deflection": 0.007548475496979859,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_77",
      "improvement_over_parent": null
    },
    "node_79": {
      "node_id": "node_79",
      "content": "MODIFICATION: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0134)]\n\nPerformance:\n  Mass: 233.54 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.14e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.53534436944295,
      "fos_buckling": 1.1510166075167845,
      "fos_yielding": 4.502458968465071,
      "deflection": 0.007138294063190634,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.661)"
      },
      "parent_node_id": "node_78",
      "improvement_over_parent": null
    },
    "node_80": {
      "node_id": "node_80",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_79",
      "improvement_over_parent": null
    },
    "node_81": {
      "node_id": "node_81",
      "content": "INITIAL DESIGN (Trace 12)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 123.84 kg\n  Factor of Safety: 0.90\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": 123.83745035036983,
      "fos_buckling": 0.9011327649310008,
      "fos_yielding": 2.725625776343561,
      "deflection": 0.012425577622235269,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_82": {
      "node_id": "node_82",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0034)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 150.70 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.70337361514652,
      "fos_buckling": 1.07664074991661,
      "fos_yielding": 3.3114039634207932,
      "deflection": 0.010243395579664609,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_81",
      "improvement_over_parent": null
    },
    "node_83": {
      "node_id": "node_83",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 185.40 kg\n  Factor of Safety: 1.28\n  Max Deflection: 8.36e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.40190719783394,
      "fos_buckling": 1.2841781140681519,
      "fos_yielding": 4.064834000860352,
      "deflection": 0.00836097277823694,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_82",
      "improvement_over_parent": null
    },
    "node_84": {
      "node_id": "node_84",
      "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 190.21 kg\n  Factor of Safety: 1.30\n  Max Deflection: 8.22e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.2126744024217,
      "fos_buckling": 1.2954973105276666,
      "fos_yielding": 4.065601076666886,
      "deflection": 0.00821865788767224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.359)"
      },
      "parent_node_id": "node_83",
      "improvement_over_parent": null
    },
    "node_85": {
      "node_id": "node_85",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 217.51 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.21e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.50525879438186,
      "fos_buckling": 1.4539418520717136,
      "fos_yielding": 4.642096618443097,
      "deflection": 0.007210124779499449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_84",
      "improvement_over_parent": null
    },
    "node_86": {
      "node_id": "node_86",
      "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 222.07 kg\n  Factor of Safety: 1.46\n  Max Deflection: 7.11e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.06694208375728,
      "fos_buckling": 1.4559892598773176,
      "fos_yielding": 4.64272262785846,
      "deflection": 0.00710764678140366,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.238)"
      },
      "parent_node_id": "node_85",
      "improvement_over_parent": null
    },
    "node_87": {
      "node_id": "node_87",
      "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.52451155630598,
      "fos_buckling": 1.5254036364143562,
      "fos_yielding": 4.602399788599596,
      "deflection": 0.006972052214339857,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.370)"
      },
      "parent_node_id": "node_86",
      "improvement_over_parent": null
    },
    "node_88": {
      "node_id": "node_88",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_87",
      "improvement_over_parent": null
    },
    "node_89": {
      "node_id": "node_89",
      "content": "INITIAL DESIGN (Trace 13)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 115.49 kg\n  Factor of Safety: 1.49\n  Max Deflection: 4.61e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.49420008296363,
      "fos_buckling": 1.4944458032065293,
      "fos_yielding": 4.016507921752429,
      "deflection": 46146059347626.234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_90": {
      "node_id": "node_90",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n\nPerformance:\n  Mass: 126.80 kg\n  Factor of Safety: 0.35\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": 126.80423902595723,
      "fos_buckling": 0.3462271573007016,
      "fos_yielding": 3.3389392296932585,
      "deflection": 0.019260054169552118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003369)"
      },
      "parent_node_id": "node_89",
      "improvement_over_parent": null
    },
    "node_91": {
      "node_id": "node_91",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n\nPerformance:\n  Mass: 162.62 kg\n  Factor of Safety: 0.43\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": 162.61669543290097,
      "fos_buckling": 0.4342167376027412,
      "fos_yielding": 4.269212588489977,
      "deflection": 0.015053771560447949,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_90",
      "improvement_over_parent": null
    },
    "node_92": {
      "node_id": "node_92",
      "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0106)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n\nPerformance:\n  Mass: 173.03 kg\n  Factor of Safety: 0.43\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": 173.02510236625147,
      "fos_buckling": 0.4336229433887066,
      "fos_yielding": 4.267358684263813,
      "deflection": 0.015073618986459961,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.560)"
      },
      "parent_node_id": "node_91",
      "improvement_over_parent": null
    },
    "node_93": {
      "node_id": "node_93",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0106)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 205.42 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.95e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.41872200636976,
      "fos_buckling": 1.0036922572602494,
      "fos_yielding": 5.139855038481105,
      "deflection": 0.008945014718709956,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_92",
      "improvement_over_parent": null
    },
    "node_94": {
      "node_id": "node_94",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0106)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 230.54 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.02e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.5380169838707,
      "fos_buckling": 1.3532095351530316,
      "fos_yielding": 4.554796221957625,
      "deflection": 0.007024582368426605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_93",
      "improvement_over_parent": null
    },
    "node_95": {
      "node_id": "node_95",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 145.84 kg\n  Factor of Safety: 0.13\n  Max Deflection: 2.47e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.84100169215574,
      "fos_buckling": 0.13039858713444544,
      "fos_yielding": 1.2053548597561738,
      "deflection": 246878997970769.47,
      "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 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 178.23 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.23462133227403,
      "fos_buckling": 0.983703885058305,
      "fos_yielding": 2.9072704190850356,
      "deflection": 0.010712039932116368,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_96",
      "improvement_over_parent": null
    },
    "node_98": {
      "node_id": "node_98",
      "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 179.54 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.53635157558912,
      "fos_buckling": 0.983703885058305,
      "fos_yielding": 4.238778101120525,
      "deflection": 0.010712039932116368,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.493)"
      },
      "parent_node_id": "node_97",
      "improvement_over_parent": null
    },
    "node_99": {
      "node_id": "node_99",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.66 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.89e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.65564655309007,
      "fos_buckling": 0.9804711837804452,
      "fos_yielding": 3.793357164537902,
      "deflection": 0.008887867439579098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_98",
      "improvement_over_parent": null
    },
    "node_100": {
      "node_id": "node_100",
      "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 205.55 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.54593614203267,
      "fos_buckling": 0.9804711837804452,
      "fos_yielding": 4.5906382293570385,
      "deflection": 0.008819678296506124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.236)"
      },
      "parent_node_id": "node_99",
      "improvement_over_parent": null
    },
    "node_101": {
      "node_id": "node_101",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63708427069298,
      "fos_buckling": 1.5260975716972571,
      "fos_yielding": 4.607646988657766,
      "deflection": 0.006968737387375015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_100",
      "improvement_over_parent": null
    },
    "node_102": {
      "node_id": "node_102",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_101",
      "improvement_over_parent": null
    },
    "node_103": {
      "node_id": "node_103",
      "content": "INITIAL DESIGN (Trace 15)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n\nPerformance:\n  Mass: 122.85 kg\n  Factor of Safety: 1.40\n  Max Deflection: 5.03e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.85067597151226,
      "fos_buckling": 1.4000990943277942,
      "fos_yielding": 3.7264600869518567,
      "deflection": 50264056397505.22,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_104": {
      "node_id": "node_104",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 141.03 kg\n  Factor of Safety: 0.45\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": 141.03191236913412,
      "fos_buckling": 0.45319598419477386,
      "fos_yielding": 2.7949400416636023,
      "deflection": 0.016607724772303857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005023)"
      },
      "parent_node_id": "node_103",
      "improvement_over_parent": null
    },
    "node_105": {
      "node_id": "node_105",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 155.73 kg\n  Factor of Safety: 0.49\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": 155.73136717005636,
      "fos_buckling": 0.4930255322826385,
      "fos_yielding": 3.0840257205780666,
      "deflection": 0.015064749625467284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_104",
      "improvement_over_parent": null
    },
    "node_106": {
      "node_id": "node_106",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n  Mass: 175.80 kg\n  Factor of Safety: 0.55\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": 175.79684779731093,
      "fos_buckling": 0.54518820123092,
      "fos_yielding": 3.4779697745565175,
      "deflection": 0.01337503422091712,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_105",
      "improvement_over_parent": null
    },
    "node_107": {
      "node_id": "node_107",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 205.40 kg\n  Factor of Safety: 1.41\n  Max Deflection: 7.70e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.40422973577654,
      "fos_buckling": 1.405563024942019,
      "fos_yielding": 4.157187411206882,
      "deflection": 0.0077037516499795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007283)"
      },
      "parent_node_id": "node_106",
      "improvement_over_parent": null
    },
    "node_108": {
      "node_id": "node_108",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.28 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.2763867702647,
      "fos_buckling": 1.5249875289798003,
      "fos_yielding": 4.596462453238252,
      "deflection": 0.006979501185301604,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_107",
      "improvement_over_parent": null
    },
    "node_109": {
      "node_id": "node_109",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_108",
      "improvement_over_parent": null
    },
    "node_110": {
      "node_id": "node_110",
      "content": "INITIAL DESIGN (Trace 16)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 144.98 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.97597155998335,
      "fos_buckling": 0.5128576602050946,
      "fos_yielding": 2.7408349774070255,
      "deflection": 0.015325855321008114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_111": {
      "node_id": "node_111",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 164.02 kg\n  Factor of Safety: 0.57\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": 164.0210493503477,
      "fos_buckling": 0.5679785550288701,
      "fos_yielding": 3.102053271584678,
      "deflection": 0.013579020148150975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_110",
      "improvement_over_parent": null
    },
    "node_112": {
      "node_id": "node_112",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n\nPerformance:\n  Mass: 193.25 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.20e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.24793578434833,
      "fos_buckling": 1.2645410976685099,
      "fos_yielding": 3.8735090516848794,
      "deflection": 0.008197092056402767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007231)"
      },
      "parent_node_id": "node_111",
      "improvement_over_parent": null
    },
    "node_113": {
      "node_id": "node_113",
      "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0113)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n\nPerformance:\n  Mass: 207.49 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.72e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.48768056329808,
      "fos_buckling": 1.2633168113070354,
      "fos_yielding": 3.869758849883001,
      "deflection": 0.007721520679325825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.550)"
      },
      "parent_node_id": "node_112",
      "improvement_over_parent": null
    },
    "node_114": {
      "node_id": "node_114",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0126)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 229.77 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.77014530857159,
      "fos_buckling": 1.3823808121073506,
      "fos_yielding": 4.293808461966011,
      "deflection": 0.00698661742046923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_113",
      "improvement_over_parent": null
    },
    "node_115": {
      "node_id": "node_115",
      "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0126)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 233.93 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.82e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.92779957453908,
      "fos_buckling": 1.3942891006028741,
      "fos_yielding": 4.330796757421055,
      "deflection": 0.006820561949769374,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.192)"
      },
      "parent_node_id": "node_114",
      "improvement_over_parent": null
    },
    "node_116": {
      "node_id": "node_116",
      "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0126)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 234.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.76e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 234.77302254904444,
      "fos_buckling": 1.5340327509710046,
      "fos_yielding": 4.731699795002857,
      "deflection": 0.0067561811639218405,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.263)"
      },
      "parent_node_id": "node_115",
      "improvement_over_parent": null
    },
    "node_117": {
      "node_id": "node_117",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_116",
      "improvement_over_parent": null
    },
    "node_118": {
      "node_id": "node_118",
      "content": "INITIAL DESIGN (Trace 17)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0025)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n\nPerformance:\n  Mass: 112.29 kg\n  Factor of Safety: 0.81\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": 112.28526101078316,
      "fos_buckling": 0.8129317677346056,
      "fos_yielding": 2.3561586272123076,
      "deflection": 0.013855547983104942,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_119": {
      "node_id": "node_119",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 139.12 kg\n  Factor of Safety: 0.98\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": 139.11992553030737,
      "fos_buckling": 0.9840978150756243,
      "fos_yielding": 2.915758955855249,
      "deflection": 0.011217427943653513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_118",
      "improvement_over_parent": null
    },
    "node_120": {
      "node_id": "node_120",
      "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 143.80 kg\n  Factor of Safety: 1.04\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": 143.79718771648868,
      "fos_buckling": 1.0376423411182203,
      "fos_yielding": 2.916686594871539,
      "deflection": 0.010928338453829905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.429)"
      },
      "parent_node_id": "node_119",
      "improvement_over_parent": null
    },
    "node_121": {
      "node_id": "node_121",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 176.15 kg\n  Factor of Safety: 1.24\n  Max Deflection: 8.95e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.14869466341088,
      "fos_buckling": 1.2360535487839222,
      "fos_yielding": 3.5689672521926306,
      "deflection": 0.008953920048169008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_120",
      "improvement_over_parent": null
    },
    "node_122": {
      "node_id": "node_122",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6623728725612,
      "fos_buckling": 1.5260965804057647,
      "fos_yielding": 4.6046558480923725,
      "deflection": 0.006968161650051409,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_121",
      "improvement_over_parent": null
    },
    "node_123": {
      "node_id": "node_123",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_122",
      "improvement_over_parent": null
    },
    "node_124": {
      "node_id": "node_124",
      "content": "INITIAL DESIGN (Trace 18)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 153.42 kg\n  Factor of Safety: 1.10\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.41591899486508,
      "fos_buckling": 1.097995399156909,
      "fos_yielding": 3.1108923800473183,
      "deflection": 0.010254182351414365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_125": {
      "node_id": "node_125",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 174.05 kg\n  Factor of Safety: 1.22\n  Max Deflection: 9.06e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.05249475233813,
      "fos_buckling": 1.2236235702401788,
      "fos_yielding": 3.5268817858781056,
      "deflection": 0.009059492651010317,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_124",
      "improvement_over_parent": null
    },
    "node_126": {
      "node_id": "node_126",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 199.76 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.92e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.75504578894865,
      "fos_buckling": 1.372937340807664,
      "fos_yielding": 4.044177326981501,
      "deflection": 0.007916702783095031,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_125",
      "improvement_over_parent": null
    },
    "node_127": {
      "node_id": "node_127",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.39 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.39364997235862,
      "fos_buckling": 1.5247154975984791,
      "fos_yielding": 4.599434337991701,
      "deflection": 0.006976095846438806,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_126",
      "improvement_over_parent": null
    },
    "node_128": {
      "node_id": "node_128",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_127",
      "improvement_over_parent": null
    },
    "node_129": {
      "node_id": "node_129",
      "content": "INITIAL DESIGN (Trace 19)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_130": {
      "node_id": "node_130",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 202.02 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.01645834631773,
      "fos_buckling": 0.9809396807241817,
      "fos_yielding": 4.587806023380328,
      "deflection": 0.008817302366464028,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_129",
      "improvement_over_parent": null
    },
    "node_131": {
      "node_id": "node_131",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63298725561233,
      "fos_buckling": 1.5259788749908192,
      "fos_yielding": 4.604199109896495,
      "deflection": 0.006968967111365604,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_130",
      "improvement_over_parent": null
    },
    "node_132": {
      "node_id": "node_132",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_131",
      "improvement_over_parent": null
    },
    "node_133": {
      "node_id": "node_133",
      "content": "INITIAL DESIGN (Trace 20)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n\nPerformance:\n  Mass: 114.04 kg\n  Factor of Safety: 0.19\n  Max Deflection: 1.15e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 114.03994582185368,
      "fos_buckling": 0.1906068622204126,
      "fos_yielding": 2.609208369773256,
      "deflection": 115198390423533.14,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_134": {
      "node_id": "node_134",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 135.80 kg\n  Factor of Safety: 0.44\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": 135.8042510803937,
      "fos_buckling": 0.4409222079952136,
      "fos_yielding": 2.4466352501984945,
      "deflection": 0.021729893602329027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006094)"
      },
      "parent_node_id": "node_133",
      "improvement_over_parent": null
    },
    "node_135": {
      "node_id": "node_135",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 156.89 kg\n  Factor of Safety: 0.50\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": 156.88605996201525,
      "fos_buckling": 0.5015181098226749,
      "fos_yielding": 2.83304472117439,
      "deflection": 0.018838518380192102,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_134",
      "improvement_over_parent": null
    },
    "node_136": {
      "node_id": "node_136",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 184.78 kg\n  Factor of Safety: 0.62\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": 184.78346007177709,
      "fos_buckling": 0.6172135117502708,
      "fos_yielding": 4.267305433961218,
      "deflection": 0.013239724788004644,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006828)"
      },
      "parent_node_id": "node_135",
      "improvement_over_parent": null
    },
    "node_137": {
      "node_id": "node_137",
      "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 185.36 kg\n  Factor of Safety: 0.62\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": 185.35532214632292,
      "fos_buckling": 0.6171209142777339,
      "fos_yielding": 4.267101955165072,
      "deflection": 0.012962336385461506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.346)"
      },
      "parent_node_id": "node_136",
      "improvement_over_parent": null
    },
    "node_138": {
      "node_id": "node_138",
      "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 190.23 kg\n  Factor of Safety: 0.62\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": 190.23176821966462,
      "fos_buckling": 0.6167264220985603,
      "fos_yielding": 4.266234609324535,
      "deflection": 0.012769975642749669,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.192)"
      },
      "parent_node_id": "node_137",
      "improvement_over_parent": null
    },
    "node_139": {
      "node_id": "node_139",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 222.63 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.08e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.6253878597829,
      "fos_buckling": 1.47579716971769,
      "fos_yielding": 4.605610564364978,
      "deflection": 0.007082424619465363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_138",
      "improvement_over_parent": null
    },
    "node_140": {
      "node_id": "node_140",
      "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 228.67 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.67030238812652,
      "fos_buckling": 1.4732690227478664,
      "fos_yielding": 4.5758023861039945,
      "deflection": 0.006985091450798232,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.272)"
      },
      "parent_node_id": "node_139",
      "improvement_over_parent": null
    },
    "node_141": {
      "node_id": "node_141",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_140",
      "improvement_over_parent": null
    },
    "node_142": {
      "node_id": "node_142",
      "content": "INITIAL DESIGN (Trace 21)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 113.03 kg\n  Factor of Safety: 0.26\n  Max Deflection: 3.11e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.02777652893255,
      "fos_buckling": 0.2581526097024535,
      "fos_yielding": 2.295454437068219,
      "deflection": 31147957261694.742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_143": {
      "node_id": "node_143",
      "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 115.70 kg\n  Factor of Safety: 0.09\n  Max Deflection: 4.02e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.69902162317562,
      "fos_buckling": 0.09327611247818576,
      "fos_yielding": 0.8673765322317963,
      "deflection": 402029995945600.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.198)"
      },
      "parent_node_id": "node_142",
      "improvement_over_parent": null
    },
    "node_144": {
      "node_id": "node_144",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 147.70 kg\n  Factor of Safety: 0.25\n  Max Deflection: 4.17e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.69726444946488,
      "fos_buckling": 0.24993234320795543,
      "fos_yielding": 3.4138106606864844,
      "deflection": 41675121535029.99,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_143",
      "improvement_over_parent": null
    },
    "node_145": {
      "node_id": "node_145",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 171.23 kg\n  Factor of Safety: 0.17\n  Max Deflection: 5.46e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.22540084193542,
      "fos_buckling": 0.1672404054405997,
      "fos_yielding": 2.4644583345032176,
      "deflection": 54647949323192.66,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_144",
      "improvement_over_parent": null
    },
    "node_146": {
      "node_id": "node_146",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 173.61 kg\n  Factor of Safety: 0.62\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": 173.61008315352157,
      "fos_buckling": 0.6178912458256846,
      "fos_yielding": 4.265857745277508,
      "deflection": 0.013409601055678516,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_145",
      "improvement_over_parent": null
    },
    "node_147": {
      "node_id": "node_147",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 206.00 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.00370279363986,
      "fos_buckling": 1.0038604671422462,
      "fos_yielding": 5.144500185820677,
      "deflection": 0.008713516414698887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_146",
      "improvement_over_parent": null
    },
    "node_148": {
      "node_id": "node_148",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.66299907048727,
      "fos_buckling": 1.5261844959555617,
      "fos_yielding": 4.6048315228544,
      "deflection": 0.006968162316857153,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_147",
      "improvement_over_parent": null
    },
    "node_149": {
      "node_id": "node_149",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_148",
      "improvement_over_parent": null
    },
    "node_150": {
      "node_id": "node_150",
      "content": "INITIAL DESIGN (Trace 22)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_151": {
      "node_id": "node_151",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 173.15 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.50e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.14759648517062,
      "fos_buckling": 0.5693289663585177,
      "fos_yielding": 3.4509881293423375,
      "deflection": 25012525287617.59,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_150",
      "improvement_over_parent": null
    },
    "node_152": {
      "node_id": "node_152",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 195.24 kg\n  Factor of Safety: 0.62\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": 195.23874461383093,
      "fos_buckling": 0.6161125107625718,
      "fos_yielding": 4.261406989281567,
      "deflection": 0.011901107172568537,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_151",
      "improvement_over_parent": null
    },
    "node_153": {
      "node_id": "node_153",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63236425394922,
      "fos_buckling": 1.5259787550801207,
      "fos_yielding": 4.604199293303069,
      "deflection": 0.006968987437167413,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_152",
      "improvement_over_parent": null
    },
    "node_154": {
      "node_id": "node_154",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_153",
      "improvement_over_parent": null
    },
    "node_155": {
      "node_id": "node_155",
      "content": "INITIAL DESIGN (Trace 23)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 106.66 kg\n  Factor of Safety: 0.65\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": 106.65835907152703,
      "fos_buckling": 0.6491068764362499,
      "fos_yielding": 3.145196067922746,
      "deflection": 0.017363921757893815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_156": {
      "node_id": "node_156",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n\nPerformance:\n  Mass: 120.15 kg\n  Factor of Safety: 0.66\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": 120.15038315063758,
      "fos_buckling": 0.6633568924753526,
      "fos_yielding": 3.145196067922746,
      "deflection": 0.014557216192158572,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004054)"
      },
      "parent_node_id": "node_155",
      "improvement_over_parent": null
    },
    "node_157": {
      "node_id": "node_157",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n  Mass: 154.41 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": 154.40772022904758,
      "fos_buckling": 0.8235111928003459,
      "fos_yielding": 4.038033105774117,
      "deflection": 0.011375889970529483,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_156",
      "improvement_over_parent": null
    },
    "node_158": {
      "node_id": "node_158",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 197.02 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.96e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.02039534045517,
      "fos_buckling": 1.0052758767064738,
      "fos_yielding": 5.145962678727502,
      "deflection": 0.008962711196813782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_157",
      "improvement_over_parent": null
    },
    "node_159": {
      "node_id": "node_159",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 218.68 kg\n  Factor of Safety: 1.43\n  Max Deflection: 7.20e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.67969161730258,
      "fos_buckling": 1.4253106444768149,
      "fos_yielding": 4.6045430300564405,
      "deflection": 0.007203549652412342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_158",
      "improvement_over_parent": null
    },
    "node_160": {
      "node_id": "node_160",
      "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0130)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 235.41 kg\n  Factor of Safety: 1.43\n  Max Deflection: 6.82e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.41242587391122,
      "fos_buckling": 1.425842809436508,
      "fos_yielding": 4.6750632231648135,
      "deflection": 0.0068160925987836435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.597)"
      },
      "parent_node_id": "node_159",
      "improvement_over_parent": null
    },
    "node_161": {
      "node_id": "node_161",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_160",
      "improvement_over_parent": null
    },
    "node_162": {
      "node_id": "node_162",
      "content": "INITIAL DESIGN (Trace 24)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n  Mass: 128.86 kg\n  Factor of Safety: 0.65\n  Max Deflection: 1.50e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.86222622076448,
      "fos_buckling": 0.6459828522621119,
      "fos_yielding": 3.8876407672176647,
      "deflection": 0.01496338557301381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_163": {
      "node_id": "node_163",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 152.68 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.67578489651996,
      "fos_buckling": 0.7501552525808213,
      "fos_yielding": 4.602572160731778,
      "deflection": 0.012664397306373306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_162",
      "improvement_over_parent": null
    },
    "node_164": {
      "node_id": "node_164",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n  Mass: 175.60 kg\n  Factor of Safety: 0.92\n  Max Deflection: 9.97e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.6017636633304,
      "fos_buckling": 0.9183151686989124,
      "fos_yielding": 4.602572160731778,
      "deflection": 0.009967169751235048,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006374)"
      },
      "parent_node_id": "node_163",
      "improvement_over_parent": null
    },
    "node_165": {
      "node_id": "node_165",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n  Mass: 198.08 kg\n  Factor of Safety: 1.22\n  Max Deflection: 8.04e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.07948061094083,
      "fos_buckling": 1.224735189600504,
      "fos_yielding": 4.122581043048676,
      "deflection": 0.008036335880269743,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006311)"
      },
      "parent_node_id": "node_164",
      "improvement_over_parent": null
    },
    "node_166": {
      "node_id": "node_166",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 221.39 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.21e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.39299270585394,
      "fos_buckling": 1.3468133100034523,
      "fos_yielding": 4.602886016312139,
      "deflection": 0.007208109020726887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_165",
      "improvement_over_parent": null
    },
    "node_167": {
      "node_id": "node_167",
      "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.51560545344512,
      "fos_buckling": 1.5252528585236136,
      "fos_yielding": 4.600847301496656,
      "deflection": 0.006972807834282643,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.256)"
      },
      "parent_node_id": "node_166",
      "improvement_over_parent": null
    },
    "node_168": {
      "node_id": "node_168",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_167",
      "improvement_over_parent": null
    },
    "node_169": {
      "node_id": "node_169",
      "content": "INITIAL DESIGN (Trace 25)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 100.42 kg\n  Factor of Safety: 0.56\n  Max Deflection: 4.77e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 100.41975800462691,
      "fos_buckling": 0.5603651306381492,
      "fos_yielding": 2.704449315829631,
      "deflection": 47668871326715.0,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_170": {
      "node_id": "node_170",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 117.90 kg\n  Factor of Safety: 0.26\n  Max Deflection: 3.98e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.89746902375131,
      "fos_buckling": 0.2562126282659605,
      "fos_yielding": 2.6948946187334775,
      "deflection": 39769058076315.24,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_169",
      "improvement_over_parent": null
    },
    "node_171": {
      "node_id": "node_171",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n\nPerformance:\n  Mass: 119.61 kg\n  Factor of Safety: 0.47\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": 119.61354443340615,
      "fos_buckling": 0.47045820639845376,
      "fos_yielding": 3.0810562343595467,
      "deflection": 0.019758045690848474,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002653)"
      },
      "parent_node_id": "node_170",
      "improvement_over_parent": null
    },
    "node_172": {
      "node_id": "node_172",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n  Mass: 149.89 kg\n  Factor of Safety: 0.57\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": 149.89107152011167,
      "fos_buckling": 0.5686222923517101,
      "fos_yielding": 3.8508329783595427,
      "deflection": 0.015814250535439583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_171",
      "improvement_over_parent": null
    },
    "node_173": {
      "node_id": "node_173",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 166.45 kg\n  Factor of Safety: 0.62\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": 166.45334266034627,
      "fos_buckling": 0.618829911343578,
      "fos_yielding": 4.270122150190052,
      "deflection": 0.014263790110698888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_172",
      "improvement_over_parent": null
    },
    "node_174": {
      "node_id": "node_174",
      "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 173.71 kg\n  Factor of Safety: 0.62\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": 173.71110959437522,
      "fos_buckling": 0.6182398722717455,
      "fos_yielding": 4.2688299982972655,
      "deflection": 0.013401431648405236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.379)"
      },
      "parent_node_id": "node_173",
      "improvement_over_parent": null
    },
    "node_175": {
      "node_id": "node_175",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 195.37 kg\n  Factor of Safety: 0.62\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": 195.37040587122266,
      "fos_buckling": 0.6164856937027696,
      "fos_yielding": 4.264978484672837,
      "deflection": 0.01189264408994685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_174",
      "improvement_over_parent": null
    },
    "node_176": {
      "node_id": "node_176",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.76402551134095,
      "fos_buckling": 1.526913048149533,
      "fos_yielding": 4.60814102835302,
      "deflection": 0.006965066410433166,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_175",
      "improvement_over_parent": null
    },
    "node_177": {
      "node_id": "node_177",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_176",
      "improvement_over_parent": null
    },
    "node_178": {
      "node_id": "node_178",
      "content": "INITIAL DESIGN (Trace 26)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_179": {
      "node_id": "node_179",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n\nPerformance:\n  Mass: 116.73 kg\n  Factor of Safety: 0.45\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": 116.72627147292742,
      "fos_buckling": 0.451788063808784,
      "fos_yielding": 3.249034886237372,
      "deflection": 0.016480789020041676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004154)"
      },
      "parent_node_id": "node_178",
      "improvement_over_parent": null
    },
    "node_180": {
      "node_id": "node_180",
      "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n  Mass: 120.03 kg\n  Factor of Safety: 0.45\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": 120.02719832501786,
      "fos_buckling": 0.45159082076792006,
      "fos_yielding": 3.24809647282818,
      "deflection": 0.016487815400762496,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.259)"
      },
      "parent_node_id": "node_179",
      "improvement_over_parent": null
    },
    "node_181": {
      "node_id": "node_181",
      "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n  Mass: 123.35 kg\n  Factor of Safety: 0.45\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": 123.35067870550282,
      "fos_buckling": 0.45139240398585573,
      "fos_yielding": 3.24809647282818,
      "deflection": 0.01631876397874376,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.220)"
      },
      "parent_node_id": "node_180",
      "improvement_over_parent": null
    },
    "node_182": {
      "node_id": "node_182",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0066)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0065)]\n\nPerformance:\n  Mass: 151.09 kg\n  Factor of Safety: 0.55\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": 151.08943777660127,
      "fos_buckling": 0.5454310344638784,
      "fos_yielding": 3.9773762506924903,
      "deflection": 0.013337197052795785,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_181",
      "improvement_over_parent": null
    },
    "node_183": {
      "node_id": "node_183",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0088)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0086)]\n\nPerformance:\n  Mass: 195.52 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.5151149096124,
      "fos_buckling": 0.690390136745549,
      "fos_yielding": 5.144593761485978,
      "deflection": 0.010321837528071816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_182",
      "improvement_over_parent": null
    },
    "node_184": {
      "node_id": "node_184",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0088)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0086)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 220.63 kg\n  Factor of Safety: 1.21\n  Max Deflection: 7.49e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.63440988711335,
      "fos_buckling": 1.207360026379286,
      "fos_yielding": 4.488585737208573,
      "deflection": 0.007494071013846234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_183",
      "improvement_over_parent": null
    },
    "node_185": {
      "node_id": "node_185",
      "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0088)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0086)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n\nPerformance:\n  Mass: 226.68 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.35e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.67673833306,
      "fos_buckling": 1.2572699928335107,
      "fos_yielding": 4.4560614874177995,
      "deflection": 0.00734600444768137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.272)"
      },
      "parent_node_id": "node_184",
      "improvement_over_parent": null
    },
    "node_186": {
      "node_id": "node_186",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_185",
      "improvement_over_parent": null
    },
    "node_187": {
      "node_id": "node_187",
      "content": "INITIAL DESIGN (Trace 27)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 155.86 kg\n  Factor of Safety: 0.64\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": 155.86054595375296,
      "fos_buckling": 0.635794073919041,
      "fos_yielding": 3.3942505877595956,
      "deflection": 0.014687850999650219,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_188": {
      "node_id": "node_188",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n\nPerformance:\n  Mass: 157.84 kg\n  Factor of Safety: 0.64\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": 157.8394743282474,
      "fos_buckling": 0.6354629043133885,
      "fos_yielding": 2.9543642225855633,
      "deflection": 0.012603624524136253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003091)"
      },
      "parent_node_id": "node_187",
      "improvement_over_parent": null
    },
    "node_189": {
      "node_id": "node_189",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n\nPerformance:\n  Mass: 175.82 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.22e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.81660324397743,
      "fos_buckling": 0.9999439505367134,
      "fos_yielding": 2.9718426678899976,
      "deflection": 0.009215107079884835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005566)"
      },
      "parent_node_id": "node_188",
      "improvement_over_parent": null
    },
    "node_190": {
      "node_id": "node_190",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 212.06 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.67e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.05503381818184,
      "fos_buckling": 1.1865186383722781,
      "fos_yielding": 3.5961561222567004,
      "deflection": 0.007667145060288844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_189",
      "improvement_over_parent": null
    },
    "node_191": {
      "node_id": "node_191",
      "content": "MODIFICATION: Increase 10 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0099)]\n\nPerformance:\n  Mass: 220.50 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.48e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.4993976004774,
      "fos_buckling": 1.1868189328660903,
      "fos_yielding": 3.5970662688380335,
      "deflection": 0.007482480853559538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.449)"
      },
      "parent_node_id": "node_190",
      "improvement_over_parent": null
    },
    "node_192": {
      "node_id": "node_192",
      "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0099)]\n\nPerformance:\n  Mass: 225.07 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.34e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.07196532274438,
      "fos_buckling": 1.1863159597398238,
      "fos_yielding": 3.595541834388496,
      "deflection": 0.0073429978700784845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.212)"
      },
      "parent_node_id": "node_191",
      "improvement_over_parent": null
    },
    "node_193": {
      "node_id": "node_193",
      "content": "MODIFICATION: Increase 4 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0085)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0099)]\n\nPerformance:\n  Mass: 227.46 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.22e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.46040347611066,
      "fos_buckling": 1.1866647623015458,
      "fos_yielding": 3.596599001488303,
      "deflection": 0.007220760989605818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.553)"
      },
      "parent_node_id": "node_192",
      "improvement_over_parent": null
    },
    "node_194": {
      "node_id": "node_194",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_193",
      "improvement_over_parent": null
    },
    "node_195": {
      "node_id": "node_195",
      "content": "INITIAL DESIGN (Trace 28)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n  Mass: 107.10 kg\n  Factor of Safety: 0.57\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": 107.10497245000168,
      "fos_buckling": 0.5709858756544144,
      "fos_yielding": 2.4407808512121547,
      "deflection": 0.01644034770920961,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_196": {
      "node_id": "node_196",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 124.78 kg\n  Factor of Safety: 0.65\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": 124.77515674955882,
      "fos_buckling": 0.6540366715660588,
      "fos_yielding": 2.841633134251253,
      "deflection": 0.01414254443662915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_195",
      "improvement_over_parent": null
    },
    "node_197": {
      "node_id": "node_197",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 163.32 kg\n  Factor of Safety: 0.82\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": 163.3179733464536,
      "fos_buckling": 0.8244598061649785,
      "fos_yielding": 3.714200428982088,
      "deflection": 0.010855611337683415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_196",
      "improvement_over_parent": null
    },
    "node_198": {
      "node_id": "node_198",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n\nPerformance:\n  Mass: 184.02 kg\n  Factor of Safety: 1.28\n  Max Deflection: 8.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.01607930720814,
      "fos_buckling": 1.2825131270927654,
      "fos_yielding": 3.727737345927032,
      "deflection": 0.008578425684913734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005707)"
      },
      "parent_node_id": "node_197",
      "improvement_over_parent": null
    },
    "node_199": {
      "node_id": "node_199",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7559568209533,
      "fos_buckling": 1.5267222477309486,
      "fos_yielding": 4.606970709445742,
      "deflection": 0.006965143384811621,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_198",
      "improvement_over_parent": null
    },
    "node_200": {
      "node_id": "node_200",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_199",
      "improvement_over_parent": null
    },
    "node_201": {
      "node_id": "node_201",
      "content": "INITIAL DESIGN (Trace 29)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 154.32 kg\n  Factor of Safety: 0.54\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": 154.31963745131372,
      "fos_buckling": 0.536837076510259,
      "fos_yielding": 3.6006964978108797,
      "deflection": 0.01453900733264708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_202": {
      "node_id": "node_202",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n\nPerformance:\n  Mass: 172.56 kg\n  Factor of Safety: 1.04\n  Max Deflection: 9.29e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.56084951882377,
      "fos_buckling": 1.0364336528391147,
      "fos_yielding": 3.918078098416989,
      "deflection": 0.009291414654290708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004374)"
      },
      "parent_node_id": "node_201",
      "improvement_over_parent": null
    },
    "node_203": {
      "node_id": "node_203",
      "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n\nPerformance:\n  Mass: 176.21 kg\n  Factor of Safety: 1.04\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.20849654417188,
      "fos_buckling": 1.037311877167591,
      "fos_yielding": 3.942769255368154,
      "deflection": 0.009052055486294534,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.195)"
      },
      "parent_node_id": "node_202",
      "improvement_over_parent": null
    },
    "node_204": {
      "node_id": "node_204",
      "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n\nPerformance:\n  Mass: 182.86 kg\n  Factor of Safety: 1.03\n  Max Deflection: 8.80e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.8550292766028,
      "fos_buckling": 1.0338159224094965,
      "fos_yielding": 3.889194432028229,
      "deflection": 0.008797528777077237,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.616)"
      },
      "parent_node_id": "node_203",
      "improvement_over_parent": null
    },
    "node_205": {
      "node_id": "node_205",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n\nPerformance:\n  Mass: 217.10 kg\n  Factor of Safety: 1.20\n  Max Deflection: 7.43e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.1048609884634,
      "fos_buckling": 1.204574778820003,
      "fos_yielding": 4.609552318190384,
      "deflection": 0.00743494087279339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_204",
      "improvement_over_parent": null
    },
    "node_206": {
      "node_id": "node_206",
      "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0111)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n\nPerformance:\n  Mass: 228.92 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.21e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.92074163409274,
      "fos_buckling": 1.2826426212322073,
      "fos_yielding": 4.610427387657077,
      "deflection": 0.007207831832692455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.536)"
      },
      "parent_node_id": "node_205",
      "improvement_over_parent": null
    },
    "node_207": {
      "node_id": "node_207",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_206",
      "improvement_over_parent": null
    },
    "node_208": {
      "node_id": "node_208",
      "content": "INITIAL DESIGN (Trace 30)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 107.74 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.78e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.74271299596073,
      "fos_buckling": 0.24795257156051306,
      "fos_yielding": 3.4683889403012214,
      "deflection": 37810513381408.79,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_209": {
      "node_id": "node_209",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 132.53 kg\n  Factor of Safety: 0.22\n  Max Deflection: 6.07e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.52647538828225,
      "fos_buckling": 0.22214559034092757,
      "fos_yielding": 3.195349556925942,
      "deflection": 60719655955531.26,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_208",
      "improvement_over_parent": null
    },
    "node_210": {
      "node_id": "node_210",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n\nPerformance:\n  Mass: 160.53 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.5331945719955,
      "fos_buckling": 0.8734265842321691,
      "fos_yielding": 3.9666159591982626,
      "deflection": 0.010479793060523034,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006904)"
      },
      "parent_node_id": "node_209",
      "improvement_over_parent": null
    },
    "node_211": {
      "node_id": "node_211",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 185.85 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.08e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.85170520986088,
      "fos_buckling": 0.9829572788256618,
      "fos_yielding": 4.583524942734118,
      "deflection": 0.009084446414821897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_210",
      "improvement_over_parent": null
    },
    "node_212": {
      "node_id": "node_212",
      "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 193.42 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.09e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.42247733974295,
      "fos_buckling": 0.9819821594172699,
      "fos_yielding": 4.582969320562214,
      "deflection": 0.0090931880121804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.572)"
      },
      "parent_node_id": "node_211",
      "improvement_over_parent": null
    },
    "node_213": {
      "node_id": "node_213",
      "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 197.07 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.06601263001272,
      "fos_buckling": 0.9815135594360221,
      "fos_yielding": 4.557016289965842,
      "deflection": 0.008992553870488001,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.222)"
      },
      "parent_node_id": "node_212",
      "improvement_over_parent": null
    },
    "node_214": {
      "node_id": "node_214",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 222.68 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.15e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.68254153930732,
      "fos_buckling": 1.3819423851206263,
      "fos_yielding": 4.572359417828223,
      "deflection": 0.007154956280289579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_213",
      "improvement_over_parent": null
    },
    "node_215": {
      "node_id": "node_215",
      "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0086)]\n\nPerformance:\n  Mass: 227.16 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.08e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.15747900181984,
      "fos_buckling": 1.3800761205073357,
      "fos_yielding": 4.572726942541461,
      "deflection": 0.007078800917430544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.196)"
      },
      "parent_node_id": "node_214",
      "improvement_over_parent": null
    },
    "node_216": {
      "node_id": "node_216",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_215",
      "improvement_over_parent": null
    },
    "node_217": {
      "node_id": "node_217",
      "content": "INITIAL DESIGN (Trace 31)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 142.24 kg\n  Factor of Safety: 0.60\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": 142.24395885128166,
      "fos_buckling": 0.5964137303310669,
      "fos_yielding": 2.982425661759921,
      "deflection": 0.016095759879812804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_218": {
      "node_id": "node_218",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 175.02 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.02155359416716,
      "fos_buckling": 0.6899127579419817,
      "fos_yielding": 3.512446901275767,
      "deflection": 0.011464805887784818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_217",
      "improvement_over_parent": null
    },
    "node_219": {
      "node_id": "node_219",
      "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 185.99 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.98897266049576,
      "fos_buckling": 0.9820991941335987,
      "fos_yielding": 3.511771342603518,
      "deflection": 0.010037168176982744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.562)"
      },
      "parent_node_id": "node_218",
      "improvement_over_parent": null
    },
    "node_220": {
      "node_id": "node_220",
      "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 192.23 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.30e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.232666002247,
      "fos_buckling": 0.981295700299599,
      "fos_yielding": 3.5113285524384135,
      "deflection": 0.009304945291889709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.316)"
      },
      "parent_node_id": "node_219",
      "improvement_over_parent": null
    },
    "node_221": {
      "node_id": "node_221",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 217.85 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.8491949115416,
      "fos_buckling": 1.3122290268364667,
      "fos_yielding": 3.522373608784054,
      "deflection": 0.007473812221064473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_220",
      "improvement_over_parent": null
    },
    "node_222": {
      "node_id": "node_222",
      "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 218.99 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.37e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.9931953793959,
      "fos_buckling": 1.4918274751079124,
      "fos_yielding": 4.5365343498957555,
      "deflection": 0.007371872873207862,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.323)"
      },
      "parent_node_id": "node_221",
      "improvement_over_parent": null
    },
    "node_223": {
      "node_id": "node_223",
      "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.60855638811586,
      "fos_buckling": 1.5260188369781362,
      "fos_yielding": 4.606332298215288,
      "deflection": 0.006969671868872372,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.481)"
      },
      "parent_node_id": "node_222",
      "improvement_over_parent": null
    },
    "node_224": {
      "node_id": "node_224",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_223",
      "improvement_over_parent": null
    },
    "node_225": {
      "node_id": "node_225",
      "content": "INITIAL DESIGN (Trace 32)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n  Mass: 128.71 kg\n  Factor of Safety: 0.55\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": 128.71220592326983,
      "fos_buckling": 0.5523946252826041,
      "fos_yielding": 3.5069084507525057,
      "deflection": 0.017804763013326258,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_226": {
      "node_id": "node_226",
      "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n  Mass: 132.73 kg\n  Factor of Safety: 0.55\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": 132.72526034296777,
      "fos_buckling": 0.552101846115196,
      "fos_yielding": 3.5069084507525057,
      "deflection": 0.016919298247249845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.236)"
      },
      "parent_node_id": "node_225",
      "improvement_over_parent": null
    },
    "node_227": {
      "node_id": "node_227",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n\nPerformance:\n  Mass: 134.35 kg\n  Factor of Safety: 0.55\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": 134.34998441500852,
      "fos_buckling": 0.551865004429403,
      "fos_yielding": 3.506908450752505,
      "deflection": 0.014155060393268994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002503)"
      },
      "parent_node_id": "node_226",
      "improvement_over_parent": null
    },
    "node_228": {
      "node_id": "node_228",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n\nPerformance:\n  Mass: 166.56 kg\n  Factor of Safety: 0.67\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": 166.5609798886923,
      "fos_buckling": 0.6701974219281266,
      "fos_yielding": 4.34349140887642,
      "deflection": 0.011448967677268482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_227",
      "improvement_over_parent": null
    },
    "node_229": {
      "node_id": "node_229",
      "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0044)]\n\nPerformance:\n  Mass: 167.26 kg\n  Factor of Safety: 0.67\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": 167.2561356611053,
      "fos_buckling": 0.6700749357153201,
      "fos_yielding": 4.343491408876417,
      "deflection": 0.011429328216285476,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.385)"
      },
      "parent_node_id": "node_228",
      "improvement_over_parent": null
    },
    "node_230": {
      "node_id": "node_230",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0044)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n\nPerformance:\n  Mass: 185.53 kg\n  Factor of Safety: 1.11\n  Max Deflection: 8.56e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.53224680747442,
      "fos_buckling": 1.108107212978496,
      "fos_yielding": 3.830586704957667,
      "deflection": 0.00856089309566313,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005666)"
      },
      "parent_node_id": "node_229",
      "improvement_over_parent": null
    },
    "node_231": {
      "node_id": "node_231",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0052)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 219.91 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.25e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.91071732173975,
      "fos_buckling": 1.2856336577204077,
      "fos_yielding": 4.534183147593602,
      "deflection": 0.007249628522989716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_230",
      "improvement_over_parent": null
    },
    "node_232": {
      "node_id": "node_232",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_231",
      "improvement_over_parent": null
    },
    "node_233": {
      "node_id": "node_233",
      "content": "INITIAL DESIGN (Trace 33)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0013)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 151.76 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.7637938190634,
      "fos_buckling": 0.7776264022858775,
      "fos_yielding": 3.1112129485703357,
      "deflection": 0.01063301739533666,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_234": {
      "node_id": "node_234",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 180.46 kg\n  Factor of Safety: 0.92\n  Max Deflection: 8.97e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.4577884839126,
      "fos_buckling": 0.9193906059285941,
      "fos_yielding": 3.6954343195047588,
      "deflection": 0.008967269444464769,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_233",
      "improvement_over_parent": null
    },
    "node_235": {
      "node_id": "node_235",
      "content": "MODIFICATION: Increase 5 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 180.99 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.77e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.9910053200335,
      "fos_buckling": 1.256648996588377,
      "fos_yielding": 3.6793600979333614,
      "deflection": 0.008773640588810406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.550)"
      },
      "parent_node_id": "node_234",
      "improvement_over_parent": null
    },
    "node_236": {
      "node_id": "node_236",
      "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 181.33 kg\n  Factor of Safety: 1.27\n  Max Deflection: 8.70e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.33212015654573,
      "fos_buckling": 1.2667168817132834,
      "fos_yielding": 3.673483353878312,
      "deflection": 0.008702936313305027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.235)"
      },
      "parent_node_id": "node_235",
      "improvement_over_parent": null
    },
    "node_237": {
      "node_id": "node_237",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5805678376892,
      "fos_buckling": 1.5257120330638962,
      "fos_yielding": 4.603184319726199,
      "deflection": 0.006970508573245264,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_236",
      "improvement_over_parent": null
    },
    "node_238": {
      "node_id": "node_238",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_237",
      "improvement_over_parent": null
    },
    "node_239": {
      "node_id": "node_239",
      "content": "INITIAL DESIGN (Trace 34)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n  Mass: 96.72 kg\n  Factor of Safety: 0.20\n  Max Deflection: 1.31e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 96.71544122827021,
      "fos_buckling": 0.19740175187998282,
      "fos_yielding": 1.3924624065971622,
      "deflection": 130946902871939.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_240": {
      "node_id": "node_240",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n  Mass: 120.02 kg\n  Factor of Safety: 0.37\n  Max Deflection: 5.53e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.01993517580323,
      "fos_buckling": 0.3682444251885574,
      "fos_yielding": 3.3171316517105254,
      "deflection": 55341665399036.22,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_239",
      "improvement_over_parent": null
    },
    "node_241": {
      "node_id": "node_241",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n\nPerformance:\n  Mass: 135.11 kg\n  Factor of Safety: 0.44\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": 135.1052588492949,
      "fos_buckling": 0.43841985856213633,
      "fos_yielding": 2.2701733782234337,
      "deflection": 0.017500060605034756,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004613)"
      },
      "parent_node_id": "node_240",
      "improvement_over_parent": null
    },
    "node_242": {
      "node_id": "node_242",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 157.93 kg\n  Factor of Safety: 1.05\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.93256497425952,
      "fos_buckling": 1.0463491342590294,
      "fos_yielding": 2.721325119006597,
      "deflection": 0.010013028327402466,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005507)"
      },
      "parent_node_id": "node_241",
      "improvement_over_parent": null
    },
    "node_243": {
      "node_id": "node_243",
      "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 162.04 kg\n  Factor of Safety: 1.05\n  Max Deflection: 9.77e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.03681088593206,
      "fos_buckling": 1.0460222848320897,
      "fos_yielding": 2.720475055173654,
      "deflection": 0.009771862539921123,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.196)"
      },
      "parent_node_id": "node_242",
      "improvement_over_parent": null
    },
    "node_244": {
      "node_id": "node_244",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 203.24 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.83e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.2436375952255,
      "fos_buckling": 1.2810941518069952,
      "fos_yielding": 3.4190606024124612,
      "deflection": 0.007825535872027624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_243",
      "improvement_over_parent": null
    },
    "node_245": {
      "node_id": "node_245",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 232.56 kg\n  Factor of Safety: 1.44\n  Max Deflection: 6.86e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.56443246126372,
      "fos_buckling": 1.44065314228209,
      "fos_yielding": 3.918392603121811,
      "deflection": 0.006860568120418932,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_244",
      "improvement_over_parent": null
    },
    "node_246": {
      "node_id": "node_246",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_245",
      "improvement_over_parent": null
    },
    "node_247": {
      "node_id": "node_247",
      "content": "INITIAL DESIGN (Trace 35)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 142.30 kg\n  Factor of Safety: 0.33\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": 142.29884313540893,
      "fos_buckling": 0.33188067114795944,
      "fos_yielding": 2.994550637337255,
      "deflection": 0.01780358915762563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_248": {
      "node_id": "node_248",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 167.71 kg\n  Factor of Safety: 1.09\n  Max Deflection: 9.32e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.7134362564741,
      "fos_buckling": 1.0875547680213256,
      "fos_yielding": 3.6205979334924754,
      "deflection": 0.009315679714453866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006176)"
      },
      "parent_node_id": "node_247",
      "improvement_over_parent": null
    },
    "node_249": {
      "node_id": "node_249",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 216.50 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.26e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.49766753870063,
      "fos_buckling": 1.3638493048112605,
      "fos_yielding": 4.661335098888119,
      "deflection": 0.007256685047548236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_248",
      "improvement_over_parent": null
    },
    "node_250": {
      "node_id": "node_250",
      "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 223.76 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.7612806825028,
      "fos_buckling": 1.4861122472408985,
      "fos_yielding": 4.603300001598195,
      "deflection": 0.007060675504296707,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.553)"
      },
      "parent_node_id": "node_249",
      "improvement_over_parent": null
    },
    "node_251": {
      "node_id": "node_251",
      "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.62707447527401,
      "fos_buckling": 1.5260406217241247,
      "fos_yielding": 4.603969459432116,
      "deflection": 0.006969159508889781,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.233)"
      },
      "parent_node_id": "node_250",
      "improvement_over_parent": null
    },
    "node_252": {
      "node_id": "node_252",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_251",
      "improvement_over_parent": null
    },
    "node_253": {
      "node_id": "node_253",
      "content": "INITIAL DESIGN (Trace 36)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\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_254": {
      "node_id": "node_254",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n\nPerformance:\n  Mass: 156.02 kg\n  Factor of Safety: 0.79\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": 156.02094098907563,
      "fos_buckling": 0.7933206438409623,
      "fos_yielding": 3.5492099593882305,
      "deflection": 0.011353218005854973,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005202)"
      },
      "parent_node_id": "node_253",
      "improvement_over_parent": null
    },
    "node_255": {
      "node_id": "node_255",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 201.94 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.9359090602831,
      "fos_buckling": 0.980638615263609,
      "fos_yielding": 4.58604450517204,
      "deflection": 0.008820628670249731,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_254",
      "improvement_over_parent": null
    },
    "node_256": {
      "node_id": "node_256",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5524379695777,
      "fos_buckling": 1.5255062872233136,
      "fos_yielding": 4.602432600103439,
      "deflection": 0.006971452067394178,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_255",
      "improvement_over_parent": null
    },
    "node_257": {
      "node_id": "node_257",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_256",
      "improvement_over_parent": null
    },
    "node_258": {
      "node_id": "node_258",
      "content": "INITIAL DESIGN (Trace 37)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0013)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 102.84 kg\n  Factor of Safety: 0.62\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": 102.83636101250129,
      "fos_buckling": 0.6239662703226825,
      "fos_yielding": 3.008977672371487,
      "deflection": 0.018141108161044524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_259": {
      "node_id": "node_259",
      "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 103.02 kg\n  Factor of Safety: 0.62\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": 103.01884888737551,
      "fos_buckling": 0.6239360823213183,
      "fos_yielding": 3.008977672371487,
      "deflection": 0.01813808179001784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.215)"
      },
      "parent_node_id": "node_258",
      "improvement_over_parent": null
    },
    "node_260": {
      "node_id": "node_260",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 114.61 kg\n  Factor of Safety: 0.69\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": 114.60602105338995,
      "fos_buckling": 0.6854454858520894,
      "fos_yielding": 3.3468506244053575,
      "deflection": 0.01633037712851579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_259",
      "improvement_over_parent": null
    },
    "node_261": {
      "node_id": "node_261",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n\nPerformance:\n  Mass: 131.25 kg\n  Factor of Safety: 0.70\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": 131.2543182423186,
      "fos_buckling": 0.7002024543255788,
      "fos_yielding": 3.3468506244053575,
      "deflection": 0.01332187326207851,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004524)"
      },
      "parent_node_id": "node_260",
      "improvement_over_parent": null
    },
    "node_262": {
      "node_id": "node_262",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 147.58 kg\n  Factor of Safety: 1.01\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.5760722740342,
      "fos_buckling": 1.0106474585969678,
      "fos_yielding": 3.007253549248275,
      "deflection": 0.010748666334359086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004479)"
      },
      "parent_node_id": "node_261",
      "improvement_over_parent": null
    },
    "node_263": {
      "node_id": "node_263",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 188.00 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.47e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.000426989813,
      "fos_buckling": 1.2640958184942488,
      "fos_yielding": 3.8254572029366383,
      "deflection": 0.008474040231627093,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_262",
      "improvement_over_parent": null
    },
    "node_264": {
      "node_id": "node_264",
      "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 188.46 kg\n  Factor of Safety: 1.31\n  Max Deflection: 8.38e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.4591568633849,
      "fos_buckling": 1.3082756964834608,
      "fos_yielding": 3.8170613540767233,
      "deflection": 0.008380503754800084,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.326)"
      },
      "parent_node_id": "node_263",
      "improvement_over_parent": null
    },
    "node_265": {
      "node_id": "node_265",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.42 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.41882768017715,
      "fos_buckling": 1.524832114786958,
      "fos_yielding": 4.600077553696994,
      "deflection": 0.0069753068866903025,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_264",
      "improvement_over_parent": null
    },
    "node_266": {
      "node_id": "node_266",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_265",
      "improvement_over_parent": null
    },
    "node_267": {
      "node_id": "node_267",
      "content": "INITIAL DESIGN (Trace 38)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_268": {
      "node_id": "node_268",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n\nPerformance:\n  Mass: 117.45 kg\n  Factor of Safety: 0.64\n  Max Deflection: 7.65e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.44754437220644,
      "fos_buckling": 0.6391656742229096,
      "fos_yielding": 3.6548753404219045,
      "deflection": 7652152341716.359,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003772)"
      },
      "parent_node_id": "node_267",
      "improvement_over_parent": null
    },
    "node_269": {
      "node_id": "node_269",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n\nPerformance:\n  Mass: 144.36 kg\n  Factor of Safety: 0.85\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": 144.35656658999463,
      "fos_buckling": 0.845973191580061,
      "fos_yielding": 4.278130729838692,
      "deflection": 0.012831601512842935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006612)"
      },
      "parent_node_id": "node_268",
      "improvement_over_parent": null
    },
    "node_270": {
      "node_id": "node_270",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 165.22 kg\n  Factor of Safety: 0.84\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": 165.22398164075867,
      "fos_buckling": 0.8436518022900434,
      "fos_yielding": 3.8590494895860767,
      "deflection": 0.010796901424753223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005823)"
      },
      "parent_node_id": "node_269",
      "improvement_over_parent": null
    },
    "node_271": {
      "node_id": "node_271",
      "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0062)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 166.77 kg\n  Factor of Safety: 0.84\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": 166.76951279907271,
      "fos_buckling": 0.8436518022900434,
      "fos_yielding": 3.8590494895860767,
      "deflection": 0.010796901424753223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.477)"
      },
      "parent_node_id": "node_270",
      "improvement_over_parent": null
    },
    "node_272": {
      "node_id": "node_272",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0062)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n  Mass: 185.12 kg\n  Factor of Safety: 1.19\n  Max Deflection: 8.47e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.1216979129871,
      "fos_buckling": 1.1926391614312684,
      "fos_yielding": 3.8728353217173397,
      "deflection": 0.008465160584143757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005627)"
      },
      "parent_node_id": "node_271",
      "improvement_over_parent": null
    },
    "node_273": {
      "node_id": "node_273",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0076)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 222.91 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.90972341878128,
      "fos_buckling": 1.4036913020432549,
      "fos_yielding": 4.656525145002173,
      "deflection": 0.00705997777772712,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_272",
      "improvement_over_parent": null
    },
    "node_274": {
      "node_id": "node_274",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_273",
      "improvement_over_parent": null
    },
    "node_275": {
      "node_id": "node_275",
      "content": "INITIAL DESIGN (Trace 39)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0011)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 136.62 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.62185561801311,
      "fos_buckling": 0.753355950396197,
      "fos_yielding": 2.614050798593432,
      "deflection": 0.012737706640151128,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_276": {
      "node_id": "node_276",
      "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 136.94 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.93829888685826,
      "fos_buckling": 0.7532930292269399,
      "fos_yielding": 2.606616830682797,
      "deflection": 0.012685855584377018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.456)"
      },
      "parent_node_id": "node_275",
      "improvement_over_parent": null
    },
    "node_277": {
      "node_id": "node_277",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n  Mass: 154.68 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.68440470798117,
      "fos_buckling": 0.8937126615123954,
      "fos_yielding": 2.6247001504025707,
      "deflection": 0.010364546828002086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004895)"
      },
      "parent_node_id": "node_276",
      "improvement_over_parent": null
    },
    "node_278": {
      "node_id": "node_278",
      "content": "MODIFICATION: Increase 5 thickness by 67%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n  Mass: 155.33 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.33424896956092,
      "fos_buckling": 0.8891181819367795,
      "fos_yielding": 2.6112068524417547,
      "deflection": 0.010166982800510828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.667)"
      },
      "parent_node_id": "node_277",
      "improvement_over_parent": null
    },
    "node_279": {
      "node_id": "node_279",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 182.20 kg\n  Factor of Safety: 1.03\n  Max Deflection: 8.69e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.20486032648358,
      "fos_buckling": 1.0308056350143702,
      "fos_yielding": 3.070055825234579,
      "deflection": 0.008693183601387138,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_278",
      "improvement_over_parent": null
    },
    "node_280": {
      "node_id": "node_280",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 219.98 kg\n  Factor of Safety: 1.22\n  Max Deflection: 7.23e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.97508150925069,
      "fos_buckling": 1.2238531828584804,
      "fos_yielding": 3.7195833779805,
      "deflection": 0.007230273870882479,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_279",
      "improvement_over_parent": null
    },
    "node_281": {
      "node_id": "node_281",
      "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 221.37 kg\n  Factor of Safety: 1.46\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.3676298351498,
      "fos_buckling": 1.4619523933705665,
      "fos_yielding": 4.602142000796674,
      "deflection": 0.0071176060931266005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.513)"
      },
      "parent_node_id": "node_280",
      "improvement_over_parent": null
    },
    "node_282": {
      "node_id": "node_282",
      "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.57 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.57312293105298,
      "fos_buckling": 1.525707772193799,
      "fos_yielding": 4.603128385697091,
      "deflection": 0.0069706860625480625,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.351)"
      },
      "parent_node_id": "node_281",
      "improvement_over_parent": null
    },
    "node_283": {
      "node_id": "node_283",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_282",
      "improvement_over_parent": null
    },
    "node_284": {
      "node_id": "node_284",
      "content": "INITIAL DESIGN (Trace 40)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0025)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 146.31 kg\n  Factor of Safety: 0.52\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": 146.31431603247694,
      "fos_buckling": 0.5173717051074341,
      "fos_yielding": 3.320656332750962,
      "deflection": 0.019802679142665345,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_285": {
      "node_id": "node_285",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0032)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 181.62 kg\n  Factor of Safety: 0.62\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": 181.62257711321354,
      "fos_buckling": 0.6173232885226531,
      "fos_yielding": 4.145339233964017,
      "deflection": 0.015946600551833615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_284",
      "improvement_over_parent": null
    },
    "node_286": {
      "node_id": "node_286",
      "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 185.96 kg\n  Factor of Safety: 0.62\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": 185.9562192721085,
      "fos_buckling": 0.6169723962448803,
      "fos_yielding": 4.267670976304974,
      "deflection": 0.013925214942309834,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.383)"
      },
      "parent_node_id": "node_285",
      "improvement_over_parent": null
    },
    "node_287": {
      "node_id": "node_287",
      "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 195.30 kg\n  Factor of Safety: 0.62\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": 195.29870843883276,
      "fos_buckling": 0.6162172960385418,
      "fos_yielding": 4.262688386149065,
      "deflection": 0.011897502965408532,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.629)"
      },
      "parent_node_id": "node_286",
      "improvement_over_parent": null
    },
    "node_288": {
      "node_id": "node_288",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.69232807895105,
      "fos_buckling": 1.526345690627966,
      "fos_yielding": 4.605593275269977,
      "deflection": 0.006967233462396182,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_287",
      "improvement_over_parent": null
    },
    "node_289": {
      "node_id": "node_289",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_288",
      "improvement_over_parent": null
    },
    "node_290": {
      "node_id": "node_290",
      "content": "INITIAL DESIGN (Trace 41)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 156.75 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.74700771263025,
      "fos_buckling": 1.0889794932700816,
      "fos_yielding": 3.0657156730601076,
      "deflection": 0.010238816519405534,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_291": {
      "node_id": "node_291",
      "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 161.89 kg\n  Factor of Safety: 1.09\n  Max Deflection: 9.85e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.89299885430785,
      "fos_buckling": 1.0906462847817684,
      "fos_yielding": 3.098161510438176,
      "deflection": 0.009848043779240962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.318)"
      },
      "parent_node_id": "node_290",
      "improvement_over_parent": null
    },
    "node_292": {
      "node_id": "node_292",
      "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 166.25 kg\n  Factor of Safety: 1.09\n  Max Deflection: 9.70e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.24958616010503,
      "fos_buckling": 1.088616523907467,
      "fos_yielding": 3.074951611413589,
      "deflection": 0.009702644180219083,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.299)"
      },
      "parent_node_id": "node_291",
      "improvement_over_parent": null
    },
    "node_293": {
      "node_id": "node_293",
      "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 172.81 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.31e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.8063992614048,
      "fos_buckling": 1.0109734163759605,
      "fos_yielding": 3.0731581508527315,
      "deflection": 0.009308358615182784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.449)"
      },
      "parent_node_id": "node_292",
      "improvement_over_parent": null
    },
    "node_294": {
      "node_id": "node_294",
      "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 180.60 kg\n  Factor of Safety: 1.17\n  Max Deflection: 8.78e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.596092952209,
      "fos_buckling": 1.1657344331190442,
      "fos_yielding": 3.070890666745156,
      "deflection": 0.00878248537507603,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.464)"
      },
      "parent_node_id": "node_293",
      "improvement_over_parent": null
    },
    "node_295": {
      "node_id": "node_295",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 226.67 kg\n  Factor of Safety: 1.42\n  Max Deflection: 7.03e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.67431996666585,
      "fos_buckling": 1.4231504269480681,
      "fos_yielding": 3.862152063045473,
      "deflection": 0.007032576612220782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_294",
      "improvement_over_parent": null
    },
    "node_296": {
      "node_id": "node_296",
      "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.50 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.49730946099095,
      "fos_buckling": 1.5249484141639997,
      "fos_yielding": 4.601897517937465,
      "deflection": 0.006972880795723808,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.215)"
      },
      "parent_node_id": "node_295",
      "improvement_over_parent": null
    },
    "node_297": {
      "node_id": "node_297",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_296",
      "improvement_over_parent": null
    },
    "node_298": {
      "node_id": "node_298",
      "content": "INITIAL DESIGN (Trace 42)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0021)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0025)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0023)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n\nPerformance:\n  Mass: 98.83 kg\n  Factor of Safety: 0.65\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": 98.82578128784347,
      "fos_buckling": 0.6488524900403934,
      "fos_yielding": 2.2520040745937,
      "deflection": 0.01608175408381391,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_299": {
      "node_id": "node_299",
      "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0025)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0023)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n\nPerformance:\n  Mass: 104.05 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 104.05437115028991,
      "fos_buckling": 0.7758638234215133,
      "fos_yielding": 2.2502077500827378,
      "deflection": 0.01485763965884297,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.661)"
      },
      "parent_node_id": "node_298",
      "improvement_over_parent": null
    },
    "node_300": {
      "node_id": "node_300",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 130.69 kg\n  Factor of Safety: 0.95\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": 130.6920424218786,
      "fos_buckling": 0.9518283729178381,
      "fos_yielding": 2.822314509850198,
      "deflection": 0.011866167502428544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_299",
      "improvement_over_parent": null
    },
    "node_301": {
      "node_id": "node_301",
      "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 134.95 kg\n  Factor of Safety: 0.97\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": 134.9508039173549,
      "fos_buckling": 0.9672860338684024,
      "fos_yielding": 2.792819406579335,
      "deflection": 0.011587095482286388,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.410)"
      },
      "parent_node_id": "node_300",
      "improvement_over_parent": null
    },
    "node_302": {
      "node_id": "node_302",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 176.27 kg\n  Factor of Safety: 1.22\n  Max Deflection: 8.91e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.2665822089269,
      "fos_buckling": 1.2186695765598519,
      "fos_yielding": 3.641623461810974,
      "deflection": 0.008913018269756883,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_301",
      "improvement_over_parent": null
    },
    "node_303": {
      "node_id": "node_303",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 222.92 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.09e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.918577103749,
      "fos_buckling": 1.4779239689096442,
      "fos_yielding": 4.596456730149461,
      "deflection": 0.007085119119852465,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_302",
      "improvement_over_parent": null
    },
    "node_304": {
      "node_id": "node_304",
      "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.30 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.2980744867055,
      "fos_buckling": 1.5241922519003563,
      "fos_yielding": 4.597237475209159,
      "deflection": 0.00697894282080586,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.272)"
      },
      "parent_node_id": "node_303",
      "improvement_over_parent": null
    },
    "node_305": {
      "node_id": "node_305",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_304",
      "improvement_over_parent": null
    },
    "node_306": {
      "node_id": "node_306",
      "content": "INITIAL DESIGN (Trace 43)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 130.85 kg\n  Factor of Safety: 0.70\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": 130.84949834231284,
      "fos_buckling": 0.7045897162981125,
      "fos_yielding": 3.3901184525923465,
      "deflection": 0.016783931002378658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_307": {
      "node_id": "node_307",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n  Mass: 132.42 kg\n  Factor of Safety: 0.71\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": 132.4196990960393,
      "fos_buckling": 0.7082441178060846,
      "fos_yielding": 3.3901184525923465,
      "deflection": 0.013914069429601,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002414)"
      },
      "parent_node_id": "node_306",
      "improvement_over_parent": null
    },
    "node_308": {
      "node_id": "node_308",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n\nPerformance:\n  Mass: 146.68 kg\n  Factor of Safety: 1.08\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": 146.68413212858897,
      "fos_buckling": 1.0761628402095054,
      "fos_yielding": 3.01682764689528,
      "deflection": 0.010792533706709614,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004347)"
      },
      "parent_node_id": "node_307",
      "improvement_over_parent": null
    },
    "node_309": {
      "node_id": "node_309",
      "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n\nPerformance:\n  Mass: 149.90 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.89860978208492,
      "fos_buckling": 1.0759482218093204,
      "fos_yielding": 3.039803145918368,
      "deflection": 0.010490586260347032,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.221)"
      },
      "parent_node_id": "node_308",
      "improvement_over_parent": null
    },
    "node_310": {
      "node_id": "node_310",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n  Mass: 177.17 kg\n  Factor of Safety: 1.24\n  Max Deflection: 8.90e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.16903545540916,
      "fos_buckling": 1.2420128287121055,
      "fos_yielding": 3.5895029845681927,
      "deflection": 0.008903233772224546,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_309",
      "improvement_over_parent": null
    },
    "node_311": {
      "node_id": "node_311",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.52952187320807,
      "fos_buckling": 1.5252785236775879,
      "fos_yielding": 4.60197301819836,
      "deflection": 0.006972016141065004,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_310",
      "improvement_over_parent": null
    },
    "node_312": {
      "node_id": "node_312",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_311",
      "improvement_over_parent": null
    },
    "node_313": {
      "node_id": "node_313",
      "content": "INITIAL DESIGN (Trace 44)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0034)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0016)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n  Mass: 117.79 kg\n  Factor of Safety: 0.63\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": 117.79411250845101,
      "fos_buckling": 0.6291342739291501,
      "fos_yielding": 1.8047130834793144,
      "deflection": 0.013497659489127506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_314": {
      "node_id": "node_314",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0019)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 142.01 kg\n  Factor of Safety: 0.75\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": 142.01382879711792,
      "fos_buckling": 0.751764113937374,
      "fos_yielding": 2.180944479454769,
      "deflection": 0.011224445826380325,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_313",
      "improvement_over_parent": null
    },
    "node_315": {
      "node_id": "node_315",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 167.69 kg\n  Factor of Safety: 0.88\n  Max Deflection: 9.53e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.69007599659992,
      "fos_buckling": 0.8792504460677281,
      "fos_yielding": 2.582099974889813,
      "deflection": 0.009531535900030544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_314",
      "improvement_over_parent": null
    },
    "node_316": {
      "node_id": "node_316",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 195.45 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.20e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.44662478016963,
      "fos_buckling": 1.0141425570917708,
      "fos_yielding": 3.018661555261011,
      "deflection": 0.008201723461351467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_315",
      "improvement_over_parent": null
    },
    "node_317": {
      "node_id": "node_317",
      "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 196.79 kg\n  Factor of Safety: 1.36\n  Max Deflection: 8.03e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.7887437119742,
      "fos_buckling": 1.35611329310407,
      "fos_yielding": 3.9845370724840325,
      "deflection": 0.00803338360029943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.595)"
      },
      "parent_node_id": "node_316",
      "improvement_over_parent": null
    },
    "node_318": {
      "node_id": "node_318",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.60034447857763,
      "fos_buckling": 1.5258217712831674,
      "fos_yielding": 4.603599097707982,
      "deflection": 0.006969948262104243,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_317",
      "improvement_over_parent": null
    },
    "node_319": {
      "node_id": "node_319",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_318",
      "improvement_over_parent": null
    },
    "node_320": {
      "node_id": "node_320",
      "content": "INITIAL DESIGN (Trace 45)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\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_321": {
      "node_id": "node_321",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 154.31 kg\n  Factor of Safety: 0.82\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": 154.30745952115902,
      "fos_buckling": 0.8171864084837114,
      "fos_yielding": 4.001806878711345,
      "deflection": 0.011553303617465763,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005423)"
      },
      "parent_node_id": "node_320",
      "improvement_over_parent": null
    },
    "node_322": {
      "node_id": "node_322",
      "content": "MODIFICATION: Increase 4 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 154.99 kg\n  Factor of Safety: 0.82\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": 154.99179771475494,
      "fos_buckling": 0.8170391406149943,
      "fos_yielding": 4.001806878711345,
      "deflection": 0.01149280754553045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.626)"
      },
      "parent_node_id": "node_321",
      "improvement_over_parent": null
    },
    "node_323": {
      "node_id": "node_323",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n  Mass: 171.83 kg\n  Factor of Safety: 1.24\n  Max Deflection: 9.28e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.83414679154927,
      "fos_buckling": 1.2391613108327957,
      "fos_yielding": 3.5878911901833566,
      "deflection": 0.009278032024780107,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005189)"
      },
      "parent_node_id": "node_322",
      "improvement_over_parent": null
    },
    "node_324": {
      "node_id": "node_324",
      "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n  Mass: 176.98 kg\n  Factor of Safety: 1.24\n  Max Deflection: 8.91e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.98069880052154,
      "fos_buckling": 1.2411238205478583,
      "fos_yielding": 3.5860540213640277,
      "deflection": 0.008912610653959685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.333)"
      },
      "parent_node_id": "node_323",
      "improvement_over_parent": null
    },
    "node_325": {
      "node_id": "node_325",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6086324080347,
      "fos_buckling": 1.5259643415667061,
      "fos_yielding": 4.603990430765897,
      "deflection": 0.00696972579941684,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_324",
      "improvement_over_parent": null
    },
    "node_326": {
      "node_id": "node_326",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_325",
      "improvement_over_parent": null
    },
    "node_327": {
      "node_id": "node_327",
      "content": "INITIAL DESIGN (Trace 46)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n\nPerformance:\n  Mass: 99.88 kg\n  Factor of Safety: 1.26\n  Max Deflection: 2.31e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 99.88152661752915,
      "fos_buckling": 1.2566761408463438,
      "fos_yielding": 3.278884660294276,
      "deflection": 23073010903034.977,
      "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: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n\nPerformance:\n  Mass: 113.03 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.04e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.0254344967569,
      "fos_buckling": 0.3889803611584944,
      "fos_yielding": 2.346509599369331,
      "deflection": 0.02038291568260926,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003987)"
      },
      "parent_node_id": "node_327",
      "improvement_over_parent": null
    },
    "node_329": {
      "node_id": "node_329",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n\nPerformance:\n  Mass: 143.72 kg\n  Factor of Safety: 0.48\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": 143.71584800803046,
      "fos_buckling": 0.47877801702205286,
      "fos_yielding": 2.977471050988411,
      "deflection": 0.016086222067814432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_328",
      "improvement_over_parent": null
    },
    "node_330": {
      "node_id": "node_330",
      "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n\nPerformance:\n  Mass: 150.55 kg\n  Factor of Safety: 0.48\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": 150.54546916002374,
      "fos_buckling": 0.47834722392368495,
      "fos_yielding": 2.976804052945188,
      "deflection": 0.01589404287323773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.381)"
      },
      "parent_node_id": "node_329",
      "improvement_over_parent": null
    },
    "node_331": {
      "node_id": "node_331",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0099)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 194.96 kg\n  Factor of Safety: 0.59\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": 194.95738210991703,
      "fos_buckling": 0.5921345797328963,
      "fos_yielding": 3.849879604442599,
      "deflection": 0.012319581218884051,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_330",
      "improvement_over_parent": null
    },
    "node_332": {
      "node_id": "node_332",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0099)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.73 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.15e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.73497685280253,
      "fos_buckling": 1.338269959222331,
      "fos_yielding": 4.606094656436877,
      "deflection": 0.007149586581944058,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_331",
      "improvement_over_parent": null
    },
    "node_333": {
      "node_id": "node_333",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_332",
      "improvement_over_parent": null
    },
    "node_334": {
      "node_id": "node_334",
      "content": "INITIAL DESIGN (Trace 47)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (6 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_335": {
      "node_id": "node_335",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 120.84 kg\n  Factor of Safety: 0.79\n  Max Deflection: 9.14e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.84461954858247,
      "fos_buckling": 0.7914292349413141,
      "fos_yielding": 2.2906339293514786,
      "deflection": 914446227825115.2,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006477)"
      },
      "parent_node_id": "node_334",
      "improvement_over_parent": null
    },
    "node_336": {
      "node_id": "node_336",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 149.02 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.11e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.02136887070446,
      "fos_buckling": 0.42680786322702935,
      "fos_yielding": 4.811388226851922,
      "deflection": 111356221974392.67,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_335",
      "improvement_over_parent": null
    },
    "node_337": {
      "node_id": "node_337",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 181.41 kg\n  Factor of Safety: 1.00\n  Max Deflection: 6.05e+11 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.41498851082275,
      "fos_buckling": 0.9980313759419748,
      "fos_yielding": 5.145527068782102,
      "deflection": 605365116832.3315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_336",
      "improvement_over_parent": null
    },
    "node_338": {
      "node_id": "node_338",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 203.51 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.50613663948306,
      "fos_buckling": 1.0039392882441345,
      "fos_yielding": 5.141001386626411,
      "deflection": 0.010572922818349118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_337",
      "improvement_over_parent": null
    },
    "node_339": {
      "node_id": "node_339",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 225.17 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.16543291633047,
      "fos_buckling": 0.9996381459255399,
      "fos_yielding": 5.120132446943687,
      "deflection": 0.010603729519937306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_338",
      "improvement_over_parent": null
    },
    "node_340": {
      "node_id": "node_340",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.55011522791662,
      "fos_buckling": 1.525443418429428,
      "fos_yielding": 4.601650808115341,
      "deflection": 0.006971506080535441,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_339",
      "improvement_over_parent": null
    },
    "node_341": {
      "node_id": "node_341",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 48)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0024)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0024)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0021)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0021)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0016)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0017)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0022)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0025)]\n\nPerformance:\n  Mass: 65.63 kg\n  Factor of Safety: 0.37\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": 65.63343744618888,
      "fos_buckling": 0.3679235783474431,
      "fos_yielding": 1.6891320173447215,
      "deflection": 0.03192941837307332,
      "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 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0024)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0024)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0021)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0021)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0016)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0017)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0022)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0025)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0022)]\n\nPerformance:\n  Mass: 74.06 kg\n  Factor of Safety: 0.37\n  Max Deflection: 3.19e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 74.05515528664074,
      "fos_buckling": 0.3720727777463326,
      "fos_yielding": 1.6947035622626856,
      "deflection": 0.0319273197112313,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.002226)"
      },
      "parent_node_id": "node_342",
      "improvement_over_parent": null
    },
    "node_344": {
      "node_id": "node_344",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0024)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0024)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0021)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0021)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0016)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0017)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0022)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0025)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0022)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0012)]\n\nPerformance:\n  Mass: 74.84 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.08e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 74.83949238441997,
      "fos_buckling": 0.5721671171819401,
      "fos_yielding": 1.5216075277247272,
      "deflection": 0.02083331070688059,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.001172)"
      },
      "parent_node_id": "node_343",
      "improvement_over_parent": null
    },
    "node_345": {
      "node_id": "node_345",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0027)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0032)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0028)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n\nPerformance:\n  Mass: 94.51 kg\n  Factor of Safety: 0.71\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": 94.51066078637338,
      "fos_buckling": 0.7109307577618473,
      "fos_yielding": 1.9202693479764197,
      "deflection": 0.016534169223012884,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_344",
      "improvement_over_parent": null
    },
    "node_346": {
      "node_id": "node_346",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0042)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n\nPerformance:\n  Mass: 124.47 kg\n  Factor of Safety: 0.91\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": 124.47122874852748,
      "fos_buckling": 0.9131077980581284,
      "fos_yielding": 2.5264360022584267,
      "deflection": 0.012597186820129468,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_345",
      "improvement_over_parent": null
    },
    "node_347": {
      "node_id": "node_347",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n\nPerformance:\n  Mass: 157.75 kg\n  Factor of Safety: 1.12\n  Max Deflection: 9.98e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.74800380705062,
      "fos_buckling": 1.1248070236093815,
      "fos_yielding": 3.1982526839774477,
      "deflection": 0.009977366064484646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_346",
      "improvement_over_parent": null
    },
    "node_348": {
      "node_id": "node_348",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n  Mass: 195.84 kg\n  Factor of Safety: 1.35\n  Max Deflection: 8.07e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.8355332309483,
      "fos_buckling": 1.3506935666257844,
      "fos_yielding": 3.965333798319204,
      "deflection": 0.008071507737494887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_347",
      "improvement_over_parent": null
    },
    "node_349": {
      "node_id": "node_349",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7448500728764,
      "fos_buckling": 1.526602973882308,
      "fos_yielding": 4.6064639624459875,
      "deflection": 0.006965544732763024,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_348",
      "improvement_over_parent": null
    },
    "node_350": {
      "node_id": "node_350",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_349",
      "improvement_over_parent": null
    },
    "node_351": {
      "node_id": "node_351",
      "content": "INITIAL DESIGN (Trace 49)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n  Mass: 107.35 kg\n  Factor of Safety: 0.60\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.34965482206265,
      "fos_buckling": 0.6037645769102019,
      "fos_yielding": 2.8861609679180975,
      "deflection": 0.020216459116180432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_352": {
      "node_id": "node_352",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 120.09 kg\n  Factor of Safety: 0.67\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": 120.09437464567023,
      "fos_buckling": 0.6666249993613114,
      "fos_yielding": 3.225021222786595,
      "deflection": 0.018080912003764223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_351",
      "improvement_over_parent": null
    },
    "node_353": {
      "node_id": "node_353",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n\nPerformance:\n  Mass: 134.01 kg\n  Factor of Safety: 0.65\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": 134.0117361880213,
      "fos_buckling": 0.6532720444447989,
      "fos_yielding": 3.205427739480942,
      "deflection": 0.018090143898547073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004189)"
      },
      "parent_node_id": "node_352",
      "improvement_over_parent": null
    },
    "node_354": {
      "node_id": "node_354",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n\nPerformance:\n  Mass: 135.51 kg\n  Factor of Safety: 1.00\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": 135.51421768955646,
      "fos_buckling": 0.9983262994593827,
      "fos_yielding": 2.874098339265754,
      "deflection": 0.011660621010010648,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002304)"
      },
      "parent_node_id": "node_353",
      "improvement_over_parent": null
    },
    "node_355": {
      "node_id": "node_355",
      "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n\nPerformance:\n  Mass: 140.79 kg\n  Factor of Safety: 1.00\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": 140.790125350726,
      "fos_buckling": 0.9990508084242834,
      "fos_yielding": 2.8960579360464176,
      "deflection": 0.01134560547218935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.274)"
      },
      "parent_node_id": "node_354",
      "improvement_over_parent": null
    },
    "node_356": {
      "node_id": "node_356",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0084)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n  Mass: 183.03 kg\n  Factor of Safety: 1.25\n  Max Deflection: 8.76e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.0273286197604,
      "fos_buckling": 1.2520721673524124,
      "fos_yielding": 3.7601743699995716,
      "deflection": 0.008763259478106269,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_355",
      "improvement_over_parent": null
    },
    "node_357": {
      "node_id": "node_357",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0104)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 223.33 kg\n  Factor of Safety: 1.47\n  Max Deflection: 7.21e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.33362271650645,
      "fos_buckling": 1.473940605773936,
      "fos_yielding": 4.582828339033687,
      "deflection": 0.007209451965967886,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_356",
      "improvement_over_parent": null
    },
    "node_358": {
      "node_id": "node_358",
      "content": "MODIFICATION: Increase 1 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0104)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 230.49 kg\n  Factor of Safety: 1.48\n  Max Deflection: 6.87e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.48829695423908,
      "fos_buckling": 1.476263331113095,
      "fos_yielding": 4.643630252011354,
      "deflection": 0.006866168692502219,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.372)"
      },
      "parent_node_id": "node_357",
      "improvement_over_parent": null
    },
    "node_359": {
      "node_id": "node_359",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_358",
      "improvement_over_parent": null
    },
    "node_360": {
      "node_id": "node_360",
      "content": "INITIAL DESIGN (Trace 50)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_361": {
      "node_id": "node_361",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 163.99 kg\n  Factor of Safety: 0.37\n  Max Deflection: 5.61e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.9909516526237,
      "fos_buckling": 0.3658414448768512,
      "fos_yielding": 4.3253299757748245,
      "deflection": 56059784074778.28,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_360",
      "improvement_over_parent": null
    },
    "node_362": {
      "node_id": "node_362",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 196.77 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.7685463955092,
      "fos_buckling": 1.0034300441628086,
      "fos_yielding": 5.146839094320967,
      "deflection": 0.010594532957045323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_361",
      "improvement_over_parent": null
    },
    "node_363": {
      "node_id": "node_363",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 199.15 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.15322870709534,
      "fos_buckling": 1.0046482987962577,
      "fos_yielding": 5.146839094320967,
      "deflection": 0.008708270640444398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_362",
      "improvement_over_parent": null
    },
    "node_364": {
      "node_id": "node_364",
      "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 202.52 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.51869400237504,
      "fos_buckling": 1.0042057871231378,
      "fos_yielding": 5.14532434558702,
      "deflection": 0.008712005302396771,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.202)"
      },
      "parent_node_id": "node_363",
      "improvement_over_parent": null
    },
    "node_365": {
      "node_id": "node_365",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63798897987598,
      "fos_buckling": 1.526035790375175,
      "fos_yielding": 4.604167019764371,
      "deflection": 0.006968871712746982,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_364",
      "improvement_over_parent": null
    },
    "node_366": {
      "node_id": "node_366",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_365",
      "improvement_over_parent": null
    },
    "node_367": {
      "node_id": "node_367",
      "content": "INITIAL DESIGN (Trace 51)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n  Mass: 128.85 kg\n  Factor of Safety: 0.10\n  Max Deflection: 1.36e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.84943686945968,
      "fos_buckling": 0.0969994665385584,
      "fos_yielding": 1.0283114153712842,
      "deflection": 136295163150346.62,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_368": {
      "node_id": "node_368",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n\nPerformance:\n  Mass: 145.52 kg\n  Factor of Safety: 0.40\n  Max Deflection: 4.61e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.51688705938435,
      "fos_buckling": 0.4028947353167916,
      "fos_yielding": 3.2255914388557616,
      "deflection": 0.04614726714624471,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005074)"
      },
      "parent_node_id": "node_367",
      "improvement_over_parent": null
    },
    "node_369": {
      "node_id": "node_369",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n\nPerformance:\n  Mass: 169.96 kg\n  Factor of Safety: 0.79\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": 169.9586999930661,
      "fos_buckling": 0.7904920741431579,
      "fos_yielding": 3.874263635956669,
      "deflection": 0.013997835134230583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005963)"
      },
      "parent_node_id": "node_368",
      "improvement_over_parent": null
    },
    "node_370": {
      "node_id": "node_370",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n\nPerformance:\n  Mass: 195.09 kg\n  Factor of Safety: 0.89\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": 195.08821009533048,
      "fos_buckling": 0.8884539181423818,
      "fos_yielding": 4.442557044472357,
      "deflection": 0.012214446113170432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_369",
      "improvement_over_parent": null
    },
    "node_371": {
      "node_id": "node_371",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 225.28 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.2770365195543,
      "fos_buckling": 0.9997873613348129,
      "fos_yielding": 5.12373170260957,
      "deflection": 0.010598098467147562,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_370",
      "improvement_over_parent": null
    },
    "node_372": {
      "node_id": "node_372",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n  Mass: 227.33 kg\n  Factor of Safety: 1.52\n  Max Deflection: 7.01e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.32578745656124,
      "fos_buckling": 1.5170900236134106,
      "fos_yielding": 4.610416515139735,
      "deflection": 0.007010313822477817,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003209)"
      },
      "parent_node_id": "node_371",
      "improvement_over_parent": null
    },
    "node_373": {
      "node_id": "node_373",
      "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0085)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n  Mass: 231.47 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.94e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 231.46500555253184,
      "fos_buckling": 1.5150308712116491,
      "fos_yielding": 4.610910634827808,
      "deflection": 0.006940444401128472,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.181)"
      },
      "parent_node_id": "node_372",
      "improvement_over_parent": null
    },
    "node_374": {
      "node_id": "node_374",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_373",
      "improvement_over_parent": null
    },
    "node_375": {
      "node_id": "node_375",
      "content": "INITIAL DESIGN (Trace 52)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n  Mass: 98.97 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.32e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 98.96749426192714,
      "fos_buckling": 0.3442449538202925,
      "fos_yielding": 2.1732018011154577,
      "deflection": 0.023226287042211007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_376": {
      "node_id": "node_376",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n\nPerformance:\n  Mass: 115.39 kg\n  Factor of Safety: 0.85\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": 115.38736408822885,
      "fos_buckling": 0.8529697855555123,
      "fos_yielding": 2.3428127467132462,
      "deflection": 0.01357504460967741,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.003918)"
      },
      "parent_node_id": "node_375",
      "improvement_over_parent": null
    },
    "node_377": {
      "node_id": "node_377",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n\nPerformance:\n  Mass: 128.03 kg\n  Factor of Safety: 0.94\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": 128.0348079736604,
      "fos_buckling": 0.9364193078556237,
      "fos_yielding": 2.598488717378373,
      "deflection": 0.012251663231100492,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_376",
      "improvement_over_parent": null
    },
    "node_378": {
      "node_id": "node_378",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n\nPerformance:\n  Mass: 151.72 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.71570471919048,
      "fos_buckling": 1.087424219998925,
      "fos_yielding": 3.0766227698906987,
      "deflection": 0.010367111268752154,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_377",
      "improvement_over_parent": null
    },
    "node_379": {
      "node_id": "node_379",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n\nPerformance:\n  Mass: 198.00 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.99e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.9951318871881,
      "fos_buckling": 1.3629752274070421,
      "fos_yielding": 4.008822640169027,
      "deflection": 0.007985496631121684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_378",
      "improvement_over_parent": null
    },
    "node_380": {
      "node_id": "node_380",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.55292234230097,
      "fos_buckling": 1.5255744792846453,
      "fos_yielding": 4.60267295619015,
      "deflection": 0.006971343336338229,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_379",
      "improvement_over_parent": null
    },
    "node_381": {
      "node_id": "node_381",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_380",
      "improvement_over_parent": null
    },
    "node_382": {
      "node_id": "node_382",
      "content": "INITIAL DESIGN (Trace 53)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\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_383": {
      "node_id": "node_383",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 170.38 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.75e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.3799147466904,
      "fos_buckling": 0.35873374033720146,
      "fos_yielding": 5.1190383372850725,
      "deflection": 27535149887326.105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_382",
      "improvement_over_parent": null
    },
    "node_384": {
      "node_id": "node_384",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 192.47 kg\n  Factor of Safety: 0.50\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": 192.4710628753507,
      "fos_buckling": 0.49822031017249724,
      "fos_yielding": 3.852042209228722,
      "deflection": 0.035404437821625744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_383",
      "improvement_over_parent": null
    },
    "node_385": {
      "node_id": "node_385",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 225.25 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.2486576182362,
      "fos_buckling": 0.9997102570374362,
      "fos_yielding": 5.122975200559008,
      "deflection": 0.01059945232730694,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_384",
      "improvement_over_parent": null
    },
    "node_386": {
      "node_id": "node_386",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63333992982234,
      "fos_buckling": 1.525980137364587,
      "fos_yielding": 4.6042030581550275,
      "deflection": 0.006968962549976942,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_385",
      "improvement_over_parent": null
    },
    "node_387": {
      "node_id": "node_387",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_386",
      "improvement_over_parent": null
    },
    "node_388": {
      "node_id": "node_388",
      "content": "INITIAL DESIGN (Trace 54)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 197.05 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.91e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.0472617129284,
      "fos_buckling": 0.9814655902065823,
      "fos_yielding": 4.6149383034356966,
      "deflection": 0.008911028998805913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_389": {
      "node_id": "node_389",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n  Mass: 218.96 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.20e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.96280096672493,
      "fos_buckling": 1.3948236971649342,
      "fos_yielding": 4.326968222902116,
      "deflection": 0.007201270775616972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006070)"
      },
      "parent_node_id": "node_388",
      "improvement_over_parent": null
    },
    "node_390": {
      "node_id": "node_390",
      "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n  Mass: 219.84 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.14e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.8418192023337,
      "fos_buckling": 1.4882407418607193,
      "fos_yielding": 4.630192319478253,
      "deflection": 0.007137680008465831,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.276)"
      },
      "parent_node_id": "node_389",
      "improvement_over_parent": null
    },
    "node_391": {
      "node_id": "node_391",
      "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0070)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n  Mass: 223.39 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.391709819312,
      "fos_buckling": 1.491495404642035,
      "fos_yielding": 4.606845845830622,
      "deflection": 0.007059697537351758,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.185)"
      },
      "parent_node_id": "node_390",
      "improvement_over_parent": null
    },
    "node_392": {
      "node_id": "node_392",
      "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0070)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0099)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n  Mass: 229.63 kg\n  Factor of Safety: 1.49\n  Max Deflection: 6.88e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.63189492849702,
      "fos_buckling": 1.4922568424120437,
      "fos_yielding": 4.638727212842807,
      "deflection": 0.006880281124684638,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.214)"
      },
      "parent_node_id": "node_391",
      "improvement_over_parent": null
    },
    "node_393": {
      "node_id": "node_393",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_392",
      "improvement_over_parent": null
    },
    "node_394": {
      "node_id": "node_394",
      "content": "INITIAL DESIGN (Trace 55)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 170.08 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.0778092788735,
      "fos_buckling": 0.9037940058819592,
      "fos_yielding": 3.039970736998431,
      "deflection": 0.01315169252425876,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_395": {
      "node_id": "node_395",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n  Mass: 193.17 kg\n  Factor of Safety: 0.87\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": 193.17248834540473,
      "fos_buckling": 0.8727405837133594,
      "fos_yielding": 3.1163862725737874,
      "deflection": 0.013037376119925075,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006425)"
      },
      "parent_node_id": "node_394",
      "improvement_over_parent": null
    },
    "node_396": {
      "node_id": "node_396",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n  Mass: 195.32 kg\n  Factor of Safety: 1.06\n  Max Deflection: 8.37e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.32226057517008,
      "fos_buckling": 1.0637057585741347,
      "fos_yielding": 2.76991863797344,
      "deflection": 0.008369918124812942,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003381)"
      },
      "parent_node_id": "node_395",
      "improvement_over_parent": null
    },
    "node_397": {
      "node_id": "node_397",
      "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0113)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n  Mass: 209.58 kg\n  Factor of Safety: 1.06\n  Max Deflection: 8.04e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.5770534038964,
      "fos_buckling": 1.0629879673731835,
      "fos_yielding": 2.768049490223076,
      "deflection": 0.008035859033256775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.558)"
      },
      "parent_node_id": "node_396",
      "improvement_over_parent": null
    },
    "node_398": {
      "node_id": "node_398",
      "content": "MODIFICATION: Increase 0 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0113)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n  Mass: 217.92 kg\n  Factor of Safety: 1.06\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.92388123620353,
      "fos_buckling": 1.0620354381278976,
      "fos_yielding": 2.7655690782402833,
      "deflection": 0.0074737578413354745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.538)"
      },
      "parent_node_id": "node_397",
      "improvement_over_parent": null
    },
    "node_399": {
      "node_id": "node_399",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0126)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 241.44 kg\n  Factor of Safety: 1.17\n  Max Deflection: 6.76e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.43633975184187,
      "fos_buckling": 1.167928572977133,
      "fos_yielding": 3.0761647643842225,
      "deflection": 0.006759211518562428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_398",
      "improvement_over_parent": null
    },
    "node_400": {
      "node_id": "node_400",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_399",
      "improvement_over_parent": null
    },
    "node_401": {
      "node_id": "node_401",
      "content": "INITIAL DESIGN (Trace 56)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 136.62 kg\n  Factor of Safety: 0.35\n  Max Deflection: 3.43e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.6169167695362,
      "fos_buckling": 0.3463806262151125,
      "fos_yielding": 2.5922500657076797,
      "deflection": 34317852882012.402,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_402": {
      "node_id": "node_402",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 170.34 kg\n  Factor of Safety: 0.36\n  Max Deflection: 3.16e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.33927016080284,
      "fos_buckling": 0.3587489496934717,
      "fos_yielding": 3.4977293691429896,
      "deflection": 31597641913974.21,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_401",
      "improvement_over_parent": null
    },
    "node_403": {
      "node_id": "node_403",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 192.43 kg\n  Factor of Safety: 0.50\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": 192.43041828946315,
      "fos_buckling": 0.4981251322790058,
      "fos_yielding": 3.8511444621626136,
      "deflection": 0.03541204051399349,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_402",
      "improvement_over_parent": null
    },
    "node_404": {
      "node_id": "node_404",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 194.82 kg\n  Factor of Safety: 0.59\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": 194.8151006010493,
      "fos_buckling": 0.5922809011642961,
      "fos_yielding": 3.850543306964628,
      "deflection": 0.012095123148532057,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_403",
      "improvement_over_parent": null
    },
    "node_405": {
      "node_id": "node_405",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5926953439348,
      "fos_buckling": 1.525921496499738,
      "fos_yielding": 4.603166663732693,
      "deflection": 0.006970149064958434,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_404",
      "improvement_over_parent": null
    },
    "node_406": {
      "node_id": "node_406",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_405",
      "improvement_over_parent": null
    },
    "node_407": {
      "node_id": "node_407",
      "content": "INITIAL DESIGN (Trace 57)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 133.47 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.46958205621343,
      "fos_buckling": 0.6937613711990076,
      "fos_yielding": 3.0386791000057083,
      "deflection": 0.013235267275437538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_408": {
      "node_id": "node_408",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 170.58 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.57914858551254,
      "fos_buckling": 0.8549323407321509,
      "fos_yielding": 3.8783120454217688,
      "deflection": 0.010402654817064193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_407",
      "improvement_over_parent": null
    },
    "node_409": {
      "node_id": "node_409",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 201.95 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.95195884124925,
      "fos_buckling": 0.9806963875237005,
      "fos_yielding": 4.586382890936183,
      "deflection": 0.008819990055135939,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_408",
      "improvement_over_parent": null
    },
    "node_410": {
      "node_id": "node_410",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.57 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.56848775054385,
      "fos_buckling": 1.5255967778012594,
      "fos_yielding": 4.602772068204295,
      "deflection": 0.006970962736695515,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_409",
      "improvement_over_parent": null
    },
    "node_411": {
      "node_id": "node_411",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_410",
      "improvement_over_parent": null
    },
    "node_412": {
      "node_id": "node_412",
      "content": "INITIAL DESIGN (Trace 58)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n\nPerformance:\n  Mass: 88.97 kg\n  Factor of Safety: 0.01\n  Max Deflection: 4.20e+15 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 88.96828517347328,
      "fos_buckling": 0.005645375419646726,
      "fos_yielding": 0.07674565079471085,
      "deflection": 4200445745264131.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_413": {
      "node_id": "node_413",
      "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n\nPerformance:\n  Mass: 89.51 kg\n  Factor of Safety: 0.78\n  Max Deflection: 2.62e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 89.51368645484044,
      "fos_buckling": 0.7776302670003686,
      "fos_yielding": 3.3562610416879535,
      "deflection": 26199637867016.78,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.572)"
      },
      "parent_node_id": "node_412",
      "improvement_over_parent": null
    },
    "node_414": {
      "node_id": "node_414",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 110.88 kg\n  Factor of Safety: 0.43\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": 110.87704410221677,
      "fos_buckling": 0.4313746127190409,
      "fos_yielding": 2.791169576049362,
      "deflection": 0.020429906135225297,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005133)"
      },
      "parent_node_id": "node_413",
      "improvement_over_parent": null
    },
    "node_415": {
      "node_id": "node_415",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n\nPerformance:\n  Mass: 131.99 kg\n  Factor of Safety: 0.70\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": 131.99115723995035,
      "fos_buckling": 0.7018638876410109,
      "fos_yielding": 3.3562610416879535,
      "deflection": 0.01325247146525589,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005103)"
      },
      "parent_node_id": "node_414",
      "improvement_over_parent": null
    },
    "node_416": {
      "node_id": "node_416",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n\nPerformance:\n  Mass: 171.86 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.85570506203638,
      "fos_buckling": 0.8788542905657615,
      "fos_yielding": 4.36792570808421,
      "deflection": 0.010227993966729153,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_415",
      "improvement_over_parent": null
    },
    "node_417": {
      "node_id": "node_417",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 202.37 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.36810757997682,
      "fos_buckling": 1.0036363376036945,
      "fos_yielding": 5.141627919313745,
      "deflection": 0.008718113140619417,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_416",
      "improvement_over_parent": null
    },
    "node_418": {
      "node_id": "node_418",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.48740255747776,
      "fos_buckling": 1.5252647958114627,
      "fos_yielding": 4.600811369718964,
      "deflection": 0.006973574234145275,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_417",
      "improvement_over_parent": null
    },
    "node_419": {
      "node_id": "node_419",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_418",
      "improvement_over_parent": null
    },
    "node_420": {
      "node_id": "node_420",
      "content": "INITIAL DESIGN (Trace 59)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_421": {
      "node_id": "node_421",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 96.07 kg\n  Factor of Safety: 1.06\n  Max Deflection: 3.02e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 96.06645784553405,
      "fos_buckling": 1.0572351376481208,
      "fos_yielding": 2.778350358153616,
      "deflection": 30175078442201.906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005112)"
      },
      "parent_node_id": "node_420",
      "improvement_over_parent": null
    },
    "node_422": {
      "node_id": "node_422",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 115.25 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.46e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.24634983778414,
      "fos_buckling": 0.6449618743461882,
      "fos_yielding": 3.1751995684327086,
      "deflection": 14642037289068.098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_421",
      "improvement_over_parent": null
    },
    "node_423": {
      "node_id": "node_423",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 148.00 kg\n  Factor of Safety: 0.85\n  Max Deflection: 2.76e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.00249936273786,
      "fos_buckling": 0.8541722433207795,
      "fos_yielding": 5.474785326924677,
      "deflection": 27568883521397.37,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_422",
      "improvement_over_parent": null
    },
    "node_424": {
      "node_id": "node_424",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 169.66 kg\n  Factor of Safety: 0.31\n  Max Deflection: 1.95e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.6617956395853,
      "fos_buckling": 0.3101004266056694,
      "fos_yielding": 1.8274376702109527,
      "deflection": 19534968428811.324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_423",
      "improvement_over_parent": null
    },
    "node_425": {
      "node_id": "node_425",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 195.28 kg\n  Factor of Safety: 0.62\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": 195.2783245488799,
      "fos_buckling": 0.6162127283497132,
      "fos_yielding": 4.262643165411977,
      "deflection": 0.011899097599654225,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_424",
      "improvement_over_parent": null
    },
    "node_426": {
      "node_id": "node_426",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6719441889982,
      "fos_buckling": 1.5262287414610727,
      "fos_yielding": 4.605576344267162,
      "deflection": 0.0069676703972143825,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_425",
      "improvement_over_parent": null
    },
    "node_427": {
      "node_id": "node_427",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 60)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n  Mass: 181.09 kg\n  Factor of Safety: 1.14\n  Max Deflection: 8.97e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.08710966173732,
      "fos_buckling": 1.1443077733158313,
      "fos_yielding": 3.9137251174397334,
      "deflection": 0.008969397265439468,
      "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 10 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 186.12 kg\n  Factor of Safety: 1.23\n  Max Deflection: 8.69e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.11838396272975,
      "fos_buckling": 1.2268721008981909,
      "fos_yielding": 3.949410172031561,
      "deflection": 0.008692471478664235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.284)"
      },
      "parent_node_id": "node_428",
      "improvement_over_parent": null
    },
    "node_430": {
      "node_id": "node_430",
      "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 195.41 kg\n  Factor of Safety: 1.22\n  Max Deflection: 8.14e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.40874290045642,
      "fos_buckling": 1.223901980700673,
      "fos_yielding": 4.022638485610517,
      "deflection": 0.008137348172872103,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.645)"
      },
      "parent_node_id": "node_429",
      "improvement_over_parent": null
    },
    "node_431": {
      "node_id": "node_431",
      "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 200.35 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.89e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.35381506236277,
      "fos_buckling": 1.3767030259567692,
      "fos_yielding": 4.055847082652047,
      "deflection": 0.007893451657481034,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.224)"
      },
      "parent_node_id": "node_430",
      "improvement_over_parent": null
    },
    "node_432": {
      "node_id": "node_432",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5257420761659,
      "fos_buckling": 1.5258149542343749,
      "fos_yielding": 4.601671674450769,
      "deflection": 0.006972041760366581,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_431",
      "improvement_over_parent": null
    },
    "node_433": {
      "node_id": "node_433",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_432",
      "improvement_over_parent": null
    },
    "node_434": {
      "node_id": "node_434",
      "content": "INITIAL DESIGN (Trace 61)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 121.10 kg\n  Factor of Safety: 0.72\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": 121.0971617037392,
      "fos_buckling": 0.7170985902518731,
      "fos_yielding": 3.5248907225859187,
      "deflection": 0.015514390734321943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_435": {
      "node_id": "node_435",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n\nPerformance:\n  Mass: 132.31 kg\n  Factor of Safety: 0.73\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": 132.31384821691836,
      "fos_buckling": 0.733063847620371,
      "fos_yielding": 3.5248907225859187,
      "deflection": 0.013007428674587821,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.002992)"
      },
      "parent_node_id": "node_434",
      "improvement_over_parent": null
    },
    "node_436": {
      "node_id": "node_436",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n\nPerformance:\n  Mass: 152.58 kg\n  Factor of Safety: 0.83\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": 152.5817791056187,
      "fos_buckling": 0.8278664122979477,
      "fos_yielding": 4.062548000019568,
      "deflection": 0.011308275991714668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_435",
      "improvement_over_parent": null
    },
    "node_437": {
      "node_id": "node_437",
      "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0101)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n\nPerformance:\n  Mass: 166.33 kg\n  Factor of Safety: 1.17\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.3257231650718,
      "fos_buckling": 1.1732686274727326,
      "fos_yielding": 4.062548000019568,
      "deflection": 0.010108763213253791,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.597)"
      },
      "parent_node_id": "node_436",
      "improvement_over_parent": null
    },
    "node_438": {
      "node_id": "node_438",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0101)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 186.15 kg\n  Factor of Safety: 1.17\n  Max Deflection: 8.58e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.14567605031823,
      "fos_buckling": 1.1727537325035917,
      "fos_yielding": 3.6952917245985017,
      "deflection": 0.008583566581647583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005509)"
      },
      "parent_node_id": "node_437",
      "improvement_over_parent": null
    },
    "node_439": {
      "node_id": "node_439",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0130)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 235.44 kg\n  Factor of Safety: 1.43\n  Max Deflection: 6.82e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.43704693987175,
      "fos_buckling": 1.4258845430959268,
      "fos_yielding": 4.675404632335217,
      "deflection": 0.0068155482889636285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_438",
      "improvement_over_parent": null
    },
    "node_440": {
      "node_id": "node_440",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_439",
      "improvement_over_parent": null
    },
    "node_441": {
      "node_id": "node_441",
      "content": "INITIAL DESIGN (Trace 62)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_442": {
      "node_id": "node_442",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 191.49 kg\n  Factor of Safety: 0.77\n  Max Deflection: 9.75e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.49054964346942,
      "fos_buckling": 0.769296351253553,
      "fos_yielding": 3.4431242516077813,
      "deflection": 0.00975124459293137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_441",
      "improvement_over_parent": null
    },
    "node_443": {
      "node_id": "node_443",
      "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0125)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 206.61 kg\n  Factor of Safety: 0.77\n  Max Deflection: 9.41e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.61321577948632,
      "fos_buckling": 0.7677747940855824,
      "fos_yielding": 3.4431242516077813,
      "deflection": 0.009412527257359204,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.543)"
      },
      "parent_node_id": "node_442",
      "improvement_over_parent": null
    },
    "node_444": {
      "node_id": "node_444",
      "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0125)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0096)]\n\nPerformance:\n  Mass: 214.28 kg\n  Factor of Safety: 0.77\n  Max Deflection: 9.42e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.28295855345442,
      "fos_buckling": 0.7670054059919359,
      "fos_yielding": 3.4408161198810867,
      "deflection": 0.00942176281198514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.406)"
      },
      "parent_node_id": "node_443",
      "improvement_over_parent": null
    },
    "node_445": {
      "node_id": "node_445",
      "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0125)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0096)]\n\nPerformance:\n  Mass: 215.17 kg\n  Factor of Safety: 0.77\n  Max Deflection: 9.42e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.17161302831556,
      "fos_buckling": 0.7670054059919359,
      "fos_yielding": 4.349139380930573,
      "deflection": 0.00942176281198514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.285)"
      },
      "parent_node_id": "node_444",
      "improvement_over_parent": null
    },
    "node_446": {
      "node_id": "node_446",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0125)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0096)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 240.29 kg\n  Factor of Safety: 1.28\n  Max Deflection: 6.97e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 240.2909080058165,
      "fos_buckling": 1.280526467979843,
      "fos_yielding": 3.8237026311544837,
      "deflection": 0.006965682538110485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_445",
      "improvement_over_parent": null
    },
    "node_447": {
      "node_id": "node_447",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 63)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 168.27 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.2735021734457,
      "fos_buckling": 0.8870740771689288,
      "fos_yielding": 4.412352604568519,
      "deflection": 0.010452590034278827,
      "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 7 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 176.62 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.6154456516284,
      "fos_buckling": 0.886102425758619,
      "fos_yielding": 4.412352604568519,
      "deflection": 0.01012698017484522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.661)"
      },
      "parent_node_id": "node_448",
      "improvement_over_parent": null
    },
    "node_450": {
      "node_id": "node_450",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.88 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.87912509158497,
      "fos_buckling": 1.0033968775892097,
      "fos_yielding": 5.141515677612771,
      "deflection": 0.008718300338515858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_449",
      "improvement_over_parent": null
    },
    "node_451": {
      "node_id": "node_451",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5384213684324,
      "fos_buckling": 1.5255231684713564,
      "fos_yielding": 4.602140549650493,
      "deflection": 0.006971843614855138,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_450",
      "improvement_over_parent": null
    },
    "node_452": {
      "node_id": "node_452",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_451",
      "improvement_over_parent": null
    },
    "node_453": {
      "node_id": "node_453",
      "content": "INITIAL DESIGN (Trace 64)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n  Mass: 155.13 kg\n  Factor of Safety: 0.54\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": 155.12531564046165,
      "fos_buckling": 0.54448630251108,
      "fos_yielding": 3.4638405863821964,
      "deflection": 0.015223035189495472,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_454": {
      "node_id": "node_454",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n  Mass: 174.96 kg\n  Factor of Safety: 0.54\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": 174.96058273584654,
      "fos_buckling": 0.5430678365366179,
      "fos_yielding": 3.4615896951409186,
      "deflection": 0.013437956573489479,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006121)"
      },
      "parent_node_id": "node_453",
      "improvement_over_parent": null
    },
    "node_455": {
      "node_id": "node_455",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 204.39 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.74e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.392191577908,
      "fos_buckling": 1.3990448259056405,
      "fos_yielding": 4.137380595011451,
      "deflection": 0.007741135759486336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007236)"
      },
      "parent_node_id": "node_454",
      "improvement_over_parent": null
    },
    "node_456": {
      "node_id": "node_456",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.64167839706226,
      "fos_buckling": 1.5260454344203418,
      "fos_yielding": 4.604380437600731,
      "deflection": 0.006968693944526824,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_455",
      "improvement_over_parent": null
    },
    "node_457": {
      "node_id": "node_457",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_456",
      "improvement_over_parent": null
    },
    "node_458": {
      "node_id": "node_458",
      "content": "INITIAL DESIGN (Trace 65)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0024)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n\nPerformance:\n  Mass: 79.32 kg\n  Factor of Safety: 0.32\n  Max Deflection: 3.04e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 79.31545722395686,
      "fos_buckling": 0.31794936031242954,
      "fos_yielding": 1.873534351701569,
      "deflection": 0.03042366255839964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_459": {
      "node_id": "node_459",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0024)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n  Mass: 95.17 kg\n  Factor of Safety: 0.53\n  Max Deflection: 2.04e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 95.17227864736734,
      "fos_buckling": 0.5258762822161465,
      "fos_yielding": 2.228117473624724,
      "deflection": 0.02041270852694197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.003754)"
      },
      "parent_node_id": "node_458",
      "improvement_over_parent": null
    },
    "node_460": {
      "node_id": "node_460",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 118.26 kg\n  Factor of Safety: 0.64\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": 118.26320802191181,
      "fos_buckling": 0.6387318791374239,
      "fos_yielding": 2.7654109351878646,
      "deflection": 0.01645779404667632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_459",
      "improvement_over_parent": null
    },
    "node_461": {
      "node_id": "node_461",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n\nPerformance:\n  Mass: 131.54 kg\n  Factor of Safety: 0.97\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": 131.53724119513484,
      "fos_buckling": 0.9696978322650407,
      "fos_yielding": 2.777572758126902,
      "deflection": 0.012153719457370838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003985)"
      },
      "parent_node_id": "node_460",
      "improvement_over_parent": null
    },
    "node_462": {
      "node_id": "node_462",
      "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n\nPerformance:\n  Mass: 136.80 kg\n  Factor of Safety: 0.99\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": 136.80210515255715,
      "fos_buckling": 0.9930805866738537,
      "fos_yielding": 2.7756493131919417,
      "deflection": 0.011477855537987544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.481)"
      },
      "parent_node_id": "node_461",
      "improvement_over_parent": null
    },
    "node_463": {
      "node_id": "node_463",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n\nPerformance:\n  Mass: 177.15 kg\n  Factor of Safety: 1.24\n  Max Deflection: 8.90e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.14842026948787,
      "fos_buckling": 1.2419902683458948,
      "fos_yielding": 3.5893395306450877,
      "deflection": 0.00890425613202179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_462",
      "improvement_over_parent": null
    },
    "node_464": {
      "node_id": "node_464",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.50371643761122,
      "fos_buckling": 1.5252592501187756,
      "fos_yielding": 4.60176904742441,
      "deflection": 0.006972792644443413,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_463",
      "improvement_over_parent": null
    },
    "node_465": {
      "node_id": "node_465",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_464",
      "improvement_over_parent": null
    },
    "node_466": {
      "node_id": "node_466",
      "content": "INITIAL DESIGN (Trace 66)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 193.82 kg\n  Factor of Safety: 1.19\n  Max Deflection: 8.38e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.81806943974425,
      "fos_buckling": 1.1922565334714719,
      "fos_yielding": 4.309287684776511,
      "deflection": 0.008375021282570946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_467": {
      "node_id": "node_467",
      "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 200.93 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.17e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.93044236117197,
      "fos_buckling": 1.2601323295702362,
      "fos_yielding": 4.310796007060599,
      "deflection": 0.008165792513645232,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.433)"
      },
      "parent_node_id": "node_466",
      "improvement_over_parent": null
    },
    "node_468": {
      "node_id": "node_468",
      "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 208.02 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.95e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.01965640798173,
      "fos_buckling": 1.2562239617005584,
      "fos_yielding": 4.2481269866345395,
      "deflection": 0.007946151888554229,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.420)"
      },
      "parent_node_id": "node_467",
      "improvement_over_parent": null
    },
    "node_469": {
      "node_id": "node_469",
      "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 216.63 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.62964325870948,
      "fos_buckling": 1.366193577260757,
      "fos_yielding": 4.244085199470517,
      "deflection": 0.007577832492590425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.391)"
      },
      "parent_node_id": "node_468",
      "improvement_over_parent": null
    },
    "node_470": {
      "node_id": "node_470",
      "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 217.47 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.50e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.46926191647682,
      "fos_buckling": 1.4462401608314133,
      "fos_yielding": 4.616009895257047,
      "deflection": 0.007504747871501512,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.261)"
      },
      "parent_node_id": "node_469",
      "improvement_over_parent": null
    },
    "node_471": {
      "node_id": "node_471",
      "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 217.89 kg\n  Factor of Safety: 1.46\n  Max Deflection: 7.44e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.89111047898132,
      "fos_buckling": 1.4574768203517956,
      "fos_yielding": 4.608090073944771,
      "deflection": 0.00744038675174841,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.236)"
      },
      "parent_node_id": "node_470",
      "improvement_over_parent": null
    },
    "node_472": {
      "node_id": "node_472",
      "content": "MODIFICATION: Increase 0 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.62886730550352,
      "fos_buckling": 1.5259740623686109,
      "fos_yielding": 4.604075728198691,
      "deflection": 0.006969204654738057,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.587)"
      },
      "parent_node_id": "node_471",
      "improvement_over_parent": null
    },
    "node_473": {
      "node_id": "node_473",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_472",
      "improvement_over_parent": null
    },
    "node_474": {
      "node_id": "node_474",
      "content": "INITIAL DESIGN (Trace 67)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n  Mass: 129.70 kg\n  Factor of Safety: 1.33\n  Max Deflection: 1.48e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.70128824414286,
      "fos_buckling": 1.3334335045752777,
      "fos_yielding": 3.948859651656519,
      "deflection": 14771067363505.775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_475": {
      "node_id": "node_475",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 154.84 kg\n  Factor of Safety: 0.81\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": 154.8432057824248,
      "fos_buckling": 0.8074434322785394,
      "fos_yielding": 3.5013920697389564,
      "deflection": 0.011355346341077066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006105)"
      },
      "parent_node_id": "node_474",
      "improvement_over_parent": null
    },
    "node_476": {
      "node_id": "node_476",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n  Mass: 174.11 kg\n  Factor of Safety: 1.16\n  Max Deflection: 9.09e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.10918626348968,
      "fos_buckling": 1.1627568144103746,
      "fos_yielding": 3.5177638874530426,
      "deflection": 0.009091410154703381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005344)"
      },
      "parent_node_id": "node_475",
      "improvement_over_parent": null
    },
    "node_477": {
      "node_id": "node_477",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 226.95 kg\n  Factor of Safety: 1.47\n  Max Deflection: 7.02e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.9491526958439,
      "fos_buckling": 1.4655048459022382,
      "fos_yielding": 4.590785892830446,
      "deflection": 0.00701547996188079,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.333)"
      },
      "parent_node_id": "node_476",
      "improvement_over_parent": null
    },
    "node_478": {
      "node_id": "node_478",
      "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.579180796956,
      "fos_buckling": 1.5257026510931395,
      "fos_yielding": 4.603181608840712,
      "deflection": 0.006970558483306276,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.185)"
      },
      "parent_node_id": "node_477",
      "improvement_over_parent": null
    },
    "node_479": {
      "node_id": "node_479",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 68)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n\nPerformance:\n  Mass: 110.22 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.12e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.21717874077655,
      "fos_buckling": 0.3652306691014405,
      "fos_yielding": 2.187593710232011,
      "deflection": 0.02117832539241447,
      "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 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n  Mass: 128.76 kg\n  Factor of Safety: 0.94\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": 128.75878022316593,
      "fos_buckling": 0.9411677931944912,
      "fos_yielding": 2.6130707383312823,
      "deflection": 0.012183750609692094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004421)"
      },
      "parent_node_id": "node_480",
      "improvement_over_parent": null
    },
    "node_482": {
      "node_id": "node_482",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 156.53 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.52676103284236,
      "fos_buckling": 1.1173051549948034,
      "fos_yielding": 3.1736113305576175,
      "deflection": 0.010053913303624758,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_481",
      "improvement_over_parent": null
    },
    "node_483": {
      "node_id": "node_483",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 195.49 kg\n  Factor of Safety: 1.35\n  Max Deflection: 8.09e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.48545202133369,
      "fos_buckling": 1.348728493904896,
      "fos_yielding": 3.9582768052713915,
      "deflection": 0.008085714814313071,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_482",
      "improvement_over_parent": null
    },
    "node_484": {
      "node_id": "node_484",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.69483987100332,
      "fos_buckling": 1.5263689773080538,
      "fos_yielding": 4.605442897238796,
      "deflection": 0.006967095237504568,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_483",
      "improvement_over_parent": null
    },
    "node_485": {
      "node_id": "node_485",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_484",
      "improvement_over_parent": null
    },
    "node_486": {
      "node_id": "node_486",
      "content": "INITIAL DESIGN (Trace 69)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_487": {
      "node_id": "node_487",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n  Mass: 92.03 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.99e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 92.03004187077273,
      "fos_buckling": 0.905761879790544,
      "fos_yielding": 2.34110451793649,
      "deflection": 19915423434088.69,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.003762)"
      },
      "parent_node_id": "node_486",
      "improvement_over_parent": null
    },
    "node_488": {
      "node_id": "node_488",
      "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n  Mass: 95.36 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.99e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 95.3568652534433,
      "fos_buckling": 0.978109275481238,
      "fos_yielding": 2.5280993768408964,
      "deflection": 19924218295088.664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.285)"
      },
      "parent_node_id": "node_487",
      "improvement_over_parent": null
    },
    "node_489": {
      "node_id": "node_489",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 112.30 kg\n  Factor of Safety: 1.19\n  Max Deflection: 1.75e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 112.30389110169088,
      "fos_buckling": 1.1893668302447689,
      "fos_yielding": 3.1251432337257916,
      "deflection": 17525306079586.053,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_488",
      "improvement_over_parent": null
    },
    "node_490": {
      "node_id": "node_490",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n  Mass: 140.61 kg\n  Factor of Safety: 0.08\n  Max Deflection: 7.20e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.60506200688138,
      "fos_buckling": 0.08015958584305875,
      "fos_yielding": 0.45685941755273807,
      "deflection": 71972308851880.52,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_489",
      "improvement_over_parent": null
    },
    "node_491": {
      "node_id": "node_491",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 173.26 kg\n  Factor of Safety: 0.56\n  Max Deflection: 8.59e+13 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.2575955900911,
      "fos_buckling": 0.5646793989676565,
      "fos_yielding": 1.8150903838137136,
      "deflection": 85941758001245.77,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_490",
      "improvement_over_parent": null
    },
    "node_492": {
      "node_id": "node_492",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 206.04 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.0351903329766,
      "fos_buckling": 1.003744180830513,
      "fos_yielding": 5.145774375726493,
      "deflection": 0.008712655499829669,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_491",
      "improvement_over_parent": null
    },
    "node_493": {
      "node_id": "node_493",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.69448660982403,
      "fos_buckling": 1.526064110521835,
      "fos_yielding": 4.605936651232387,
      "deflection": 0.006967091711759045,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_492",
      "improvement_over_parent": null
    },
    "node_494": {
      "node_id": "node_494",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_493",
      "improvement_over_parent": null
    },
    "node_495": {
      "node_id": "node_495",
      "content": "INITIAL DESIGN (Trace 70)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 94.69 kg\n  Factor of Safety: 0.08\n  Max Deflection: 4.79e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 94.68929561608424,
      "fos_buckling": 0.07782124416267847,
      "fos_yielding": 0.7996038157109246,
      "deflection": 478898120464633.56,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_496": {
      "node_id": "node_496",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n\nPerformance:\n  Mass: 116.43 kg\n  Factor of Safety: 0.71\n  Max Deflection: 4.03e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.42755259237978,
      "fos_buckling": 0.7100158657702884,
      "fos_yielding": 3.4553795781319567,
      "deflection": 4034792931686.2983,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005263)"
      },
      "parent_node_id": "node_495",
      "improvement_over_parent": null
    },
    "node_497": {
      "node_id": "node_497",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n\nPerformance:\n  Mass: 134.60 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.36e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.60141412513767,
      "fos_buckling": 0.8050760919268515,
      "fos_yielding": 3.992863861428484,
      "deflection": 1356081087276.4814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_496",
      "improvement_over_parent": null
    },
    "node_498": {
      "node_id": "node_498",
      "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0076)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n\nPerformance:\n  Mass: 139.94 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.36e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.94003617642667,
      "fos_buckling": 0.8045043907209299,
      "fos_yielding": 3.992863861428484,
      "deflection": 1356081087276.4814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.229)"
      },
      "parent_node_id": "node_497",
      "improvement_over_parent": null
    },
    "node_499": {
      "node_id": "node_499",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0076)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n\nPerformance:\n  Mass: 157.08 kg\n  Factor of Safety: 0.81\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": 157.07925565819042,
      "fos_buckling": 0.8091130886453562,
      "fos_yielding": 3.992863861428484,
      "deflection": 0.013011591364500308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005228)"
      },
      "parent_node_id": "node_498",
      "improvement_over_parent": null
    },
    "node_500": {
      "node_id": "node_500",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0076)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 176.57 kg\n  Factor of Safety: 0.82\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": 176.56711895006333,
      "fos_buckling": 0.8243935705773806,
      "fos_yielding": 4.006903023789301,
      "deflection": 0.012998814296555142,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005410)"
      },
      "parent_node_id": "node_499",
      "improvement_over_parent": null
    },
    "node_501": {
      "node_id": "node_501",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0100)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.59306904282747,
      "fos_buckling": 1.0177201258788096,
      "fos_yielding": 5.156365284621677,
      "deflection": 0.010126569669587334,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_500",
      "improvement_over_parent": null
    },
    "node_502": {
      "node_id": "node_502",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0100)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 229.98 kg\n  Factor of Safety: 1.48\n  Max Deflection: 6.88e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.9777513544136,
      "fos_buckling": 1.4845638916046353,
      "fos_yielding": 4.638763088862226,
      "deflection": 0.006876265916474661,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_501",
      "improvement_over_parent": null
    },
    "node_503": {
      "node_id": "node_503",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_502",
      "improvement_over_parent": null
    },
    "node_504": {
      "node_id": "node_504",
      "content": "INITIAL DESIGN (Trace 71)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 94.37 kg\n  Factor of Safety: 0.65\n  Max Deflection: 1.42e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 94.36548167017065,
      "fos_buckling": 0.6544887603000415,
      "fos_yielding": 3.462825329911392,
      "deflection": 14200067770523.781,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_505": {
      "node_id": "node_505",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n\nPerformance:\n  Mass: 116.84 kg\n  Factor of Safety: 0.73\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": 116.83804213660275,
      "fos_buckling": 0.7259716725085882,
      "fos_yielding": 3.5738441024119885,
      "deflection": 0.015304292002619135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005452)"
      },
      "parent_node_id": "node_504",
      "improvement_over_parent": null
    },
    "node_506": {
      "node_id": "node_506",
      "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0079)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n\nPerformance:\n  Mass: 126.17 kg\n  Factor of Safety: 0.73\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": 126.16757942832453,
      "fos_buckling": 0.7250765477835877,
      "fos_yielding": 3.5738441024119885,
      "deflection": 0.014165979955514855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.449)"
      },
      "parent_node_id": "node_505",
      "improvement_over_parent": null
    },
    "node_507": {
      "node_id": "node_507",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0103)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n  Mass: 159.70 kg\n  Factor of Safety: 0.89\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": 159.7024003845521,
      "fos_buckling": 0.8862612007895264,
      "fos_yielding": 4.529346376450008,
      "deflection": 0.011244919817660168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_506",
      "improvement_over_parent": null
    },
    "node_508": {
      "node_id": "node_508",
      "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0139)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n  Mass: 171.67 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.67301008170577,
      "fos_buckling": 0.8848672350458661,
      "fos_yielding": 4.529346376450008,
      "deflection": 0.010745765142353337,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.353)"
      },
      "parent_node_id": "node_507",
      "improvement_over_parent": null
    },
    "node_509": {
      "node_id": "node_509",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0160)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 194.55 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.50e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.55248038939487,
      "fos_buckling": 0.9821611748448501,
      "fos_yielding": 5.150775227483243,
      "deflection": 0.009497730042397215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_508",
      "improvement_over_parent": null
    },
    "node_510": {
      "node_id": "node_510",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0160)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 220.17 kg\n  Factor of Safety: 1.54\n  Max Deflection: 7.50e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 220.16900929868947,
      "fos_buckling": 1.537808707938575,
      "fos_yielding": 5.150775227483244,
      "deflection": 0.007496675932838134,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_509",
      "improvement_over_parent": null
    },
    "node_511": {
      "node_id": "node_511",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0160)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 241.83 kg\n  Factor of Safety: 1.54\n  Max Deflection: 6.67e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 241.8283055755369,
      "fos_buckling": 1.5367074189036003,
      "fos_yielding": 4.792622633617747,
      "deflection": 0.006668550237075888,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_510",
      "improvement_over_parent": null
    },
    "node_512": {
      "node_id": "node_512",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_511",
      "improvement_over_parent": null
    },
    "node_513": {
      "node_id": "node_513",
      "content": "INITIAL DESIGN (Trace 72)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 163.35 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.35192126764605,
      "fos_buckling": 0.8966833051952549,
      "fos_yielding": 4.590243202760026,
      "deflection": 0.01199746298124353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_514": {
      "node_id": "node_514",
      "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 164.04 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.0448758965008,
      "fos_buckling": 0.8965198537970255,
      "fos_yielding": 4.590243202760026,
      "deflection": 0.011986405190658451,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.524)"
      },
      "parent_node_id": "node_513",
      "improvement_over_parent": null
    },
    "node_515": {
      "node_id": "node_515",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n  Mass: 183.37 kg\n  Factor of Safety: 0.89\n  Max Deflection: 9.86e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.3696212182671,
      "fos_buckling": 0.8942469241446671,
      "fos_yielding": 4.095707145516974,
      "deflection": 0.009860032369834407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006019)"
      },
      "parent_node_id": "node_514",
      "improvement_over_parent": null
    },
    "node_516": {
      "node_id": "node_516",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n  Mass: 203.08 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.79e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.0766155421565,
      "fos_buckling": 1.3916326244535264,
      "fos_yielding": 4.111000084705886,
      "deflection": 0.0077902793580759185,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006078)"
      },
      "parent_node_id": "node_515",
      "improvement_over_parent": null
    },
    "node_517": {
      "node_id": "node_517",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.65603435112908,
      "fos_buckling": 1.5260861073897551,
      "fos_yielding": 4.6047423772514,
      "deflection": 0.006968395325584919,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_516",
      "improvement_over_parent": null
    },
    "node_518": {
      "node_id": "node_518",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 73)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 162.31 kg\n  Factor of Safety: 0.87\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": 162.30889428810747,
      "fos_buckling": 0.8686563977391516,
      "fos_yielding": 4.376406395967231,
      "deflection": 0.01303447289974927,
      "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 4 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 163.01 kg\n  Factor of Safety: 0.87\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": 163.0145814559587,
      "fos_buckling": 0.8686563977391516,
      "fos_yielding": 4.391128043089879,
      "deflection": 0.01303447289974927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.250)"
      },
      "parent_node_id": "node_519",
      "improvement_over_parent": null
    },
    "node_521": {
      "node_id": "node_521",
      "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 166.66 kg\n  Factor of Safety: 0.87\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": 166.66346648452216,
      "fos_buckling": 0.8682395503199224,
      "fos_yielding": 4.388345852971915,
      "deflection": 0.013034156599216045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.220)"
      },
      "parent_node_id": "node_520",
      "improvement_over_parent": null
    },
    "node_522": {
      "node_id": "node_522",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 194.19 kg\n  Factor of Safety: 0.98\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": 194.1937234257051,
      "fos_buckling": 0.9827329643425812,
      "fos_yielding": 5.103343574094143,
      "deflection": 0.011202835230134841,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_521",
      "improvement_over_parent": null
    },
    "node_523": {
      "node_id": "node_523",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 196.58 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.03e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.57840573729123,
      "fos_buckling": 0.9821190613347226,
      "fos_yielding": 4.551244547368212,
      "deflection": 0.009031214316722476,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_522",
      "improvement_over_parent": null
    },
    "node_524": {
      "node_id": "node_524",
      "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 202.14 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.1441033614806,
      "fos_buckling": 0.981403625025913,
      "fos_yielding": 4.590576047831482,
      "deflection": 0.008811926329421429,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.269)"
      },
      "parent_node_id": "node_523",
      "improvement_over_parent": null
    },
    "node_525": {
      "node_id": "node_525",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7606322707752,
      "fos_buckling": 1.5265953833646078,
      "fos_yielding": 4.606988628560402,
      "deflection": 0.0069650463535637875,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_524",
      "improvement_over_parent": null
    },
    "node_526": {
      "node_id": "node_526",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_525",
      "improvement_over_parent": null
    },
    "node_527": {
      "node_id": "node_527",
      "content": "INITIAL DESIGN (Trace 74)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 111.47 kg\n  Factor of Safety: 0.47\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": 111.46747916892684,
      "fos_buckling": 0.46806358042941815,
      "fos_yielding": 3.060425408290904,
      "deflection": 0.01878911540271688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_528": {
      "node_id": "node_528",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 124.00 kg\n  Factor of Safety: 0.51\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": 123.99795201046909,
      "fos_buckling": 0.5124226405723253,
      "fos_yielding": 3.399485737708595,
      "deflection": 0.016924061019194896,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_527",
      "improvement_over_parent": null
    },
    "node_529": {
      "node_id": "node_529",
      "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 131.36 kg\n  Factor of Safety: 0.51\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": 131.35581093770642,
      "fos_buckling": 0.5119246193322009,
      "fos_yielding": 3.3984401205618178,
      "deflection": 0.01693836693365046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.626)"
      },
      "parent_node_id": "node_528",
      "improvement_over_parent": null
    },
    "node_530": {
      "node_id": "node_530",
      "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 137.55 kg\n  Factor of Safety: 0.51\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": 137.5518329721017,
      "fos_buckling": 0.5115059879571526,
      "fos_yielding": 3.3975601095254317,
      "deflection": 0.01695041388400183,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.416)"
      },
      "parent_node_id": "node_529",
      "improvement_over_parent": null
    },
    "node_531": {
      "node_id": "node_531",
      "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 137.92 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.68e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.92486122510337,
      "fos_buckling": 0.5114556271725311,
      "fos_yielding": 3.3974541790617736,
      "deflection": 0.016805967957372367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.263)"
      },
      "parent_node_id": "node_530",
      "improvement_over_parent": null
    },
    "node_532": {
      "node_id": "node_532",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n  Mass: 155.13 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.1267038201542,
      "fos_buckling": 0.5102972014307011,
      "fos_yielding": 3.395013568502671,
      "deflection": 0.014909055332169992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005308)"
      },
      "parent_node_id": "node_531",
      "improvement_over_parent": null
    },
    "node_533": {
      "node_id": "node_533",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n  Mass: 180.85 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.73e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.85436940466397,
      "fos_buckling": 1.2640777991071042,
      "fos_yielding": 3.6647852085597723,
      "deflection": 0.008725492685288742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006300)"
      },
      "parent_node_id": "node_532",
      "improvement_over_parent": null
    },
    "node_534": {
      "node_id": "node_534",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63950774425203,
      "fos_buckling": 1.5262106612830182,
      "fos_yielding": 4.605498431731666,
      "deflection": 0.006968778897506126,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_533",
      "improvement_over_parent": null
    },
    "node_535": {
      "node_id": "node_535",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_534",
      "improvement_over_parent": null
    },
    "node_536": {
      "node_id": "node_536",
      "content": "INITIAL DESIGN (Trace 75)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 131.58 kg\n  Factor of Safety: 0.87\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": 131.58322450020762,
      "fos_buckling": 0.8665695825733563,
      "fos_yielding": 3.0452159858258043,
      "deflection": 0.011843163784166312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_537": {
      "node_id": "node_537",
      "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 134.77 kg\n  Factor of Safety: 0.89\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": 134.76645598179005,
      "fos_buckling": 0.8897697422032077,
      "fos_yielding": 3.027356610206523,
      "deflection": 0.011689640692757805,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.309)"
      },
      "parent_node_id": "node_536",
      "improvement_over_parent": null
    },
    "node_538": {
      "node_id": "node_538",
      "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 140.67 kg\n  Factor of Safety: 0.92\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": 140.67473203061132,
      "fos_buckling": 0.9181973724760932,
      "fos_yielding": 2.98225831385005,
      "deflection": 0.011283844608427738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.600)"
      },
      "parent_node_id": "node_537",
      "improvement_over_parent": null
    },
    "node_539": {
      "node_id": "node_539",
      "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 144.88 kg\n  Factor of Safety: 0.96\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": 144.87960391840568,
      "fos_buckling": 0.9584381284268558,
      "fos_yielding": 2.9809984971005394,
      "deflection": 0.010897454774334799,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.264)"
      },
      "parent_node_id": "node_538",
      "improvement_over_parent": null
    },
    "node_540": {
      "node_id": "node_540",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 165.93 kg\n  Factor of Safety: 1.08\n  Max Deflection: 9.54e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.93037720460174,
      "fos_buckling": 1.0811385073036677,
      "fos_yielding": 3.4112509141361267,
      "deflection": 0.00953702605190857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_539",
      "improvement_over_parent": null
    },
    "node_541": {
      "node_id": "node_541",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 184.74 kg\n  Factor of Safety: 1.19\n  Max Deflection: 8.58e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.74019734645663,
      "fos_buckling": 1.1872639436467067,
      "fos_yielding": 3.795074189419111,
      "deflection": 0.008583693241630216,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_540",
      "improvement_over_parent": null
    },
    "node_542": {
      "node_id": "node_542",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 223.00 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.14e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.00375893843264,
      "fos_buckling": 1.3929593630136323,
      "fos_yielding": 4.574020764627492,
      "deflection": 0.00714068165376887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_541",
      "improvement_over_parent": null
    },
    "node_543": {
      "node_id": "node_543",
      "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.59632303105167,
      "fos_buckling": 1.5258047770575964,
      "fos_yielding": 4.604078840350036,
      "deflection": 0.006969887202403668,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.179)"
      },
      "parent_node_id": "node_542",
      "improvement_over_parent": null
    },
    "node_544": {
      "node_id": "node_544",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_543",
      "improvement_over_parent": null
    },
    "node_545": {
      "node_id": "node_545",
      "content": "INITIAL DESIGN (Trace 76)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 188.06 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.26e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.06193022060094,
      "fos_buckling": 1.0061041320936095,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.009262111568741776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_546": {
      "node_id": "node_546",
      "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 196.57 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.03e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.5730790714015,
      "fos_buckling": 1.0049825404828263,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.009030237118934772,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.546)"
      },
      "parent_node_id": "node_545",
      "improvement_over_parent": null
    },
    "node_547": {
      "node_id": "node_547",
      "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 201.23 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.84e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.2342737821592,
      "fos_buckling": 1.0043693515183347,
      "fos_yielding": 5.143771275167355,
      "deflection": 0.008837838895343224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.220)"
      },
      "parent_node_id": "node_546",
      "improvement_over_parent": null
    },
    "node_548": {
      "node_id": "node_548",
      "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.96 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.96406214486947,
      "fos_buckling": 1.0037479033275623,
      "fos_yielding": 5.143771275167354,
      "deflection": 0.008714670913926973,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.299)"
      },
      "parent_node_id": "node_547",
      "improvement_over_parent": null
    },
    "node_549": {
      "node_id": "node_549",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6233584217169,
      "fos_buckling": 1.5259707116435823,
      "fos_yielding": 4.60420616410427,
      "deflection": 0.0069691499964202545,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_548",
      "improvement_over_parent": null
    },
    "node_550": {
      "node_id": "node_550",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_549",
      "improvement_over_parent": null
    },
    "node_551": {
      "node_id": "node_551",
      "content": "INITIAL DESIGN (Trace 77)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 160.54 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.5367006412084,
      "fos_buckling": 0.8273304959268198,
      "fos_yielding": 3.727625281672721,
      "deflection": 0.012008640721277627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_552": {
      "node_id": "node_552",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 197.93 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.77e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.93400450586842,
      "fos_buckling": 0.9813122864885159,
      "fos_yielding": 4.587001388251589,
      "deflection": 0.009769693397486599,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_551",
      "improvement_over_parent": null
    },
    "node_553": {
      "node_id": "node_553",
      "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.50 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.5036788506634,
      "fos_buckling": 0.9803404789084176,
      "fos_yielding": 4.586344914424945,
      "deflection": 0.008821412832227718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.408)"
      },
      "parent_node_id": "node_552",
      "improvement_over_parent": null
    },
    "node_554": {
      "node_id": "node_554",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5948269793237,
      "fos_buckling": 1.5257486811204553,
      "fos_yielding": 4.603338008906624,
      "deflection": 0.006970133000575425,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_553",
      "improvement_over_parent": null
    },
    "node_555": {
      "node_id": "node_555",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_554",
      "improvement_over_parent": null
    },
    "node_556": {
      "node_id": "node_556",
      "content": "INITIAL DESIGN (Trace 78)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 175.66 kg\n  Factor of Safety: 1.24\n  Max Deflection: 9.13e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.6563113715846,
      "fos_buckling": 1.2418531061511906,
      "fos_yielding": 3.8059745490235404,
      "deflection": 0.009127590862056636,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_557": {
      "node_id": "node_557",
      "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 182.91 kg\n  Factor of Safety: 1.25\n  Max Deflection: 8.87e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.91033068742013,
      "fos_buckling": 1.2471174663447897,
      "fos_yielding": 3.8070554504132983,
      "deflection": 0.008867967090370202,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.546)"
      },
      "parent_node_id": "node_556",
      "improvement_over_parent": null
    },
    "node_558": {
      "node_id": "node_558",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 217.16 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.49e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.1623555749492,
      "fos_buckling": 1.4354055534663155,
      "fos_yielding": 4.513422156818448,
      "deflection": 0.007493879198546053,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_557",
      "improvement_over_parent": null
    },
    "node_559": {
      "node_id": "node_559",
      "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.59609025234622,
      "fos_buckling": 1.5259953305633327,
      "fos_yielding": 4.603833343949604,
      "deflection": 0.006969981287617484,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.642)"
      },
      "parent_node_id": "node_558",
      "improvement_over_parent": null
    },
    "node_560": {
      "node_id": "node_560",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_559",
      "improvement_over_parent": null
    },
    "node_561": {
      "node_id": "node_561",
      "content": "INITIAL DESIGN (Trace 79)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 160.65 kg\n  Factor of Safety: 0.84\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": 160.65307004238167,
      "fos_buckling": 0.8422973745924209,
      "fos_yielding": 4.232578838309532,
      "deflection": 0.012758582581023008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_562": {
      "node_id": "node_562",
      "content": "MODIFICATION: Increase 3 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 165.34 kg\n  Factor of Safety: 0.84\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": 165.33916741594237,
      "fos_buckling": 0.8417782103936323,
      "fos_yielding": 4.2308569315322275,
      "deflection": 0.012766521350006691,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.381)"
      },
      "parent_node_id": "node_561",
      "improvement_over_parent": null
    },
    "node_563": {
      "node_id": "node_563",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n\nPerformance:\n  Mass: 186.56 kg\n  Factor of Safety: 0.86\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": 186.555207707365,
      "fos_buckling": 0.8558054318693917,
      "fos_yielding": 4.249931703824576,
      "deflection": 0.012765281453112856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005861)"
      },
      "parent_node_id": "node_562",
      "improvement_over_parent": null
    },
    "node_564": {
      "node_id": "node_564",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 225.12 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.11961953247004,
      "fos_buckling": 0.9993078353336177,
      "fos_yielding": 5.120438593001982,
      "deflection": 0.010604700247659493,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_563",
      "improvement_over_parent": null
    },
    "node_565": {
      "node_id": "node_565",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5043018440562,
      "fos_buckling": 1.5252832937475642,
      "fos_yielding": 4.601972612125552,
      "deflection": 0.0069725646465685605,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_564",
      "improvement_over_parent": null
    },
    "node_566": {
      "node_id": "node_566",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_565",
      "improvement_over_parent": null
    },
    "node_567": {
      "node_id": "node_567",
      "content": "INITIAL DESIGN (Trace 80)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 166.44 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.4447662480245,
      "fos_buckling": 0.8718003598102895,
      "fos_yielding": 4.322277120280583,
      "deflection": 0.010689037062868504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_568": {
      "node_id": "node_568",
      "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 172.99 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.99466169879622,
      "fos_buckling": 0.8710502337245895,
      "fos_yielding": 4.322277120280583,
      "deflection": 0.010334309049947935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.342)"
      },
      "parent_node_id": "node_567",
      "improvement_over_parent": null
    },
    "node_569": {
      "node_id": "node_569",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.92 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.91552226488295,
      "fos_buckling": 1.0035717164408415,
      "fos_yielding": 5.142634254836176,
      "deflection": 0.008716716008473431,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_568",
      "improvement_over_parent": null
    },
    "node_570": {
      "node_id": "node_570",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.57 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5748185417304,
      "fos_buckling": 1.5257416884632984,
      "fos_yielding": 4.603167980966797,
      "deflection": 0.006970744148603176,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_569",
      "improvement_over_parent": null
    },
    "node_571": {
      "node_id": "node_571",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_570",
      "improvement_over_parent": null
    },
    "node_572": {
      "node_id": "node_572",
      "content": "INITIAL DESIGN (Trace 81)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n\nPerformance:\n  Mass: 97.82 kg\n  Factor of Safety: 0.33\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": 97.82035971550945,
      "fos_buckling": 0.32973072010152116,
      "fos_yielding": 1.544252963222738,
      "deflection": 0.02418576309082038,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_573": {
      "node_id": "node_573",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n  Mass: 114.37 kg\n  Factor of Safety: 0.74\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": 114.36525762684346,
      "fos_buckling": 0.7350884710967862,
      "fos_yielding": 1.8531229214626734,
      "deflection": 0.01379141333906273,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.003924)"
      },
      "parent_node_id": "node_572",
      "improvement_over_parent": null
    },
    "node_574": {
      "node_id": "node_574",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 145.64 kg\n  Factor of Safety: 0.92\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": 145.64075813363166,
      "fos_buckling": 0.9207275498047999,
      "fos_yielding": 2.3636005411353076,
      "deflection": 0.0108670205459117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_573",
      "improvement_over_parent": null
    },
    "node_575": {
      "node_id": "node_575",
      "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 146.31 kg\n  Factor of Safety: 1.05\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.3122899222858,
      "fos_buckling": 1.0536159010238042,
      "fos_yielding": 2.968931796293922,
      "deflection": 0.010743270660889594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.277)"
      },
      "parent_node_id": "node_574",
      "improvement_over_parent": null
    },
    "node_576": {
      "node_id": "node_576",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 189.62 kg\n  Factor of Safety: 1.32\n  Max Deflection: 8.33e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.62405590346773,
      "fos_buckling": 1.315093437395512,
      "fos_yielding": 3.8421218437501334,
      "deflection": 0.008330064485601966,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "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 (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.61043162927152,
      "fos_buckling": 1.5259436880564377,
      "fos_yielding": 4.60582646820492,
      "deflection": 0.006969544248445182,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_576",
      "improvement_over_parent": null
    },
    "node_578": {
      "node_id": "node_578",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_577",
      "improvement_over_parent": null
    },
    "node_579": {
      "node_id": "node_579",
      "content": "INITIAL DESIGN (Trace 82)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 102.20 kg\n  Factor of Safety: 0.20\n  Max Deflection: 5.50e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 102.20167312979926,
      "fos_buckling": 0.20218774204944154,
      "fos_yielding": 1.669427483014789,
      "deflection": 54968977528448.49,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_580": {
      "node_id": "node_580",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n\nPerformance:\n  Mass: 123.92 kg\n  Factor of Safety: 0.71\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": 123.92046046468732,
      "fos_buckling": 0.7122848251209016,
      "fos_yielding": 3.452196953710618,
      "deflection": 0.016981400351085828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005258)"
      },
      "parent_node_id": "node_579",
      "improvement_over_parent": null
    },
    "node_581": {
      "node_id": "node_581",
      "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0080)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n\nPerformance:\n  Mass: 134.18 kg\n  Factor of Safety: 0.71\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": 134.17818900803294,
      "fos_buckling": 0.7113085407896078,
      "fos_yielding": 3.452196953710618,
      "deflection": 0.015693616621294617,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.511)"
      },
      "parent_node_id": "node_580",
      "improvement_over_parent": null
    },
    "node_582": {
      "node_id": "node_582",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0080)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n\nPerformance:\n  Mass: 135.78 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": 135.77721281306447,
      "fos_buckling": 0.9988898542332072,
      "fos_yielding": 3.452196953710618,
      "deflection": 0.012433079681477086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002461)"
      },
      "parent_node_id": "node_581",
      "improvement_over_parent": null
    },
    "node_583": {
      "node_id": "node_583",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0093)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n  Mass: 157.20 kg\n  Factor of Safety: 1.12\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": 157.19879973055083,
      "fos_buckling": 1.116962306324495,
      "fos_yielding": 3.9987711512553026,
      "deflection": 0.010764697021595073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_582",
      "improvement_over_parent": null
    },
    "node_584": {
      "node_id": "node_584",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0093)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 176.70 kg\n  Factor of Safety: 1.24\n  Max Deflection: 9.17e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.6967392954631,
      "fos_buckling": 1.235717849777218,
      "fos_yielding": 3.6340466523477146,
      "deflection": 0.009172948796601842,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005413)"
      },
      "parent_node_id": "node_583",
      "improvement_over_parent": null
    },
    "node_585": {
      "node_id": "node_585",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0123)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.23 kg\n  Factor of Safety: 1.52\n  Max Deflection: 7.16e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.23235352083776,
      "fos_buckling": 1.5209024047851716,
      "fos_yielding": 4.670504021863115,
      "deflection": 0.007161183217781345,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_584",
      "improvement_over_parent": null
    },
    "node_586": {
      "node_id": "node_586",
      "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0123)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 234.00 kg\n  Factor of Safety: 1.44\n  Max Deflection: 6.82e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.99902274786734,
      "fos_buckling": 1.4386619761632236,
      "fos_yielding": 4.667893549961739,
      "deflection": 0.006824718522781377,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.351)"
      },
      "parent_node_id": "node_585",
      "improvement_over_parent": null
    },
    "node_587": {
      "node_id": "node_587",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_586",
      "improvement_over_parent": null
    },
    "node_588": {
      "node_id": "node_588",
      "content": "INITIAL DESIGN (Trace 83)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 153.84 kg\n  Factor of Safety: 0.87\n  Max Deflection: 4.77e+11 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.8416030480293,
      "fos_buckling": 0.8707915324889827,
      "fos_yielding": 4.333833572164281,
      "deflection": 477289106197.2849,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_589": {
      "node_id": "node_589",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 181.57 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.92e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.57271646991944,
      "fos_buckling": 1.0002657558249681,
      "fos_yielding": 5.156422014658493,
      "deflection": 1921023892378.124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_588",
      "improvement_over_parent": null
    },
    "node_590": {
      "node_id": "node_590",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 183.96 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.9573987815056,
      "fos_buckling": 0.9836055649083123,
      "fos_yielding": 5.145943567092558,
      "deflection": 0.010718852511256373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_589",
      "improvement_over_parent": null
    },
    "node_591": {
      "node_id": "node_591",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n\nPerformance:\n  Mass: 200.31 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.87e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.31435096079335,
      "fos_buckling": 1.004839446759266,
      "fos_yielding": 5.145943567092558,
      "deflection": 0.008867096065616902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004973)"
      },
      "parent_node_id": "node_590",
      "improvement_over_parent": null
    },
    "node_592": {
      "node_id": "node_592",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 221.97 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.11e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.97364723764076,
      "fos_buckling": 1.438239262301206,
      "fos_yielding": 4.60510796283174,
      "deflection": 0.0071132889945595655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_591",
      "improvement_over_parent": null
    },
    "node_593": {
      "node_id": "node_593",
      "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0071)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 223.45 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.44551403135688,
      "fos_buckling": 1.3887069360762858,
      "fos_yielding": 4.605720338575884,
      "deflection": 0.007051887038426359,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.385)"
      },
      "parent_node_id": "node_592",
      "improvement_over_parent": null
    },
    "node_594": {
      "node_id": "node_594",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_593",
      "improvement_over_parent": null
    },
    "node_595": {
      "node_id": "node_595",
      "content": "INITIAL DESIGN (Trace 84)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 190.37 kg\n  Factor of Safety: 0.62\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": 190.3701048153616,
      "fos_buckling": 0.6163945968174207,
      "fos_yielding": 3.456347231563791,
      "deflection": 0.012169980764449266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_596": {
      "node_id": "node_596",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 222.76 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.7637244554799,
      "fos_buckling": 1.4015213548585004,
      "fos_yielding": 4.356142204074984,
      "deflection": 0.007118231288229623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_595",
      "improvement_over_parent": null
    },
    "node_597": {
      "node_id": "node_597",
      "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 223.59 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.5903323274004,
      "fos_buckling": 1.4869534230582244,
      "fos_yielding": 4.630302635518091,
      "deflection": 0.007056016897242521,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.256)"
      },
      "parent_node_id": "node_596",
      "improvement_over_parent": null
    },
    "node_598": {
      "node_id": "node_598",
      "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0099)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 229.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.87e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 229.74492438201128,
      "fos_buckling": 1.5308434347446915,
      "fos_yielding": 4.661387811863047,
      "deflection": 0.006868940783290812,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.211)"
      },
      "parent_node_id": "node_597",
      "improvement_over_parent": null
    },
    "node_599": {
      "node_id": "node_599",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_598",
      "improvement_over_parent": null
    },
    "node_600": {
      "node_id": "node_600",
      "content": "INITIAL DESIGN (Trace 85)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 116.02 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.17e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.01801975737892,
      "fos_buckling": 0.6343401146243515,
      "fos_yielding": 3.6548753404219045,
      "deflection": 11748326623599.277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_601": {
      "node_id": "node_601",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n\nPerformance:\n  Mass: 130.30 kg\n  Factor of Safety: 1.47\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": 130.30413196656693,
      "fos_buckling": 1.4657093832817005,
      "fos_yielding": 4.004329387114799,
      "deflection": 11835079036060.977,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004354)"
      },
      "parent_node_id": "node_600",
      "improvement_over_parent": null
    },
    "node_602": {
      "node_id": "node_602",
      "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n\nPerformance:\n  Mass: 135.20 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.28e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.20045977415515,
      "fos_buckling": 0.6343401146243515,
      "fos_yielding": 3.6548753404219045,
      "deflection": 12811873382691.7,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.368)"
      },
      "parent_node_id": "node_601",
      "improvement_over_parent": null
    },
    "node_603": {
      "node_id": "node_603",
      "content": "MODIFICATION: Increase 3 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0060)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n\nPerformance:\n  Mass: 136.40 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.28e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.4011221695976,
      "fos_buckling": 0.6343401146243515,
      "fos_yielding": 3.6548753404219045,
      "deflection": 12811873382691.7,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.351)"
      },
      "parent_node_id": "node_602",
      "improvement_over_parent": null
    },
    "node_604": {
      "node_id": "node_604",
      "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0060)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n\nPerformance:\n  Mass: 144.78 kg\n  Factor of Safety: 0.93\n  Max Deflection: 9.26e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.7764527854448,
      "fos_buckling": 0.9259200774367966,
      "fos_yielding": 2.5296208228525607,
      "deflection": 92579496883025.23,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.565)"
      },
      "parent_node_id": "node_603",
      "improvement_over_parent": null
    },
    "node_605": {
      "node_id": "node_605",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0060)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n\nPerformance:\n  Mass: 167.16 kg\n  Factor of Safety: 0.55\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": 167.16168343850373,
      "fos_buckling": 0.5524318427956374,
      "fos_yielding": 4.09007137871434,
      "deflection": 0.01348186990752319,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006211)"
      },
      "parent_node_id": "node_604",
      "improvement_over_parent": null
    },
    "node_606": {
      "node_id": "node_606",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0069)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 191.38 kg\n  Factor of Safety: 0.62\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": 191.38129031695382,
      "fos_buckling": 0.616410291177735,
      "fos_yielding": 4.677696002573624,
      "deflection": 0.011811030211814979,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_605",
      "improvement_over_parent": null
    },
    "node_607": {
      "node_id": "node_607",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0069)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 223.77 kg\n  Factor of Safety: 1.47\n  Max Deflection: 7.03e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.7749099570721,
      "fos_buckling": 1.468190986028058,
      "fos_yielding": 4.644843542755467,
      "deflection": 0.007033016326396965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_606",
      "improvement_over_parent": null
    },
    "node_608": {
      "node_id": "node_608",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_607",
      "improvement_over_parent": null
    },
    "node_609": {
      "node_id": "node_609",
      "content": "INITIAL DESIGN (Trace 86)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n\nPerformance:\n  Mass: 115.11 kg\n  Factor of Safety: 0.39\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": 115.11137143957573,
      "fos_buckling": 0.38973330160720493,
      "fos_yielding": 2.3523878154636497,
      "deflection": 0.02140684268691517,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_610": {
      "node_id": "node_610",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n\nPerformance:\n  Mass: 145.28 kg\n  Factor of Safety: 0.48\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": 145.27635258276507,
      "fos_buckling": 0.47667386627988056,
      "fos_yielding": 2.963481702899505,
      "deflection": 0.017004616552822573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_609",
      "improvement_over_parent": null
    },
    "node_611": {
      "node_id": "node_611",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 170.43 kg\n  Factor of Safety: 1.18\n  Max Deflection: 9.19e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.42595732955903,
      "fos_buckling": 1.1823569214474197,
      "fos_yielding": 3.568005988890653,
      "deflection": 0.009191268436440584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006107)"
      },
      "parent_node_id": "node_610",
      "improvement_over_parent": null
    },
    "node_612": {
      "node_id": "node_612",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 222.24 kg\n  Factor of Safety: 1.47\n  Max Deflection: 7.09e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.24052958074336,
      "fos_buckling": 1.4716040402795565,
      "fos_yielding": 4.642089402317573,
      "deflection": 0.007090351536703873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.333)"
      },
      "parent_node_id": "node_611",
      "improvement_over_parent": null
    },
    "node_613": {
      "node_id": "node_613",
      "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.69102432901786,
      "fos_buckling": 1.5262011096652712,
      "fos_yielding": 4.605241436130833,
      "deflection": 0.006967334041286464,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.304)"
      },
      "parent_node_id": "node_612",
      "improvement_over_parent": null
    },
    "node_614": {
      "node_id": "node_614",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_613",
      "improvement_over_parent": null
    },
    "node_615": {
      "node_id": "node_615",
      "content": "INITIAL DESIGN (Trace 87)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 171.61 kg\n  Factor of Safety: 0.59\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": 171.60500263281347,
      "fos_buckling": 0.5941115612615898,
      "fos_yielding": 3.854227670782888,
      "deflection": 0.013696632763161307,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_616": {
      "node_id": "node_616",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 193.70 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.69615076147377,
      "fos_buckling": 0.592392118779959,
      "fos_yielding": 3.8514409655277353,
      "deflection": 0.0121820061135165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_615",
      "improvement_over_parent": null
    },
    "node_617": {
      "node_id": "node_617",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 226.47 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.47374550435927,
      "fos_buckling": 1.2906216045923713,
      "fos_yielding": 3.958983114461979,
      "deflection": 0.007064773175304623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_616",
      "improvement_over_parent": null
    },
    "node_618": {
      "node_id": "node_618",
      "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.30 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.30026339725043,
      "fos_buckling": 1.2873393419656187,
      "fos_yielding": 3.948914770440535,
      "deflection": 0.006999002852480911,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.397)"
      },
      "parent_node_id": "node_617",
      "improvement_over_parent": null
    },
    "node_619": {
      "node_id": "node_619",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_618",
      "improvement_over_parent": null
    },
    "node_620": {
      "node_id": "node_620",
      "content": "INITIAL DESIGN (Trace 88)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 180.27 kg\n  Factor of Safety: 0.91\n  Max Deflection: 9.86e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.27199152620355,
      "fos_buckling": 0.9144970229839489,
      "fos_yielding": 4.582018181305886,
      "deflection": 0.00985791523233731,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_621": {
      "node_id": "node_621",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n  Mass: 199.56 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.90e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.56126254785332,
      "fos_buckling": 1.3569790211770991,
      "fos_yielding": 4.103092034411504,
      "deflection": 0.007896628207403418,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006007)"
      },
      "parent_node_id": "node_620",
      "improvement_over_parent": null
    },
    "node_622": {
      "node_id": "node_622",
      "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n  Mass: 202.70 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.80e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.69861299954647,
      "fos_buckling": 1.3896192857429674,
      "fos_yielding": 4.103648504839704,
      "deflection": 0.007804153461609545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.206)"
      },
      "parent_node_id": "node_621",
      "improvement_over_parent": null
    },
    "node_623": {
      "node_id": "node_623",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6022371784236,
      "fos_buckling": 1.5259169605434135,
      "fos_yielding": 4.603937366065041,
      "deflection": 0.006969717518592869,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_622",
      "improvement_over_parent": null
    },
    "node_624": {
      "node_id": "node_624",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_623",
      "improvement_over_parent": null
    },
    "node_625": {
      "node_id": "node_625",
      "content": "INITIAL DESIGN (Trace 89)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 173.28 kg\n  Factor of Safety: 1.09\n  Max Deflection: 9.03e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.2802378695528,
      "fos_buckling": 1.0866585536472666,
      "fos_yielding": 3.7343236025422932,
      "deflection": 0.009027757262320414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_626": {
      "node_id": "node_626",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 215.44 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.30e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.44035935131646,
      "fos_buckling": 1.3195678644696411,
      "fos_yielding": 4.632099783086805,
      "deflection": 0.007295684935284039,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_625",
      "improvement_over_parent": null
    },
    "node_627": {
      "node_id": "node_627",
      "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 219.60 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.20e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.6013463260384,
      "fos_buckling": 1.3214995501524973,
      "fos_yielding": 4.602879738137323,
      "deflection": 0.007197331731948018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.261)"
      },
      "parent_node_id": "node_626",
      "improvement_over_parent": null
    },
    "node_628": {
      "node_id": "node_628",
      "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.65444547535313,
      "fos_buckling": 1.5261359266405874,
      "fos_yielding": 4.604656783373159,
      "deflection": 0.006968306356851822,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.629)"
      },
      "parent_node_id": "node_627",
      "improvement_over_parent": null
    },
    "node_629": {
      "node_id": "node_629",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_628",
      "improvement_over_parent": null
    },
    "node_630": {
      "node_id": "node_630",
      "content": "INITIAL DESIGN (Trace 90)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 152.35 kg\n  Factor of Safety: 0.49\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": 152.35415125345355,
      "fos_buckling": 0.48522477920362705,
      "fos_yielding": 3.0263267109006113,
      "deflection": 0.01568467499151825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_631": {
      "node_id": "node_631",
      "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 152.79 kg\n  Factor of Safety: 0.49\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": 152.79032664782466,
      "fos_buckling": 0.4851690287037981,
      "fos_yielding": 3.0262401269110892,
      "deflection": 0.015349604251472667,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.326)"
      },
      "parent_node_id": "node_630",
      "improvement_over_parent": null
    },
    "node_632": {
      "node_id": "node_632",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 178.49 kg\n  Factor of Safety: 1.25\n  Max Deflection: 8.84e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.4924649094387,
      "fos_buckling": 1.2500075306566756,
      "fos_yielding": 3.616271971089622,
      "deflection": 0.008838475872994515,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006251)"
      },
      "parent_node_id": "node_631",
      "improvement_over_parent": null
    },
    "node_633": {
      "node_id": "node_633",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.59875421438875,
      "fos_buckling": 1.5258359672538584,
      "fos_yielding": 4.603508768171154,
      "deflection": 0.006969901023637993,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_632",
      "improvement_over_parent": null
    },
    "node_634": {
      "node_id": "node_634",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_633",
      "improvement_over_parent": null
    },
    "node_635": {
      "node_id": "node_635",
      "content": "INITIAL DESIGN (Trace 91)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 180.09 kg\n  Factor of Safety: 1.21\n  Max Deflection: 8.62e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.08581797472976,
      "fos_buckling": 1.2103532776512134,
      "fos_yielding": 3.8806776465931936,
      "deflection": 0.008620803266765896,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_636": {
      "node_id": "node_636",
      "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 186.86 kg\n  Factor of Safety: 1.24\n  Max Deflection: 8.42e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.8554227238416,
      "fos_buckling": 1.2400208118849236,
      "fos_yielding": 3.8816839285848026,
      "deflection": 0.008416774632593021,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.493)"
      },
      "parent_node_id": "node_635",
      "improvement_over_parent": null
    },
    "node_637": {
      "node_id": "node_637",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 221.97 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.11e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.97468965851743,
      "fos_buckling": 1.439590994352706,
      "fos_yielding": 4.60417783892685,
      "deflection": 0.007113248625476028,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_636",
      "improvement_over_parent": null
    },
    "node_638": {
      "node_id": "node_638",
      "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6938442961337,
      "fos_buckling": 1.5262598898286164,
      "fos_yielding": 4.605274748721809,
      "deflection": 0.006967218133836231,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.383)"
      },
      "parent_node_id": "node_637",
      "improvement_over_parent": null
    },
    "node_639": {
      "node_id": "node_639",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_638",
      "improvement_over_parent": null
    },
    "node_640": {
      "node_id": "node_640",
      "content": "INITIAL DESIGN (Trace 92)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 188.20 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.00e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.19538181052198,
      "fos_buckling": 1.0056211964203832,
      "fos_yielding": 2.9893623627644716,
      "deflection": 0.008996307665910181,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_641": {
      "node_id": "node_641",
      "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 189.61 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.86e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.61439151416235,
      "fos_buckling": 1.0056211964203834,
      "fos_yielding": 2.9893623627644716,
      "deflection": 0.008856380506582686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.527)"
      },
      "parent_node_id": "node_640",
      "improvement_over_parent": null
    },
    "node_642": {
      "node_id": "node_642",
      "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 193.15 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.86e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.14536241669552,
      "fos_buckling": 1.0051560312841603,
      "fos_yielding": 2.9884388808552442,
      "deflection": 0.00886036609210723,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.255)"
      },
      "parent_node_id": "node_641",
      "improvement_over_parent": null
    },
    "node_643": {
      "node_id": "node_643",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 218.26 kg\n  Factor of Safety: 1.05\n  Max Deflection: 7.41e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.26465739419646,
      "fos_buckling": 1.0470055748723157,
      "fos_yielding": 2.7197604171092875,
      "deflection": 0.007408715928249134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_642",
      "improvement_over_parent": null
    },
    "node_644": {
      "node_id": "node_644",
      "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 219.26 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.28e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.256737482575,
      "fos_buckling": 1.3462598628902067,
      "fos_yielding": 3.6167230279048406,
      "deflection": 0.007283721573613384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.364)"
      },
      "parent_node_id": "node_643",
      "improvement_over_parent": null
    },
    "node_645": {
      "node_id": "node_645",
      "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 222.42 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.22e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.42125180662512,
      "fos_buckling": 1.3403472015266926,
      "fos_yielding": 3.600838681131168,
      "deflection": 0.007216775141630993,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.188)"
      },
      "parent_node_id": "node_644",
      "improvement_over_parent": null
    },
    "node_646": {
      "node_id": "node_646",
      "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 226.50 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.5021914075132,
      "fos_buckling": 1.3399295637210191,
      "fos_yielding": 3.5997166984361924,
      "deflection": 0.0070562649115324194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.188)"
      },
      "parent_node_id": "node_645",
      "improvement_over_parent": null
    },
    "node_647": {
      "node_id": "node_647",
      "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.62118101221316,
      "fos_buckling": 1.5259638864462015,
      "fos_yielding": 4.605520676575096,
      "deflection": 0.00696923535804154,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.314)"
      },
      "parent_node_id": "node_646",
      "improvement_over_parent": null
    },
    "node_648": {
      "node_id": "node_648",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_647",
      "improvement_over_parent": null
    },
    "node_649": {
      "node_id": "node_649",
      "content": "INITIAL DESIGN (Trace 93)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 168.94 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.94145364697732,
      "fos_buckling": 0.9044274942311125,
      "fos_yielding": 4.515742794840407,
      "deflection": 0.010228196962735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_650": {
      "node_id": "node_650",
      "content": "MODIFICATION: Increase 8 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 171.70 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.69529132937438,
      "fos_buckling": 0.9041002408945277,
      "fos_yielding": 4.515742794840407,
      "deflection": 0.010099177091162998,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.212)"
      },
      "parent_node_id": "node_649",
      "improvement_over_parent": null
    },
    "node_651": {
      "node_id": "node_651",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n  Mass: 193.73 kg\n  Factor of Safety: 1.31\n  Max Deflection: 8.11e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.73296852209234,
      "fos_buckling": 1.3085206370584317,
      "fos_yielding": 4.042451221152966,
      "deflection": 0.00810611176208673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006177)"
      },
      "parent_node_id": "node_650",
      "improvement_over_parent": null
    },
    "node_652": {
      "node_id": "node_652",
      "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n  Mass: 199.72 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.92e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.71895344941666,
      "fos_buckling": 1.372740940304011,
      "fos_yielding": 4.043492173632204,
      "deflection": 0.007918075174735445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.393)"
      },
      "parent_node_id": "node_651",
      "improvement_over_parent": null
    },
    "node_653": {
      "node_id": "node_653",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.53256907197775,
      "fos_buckling": 1.525463645452152,
      "fos_yielding": 4.6022680328724626,
      "deflection": 0.006971922707091967,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_652",
      "improvement_over_parent": null
    },
    "node_654": {
      "node_id": "node_654",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_653",
      "improvement_over_parent": null
    },
    "node_655": {
      "node_id": "node_655",
      "content": "INITIAL DESIGN (Trace 94)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 183.32 kg\n  Factor of Safety: 0.43\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": 183.31509256425124,
      "fos_buckling": 0.42862890844295515,
      "fos_yielding": 4.25039141880889,
      "deflection": 0.013976121919900419,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_656": {
      "node_id": "node_656",
      "content": "MODIFICATION: Increase 2 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 190.95 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.95487166053022,
      "fos_buckling": 0.6162829653484102,
      "fos_yielding": 4.245876035229589,
      "deflection": 0.01227113421779776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.580)"
      },
      "parent_node_id": "node_655",
      "improvement_over_parent": null
    },
    "node_657": {
      "node_id": "node_657",
      "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 194.59 kg\n  Factor of Safety: 0.62\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": 194.59247610214967,
      "fos_buckling": 0.6159892353524896,
      "fos_yielding": 4.201871028481283,
      "deflection": 0.012213033873065854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.186)"
      },
      "parent_node_id": "node_656",
      "improvement_over_parent": null
    },
    "node_658": {
      "node_id": "node_658",
      "content": "MODIFICATION: Increase 5 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 195.23 kg\n  Factor of Safety: 0.62\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": 195.23057766313352,
      "fos_buckling": 0.615886250589073,
      "fos_yielding": 4.261412105142736,
      "deflection": 0.01190278502354772,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.401)"
      },
      "parent_node_id": "node_657",
      "improvement_over_parent": null
    },
    "node_659": {
      "node_id": "node_659",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6241973032518,
      "fos_buckling": 1.525988410672922,
      "fos_yielding": 4.604194255279411,
      "deflection": 0.006969225225042198,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_658",
      "improvement_over_parent": null
    },
    "node_660": {
      "node_id": "node_660",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_659",
      "improvement_over_parent": null
    },
    "node_661": {
      "node_id": "node_661",
      "content": "INITIAL DESIGN (Trace 95)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 165.02 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.0152457277486,
      "fos_buckling": 0.8373296046853917,
      "fos_yielding": 4.123144114468496,
      "deflection": 0.010823685651641402,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_662": {
      "node_id": "node_662",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n\nPerformance:\n  Mass: 179.71 kg\n  Factor of Safety: 1.24\n  Max Deflection: 8.75e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.7124736251421,
      "fos_buckling": 1.244477020398314,
      "fos_yielding": 3.7120796532850124,
      "deflection": 0.00874837095409271,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004487)"
      },
      "parent_node_id": "node_661",
      "improvement_over_parent": null
    },
    "node_663": {
      "node_id": "node_663",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n\nPerformance:\n  Mass: 224.30 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.2983026723304,
      "fos_buckling": 1.4923541961754636,
      "fos_yielding": 4.624610176515108,
      "deflection": 0.00704502590601253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_662",
      "improvement_over_parent": null
    },
    "node_664": {
      "node_id": "node_664",
      "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0061)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n\nPerformance:\n  Mass: 225.06 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.0580323337594,
      "fos_buckling": 1.4917436687765315,
      "fos_yielding": 4.624992666089396,
      "deflection": 0.007005200139405183,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.195)"
      },
      "parent_node_id": "node_663",
      "improvement_over_parent": null
    },
    "node_665": {
      "node_id": "node_665",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_664",
      "improvement_over_parent": null
    },
    "node_666": {
      "node_id": "node_666",
      "content": "INITIAL DESIGN (Trace 96)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 153.88 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.21e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.87982760612454,
      "fos_buckling": 0.6202335322585713,
      "fos_yielding": 3.5291698027628624,
      "deflection": 12085603339235.135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_667": {
      "node_id": "node_667",
      "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 154.61 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.21e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.60944804584548,
      "fos_buckling": 0.6202335322585713,
      "fos_yielding": 3.5291698027628624,
      "deflection": 12085603339235.135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.220)"
      },
      "parent_node_id": "node_666",
      "improvement_over_parent": null
    },
    "node_668": {
      "node_id": "node_668",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 180.23 kg\n  Factor of Safety: 0.46\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": 180.22597695514008,
      "fos_buckling": 0.4638479881569355,
      "fos_yielding": 3.1434326449550483,
      "deflection": 0.013470308424075995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_667",
      "improvement_over_parent": null
    },
    "node_669": {
      "node_id": "node_669",
      "content": "MODIFICATION: Increase 3 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 187.26 kg\n  Factor of Safety: 0.46\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": 187.25904370939367,
      "fos_buckling": 0.4634202696230204,
      "fos_yielding": 3.1114429317037797,
      "deflection": 0.01333027394346958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.527)"
      },
      "parent_node_id": "node_668",
      "improvement_over_parent": null
    },
    "node_670": {
      "node_id": "node_670",
      "content": "MODIFICATION: Increase 6 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 188.94 kg\n  Factor of Safety: 0.46\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": 188.9444392931072,
      "fos_buckling": 0.4634202696230205,
      "fos_yielding": 4.264393385607362,
      "deflection": 0.013187140486664748,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.553)"
      },
      "parent_node_id": "node_669",
      "improvement_over_parent": null
    },
    "node_671": {
      "node_id": "node_671",
      "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 195.23 kg\n  Factor of Safety: 0.62\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": 195.23482697599212,
      "fos_buckling": 0.6158706263564973,
      "fos_yielding": 4.261041120575405,
      "deflection": 0.011902616123871773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.437)"
      },
      "parent_node_id": "node_670",
      "improvement_over_parent": null
    },
    "node_672": {
      "node_id": "node_672",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6284466161104,
      "fos_buckling": 1.5260053974168186,
      "fos_yielding": 4.602226035548148,
      "deflection": 0.006969173370744118,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_671",
      "improvement_over_parent": null
    },
    "node_673": {
      "node_id": "node_673",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_672",
      "improvement_over_parent": null
    },
    "node_674": {
      "node_id": "node_674",
      "content": "INITIAL DESIGN (Trace 97)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 159.43 kg\n  Factor of Safety: 0.62\n  Max Deflection: 8.33e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.42887636862102,
      "fos_buckling": 0.6202335322585713,
      "fos_yielding": 3.654875340421904,
      "deflection": 8329320750830.026,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_675": {
      "node_id": "node_675",
      "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 165.53 kg\n  Factor of Safety: 1.89\n  Max Deflection: 2.09e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 165.53141138157545,
      "fos_buckling": 1.8863452114155745,
      "fos_yielding": 5.270721077117076,
      "deflection": 20875701230030.414,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.307)"
      },
      "parent_node_id": "node_674",
      "improvement_over_parent": null
    },
    "node_676": {
      "node_id": "node_676",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 197.93 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.92503102169374,
      "fos_buckling": 0.9814492064664094,
      "fos_yielding": 4.588106067222703,
      "deflection": 0.008813487482438785,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_675",
      "improvement_over_parent": null
    },
    "node_677": {
      "node_id": "node_677",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 201.99 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.9925182607532,
      "fos_buckling": 0.9809267026192414,
      "fos_yielding": 4.587807880812872,
      "deflection": 0.008818032676014404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.248)"
      },
      "parent_node_id": "node_676",
      "improvement_over_parent": null
    },
    "node_678": {
      "node_id": "node_678",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6090471700478,
      "fos_buckling": 1.525985450058531,
      "fos_yielding": 4.604199519762466,
      "deflection": 0.0069695732161821925,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_677",
      "improvement_over_parent": null
    },
    "node_679": {
      "node_id": "node_679",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_678",
      "improvement_over_parent": null
    },
    "node_680": {
      "node_id": "node_680",
      "content": "INITIAL DESIGN (Trace 98)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_681": {
      "node_id": "node_681",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 165.56 kg\n  Factor of Safety: 0.21\n  Max Deflection: 8.70e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.55569339387034,
      "fos_buckling": 0.20853927698232727,
      "fos_yielding": 1.2316574341160467,
      "deflection": 86971018278936.92,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_680",
      "improvement_over_parent": null
    },
    "node_682": {
      "node_id": "node_682",
      "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 170.83 kg\n  Factor of Safety: 0.13\n  Max Deflection: 5.61e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.8349136165799,
      "fos_buckling": 0.12538491634249366,
      "fos_yielding": 1.84748615117407,
      "deflection": 56110268365342.49,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.252)"
      },
      "parent_node_id": "node_681",
      "improvement_over_parent": null
    },
    "node_683": {
      "node_id": "node_683",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 192.49 kg\n  Factor of Safety: 0.50\n  Max Deflection: 3.54e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.49420989342735,
      "fos_buckling": 0.4982204879180215,
      "fos_yielding": 3.852039253909811,
      "deflection": 0.035404690412813286,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_682",
      "improvement_over_parent": null
    },
    "node_684": {
      "node_id": "node_684",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 194.88 kg\n  Factor of Safety: 0.59\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": 194.8788922050135,
      "fos_buckling": 0.592349405414634,
      "fos_yielding": 3.8514379607338523,
      "deflection": 0.01209268074088203,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_683",
      "improvement_over_parent": null
    },
    "node_685": {
      "node_id": "node_685",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.656486947899,
      "fos_buckling": 1.5257140846009334,
      "fos_yielding": 4.6043567927378835,
      "deflection": 0.0069681253033498855,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_684",
      "improvement_over_parent": null
    },
    "node_686": {
      "node_id": "node_686",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_685",
      "improvement_over_parent": null
    },
    "node_687": {
      "node_id": "node_687",
      "content": "INITIAL DESIGN (Trace 99)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n  Mass: 110.37 kg\n  Factor of Safety: 0.82\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": 110.36818347235115,
      "fos_buckling": 0.819302690846772,
      "fos_yielding": 2.2412644171834977,
      "deflection": 0.014184287339548329,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_688": {
      "node_id": "node_688",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 135.33 kg\n  Factor of Safety: 0.98\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": 135.33292954906193,
      "fos_buckling": 0.9836763600766261,
      "fos_yielding": 2.7458987769791037,
      "deflection": 0.011600552524071545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "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 (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 157.24 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.24402359122226,
      "fos_buckling": 1.121687891432786,
      "fos_yielding": 3.1881028060571888,
      "deflection": 0.010008876796121984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_688",
      "improvement_over_parent": null
    },
    "node_690": {
      "node_id": "node_690",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 189.34 kg\n  Factor of Safety: 1.31\n  Max Deflection: 8.34e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.3391684174935,
      "fos_buckling": 1.3133809910438397,
      "fos_yielding": 3.8346535200551632,
      "deflection": 0.008342424491656966,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_689",
      "improvement_over_parent": null
    },
    "node_691": {
      "node_id": "node_691",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.61367694552234,
      "fos_buckling": 1.5258874831823415,
      "fos_yielding": 4.603850492853253,
      "deflection": 0.006969524302757717,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_690",
      "improvement_over_parent": null
    },
    "node_692": {
      "node_id": "node_692",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_691",
      "improvement_over_parent": null
    },
    "node_693": {
      "node_id": "node_693",
      "content": "INITIAL DESIGN (Trace 100)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 147.66 kg\n  Factor of Safety: 1.14\n  Max Deflection: 8.34e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.6649918989887,
      "fos_buckling": 1.1437798437786162,
      "fos_yielding": 2.972860729303251,
      "deflection": 8342913836648.34,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_694": {
      "node_id": "node_694",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 176.01 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.00764819292323,
      "fos_buckling": 0.8922591982349262,
      "fos_yielding": 3.0052883559352415,
      "deflection": 0.010115539628535036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006946)"
      },
      "parent_node_id": "node_693",
      "improvement_over_parent": null
    },
    "node_695": {
      "node_id": "node_695",
      "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 177.42 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.42093964655842,
      "fos_buckling": 0.8922591982349262,
      "fos_yielding": 3.7836004476187592,
      "deflection": 0.010115539628535035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.520)"
      },
      "parent_node_id": "node_694",
      "improvement_over_parent": null
    },
    "node_696": {
      "node_id": "node_696",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.21 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.77e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.20905759994662,
      "fos_buckling": 1.003814386931462,
      "fos_yielding": 4.381827607428773,
      "deflection": 0.008774631547379242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_695",
      "improvement_over_parent": null
    },
    "node_697": {
      "node_id": "node_697",
      "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 206.00 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.99878220039392,
      "fos_buckling": 1.0038143869314617,
      "fos_yielding": 5.1458627668598975,
      "deflection": 0.00871348258475438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.242)"
      },
      "parent_node_id": "node_696",
      "improvement_over_parent": null
    },
    "node_698": {
      "node_id": "node_698",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.65807847724136,
      "fos_buckling": 1.5260940304885828,
      "fos_yielding": 4.606063316326536,
      "deflection": 0.006968105617253768,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_697",
      "improvement_over_parent": null
    },
    "node_699": {
      "node_id": "node_699",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_698",
      "improvement_over_parent": null
    },
    "node_700": {
      "node_id": "node_700",
      "content": "INITIAL DESIGN (Trace 101)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0025)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0011)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n\nPerformance:\n  Mass: 93.85 kg\n  Factor of Safety: 0.52\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": 93.85268092374169,
      "fos_buckling": 0.5201651644349361,
      "fos_yielding": 2.174036335728755,
      "deflection": 0.0190705618918094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_701": {
      "node_id": "node_701",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 118.76 kg\n  Factor of Safety: 0.64\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": 118.76203567037507,
      "fos_buckling": 0.642197030199089,
      "fos_yielding": 2.7477071797225854,
      "deflection": 0.015113592176275337,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_700",
      "improvement_over_parent": null
    },
    "node_702": {
      "node_id": "node_702",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 140.34 kg\n  Factor of Safety: 0.74\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": 140.33675451956657,
      "fos_buckling": 0.7425671721781422,
      "fos_yielding": 3.243426019893204,
      "deflection": 0.012821537171206765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_701",
      "improvement_over_parent": null
    },
    "node_703": {
      "node_id": "node_703",
      "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 140.89 kg\n  Factor of Safety: 0.74\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": 140.88725576192263,
      "fos_buckling": 0.7424593291700737,
      "fos_yielding": 3.2373906365793035,
      "deflection": 0.012767404441765943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.508)"
      },
      "parent_node_id": "node_702",
      "improvement_over_parent": null
    },
    "node_704": {
      "node_id": "node_704",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 162.39 kg\n  Factor of Safety: 0.84\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": 162.39287206653586,
      "fos_buckling": 0.8372641078777905,
      "fos_yielding": 3.727816683564874,
      "deflection": 0.01110438274657044,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_703",
      "improvement_over_parent": null
    },
    "node_705": {
      "node_id": "node_705",
      "content": "MODIFICATION: Increase 1 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 169.15 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.15252363298796,
      "fos_buckling": 0.836520263513284,
      "fos_yielding": 3.780117111833961,
      "deflection": 0.01067047727249948,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.441)"
      },
      "parent_node_id": "node_704",
      "improvement_over_parent": null
    },
    "node_706": {
      "node_id": "node_706",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.51 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.5060680518895,
      "fos_buckling": 0.9803654216778283,
      "fos_yielding": 4.586464210155428,
      "deflection": 0.008821348847062288,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_705",
      "improvement_over_parent": null
    },
    "node_707": {
      "node_id": "node_707",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.59721618054982,
      "fos_buckling": 1.5258352918190456,
      "fos_yielding": 4.60345373660945,
      "deflection": 0.00697003911961794,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_706",
      "improvement_over_parent": null
    },
    "node_708": {
      "node_id": "node_708",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_707",
      "improvement_over_parent": null
    },
    "node_709": {
      "node_id": "node_709",
      "content": "INITIAL DESIGN (Trace 102)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n  Mass: 161.62 kg\n  Factor of Safety: 0.62\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": 161.61579026768024,
      "fos_buckling": 0.6196191570313032,
      "fos_yielding": 2.5823067905403625,
      "deflection": 0.014024917982892434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_710": {
      "node_id": "node_710",
      "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n  Mass: 162.61 kg\n  Factor of Safety: 0.62\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": 162.6120968891647,
      "fos_buckling": 0.6196191570313032,
      "fos_yielding": 3.991707234546718,
      "deflection": 0.014024917982892432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.577)"
      },
      "parent_node_id": "node_709",
      "improvement_over_parent": null
    },
    "node_711": {
      "node_id": "node_711",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n\nPerformance:\n  Mass: 180.98 kg\n  Factor of Safety: 0.66\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": 180.97773751649248,
      "fos_buckling": 0.6593439671781807,
      "fos_yielding": 4.110093245278508,
      "deflection": 0.013963706039677507,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005696)"
      },
      "parent_node_id": "node_710",
      "improvement_over_parent": null
    },
    "node_712": {
      "node_id": "node_712",
      "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n\nPerformance:\n  Mass: 182.28 kg\n  Factor of Safety: 0.66\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": 182.2785375899889,
      "fos_buckling": 0.6638036493968641,
      "fos_yielding": 4.122411326727155,
      "deflection": 0.013954087838087504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.339)"
      },
      "parent_node_id": "node_711",
      "improvement_over_parent": null
    },
    "node_713": {
      "node_id": "node_713",
      "content": "MODIFICATION: Increase 9 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0062)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0087)]\n\nPerformance:\n  Mass: 190.85 kg\n  Factor of Safety: 0.67\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": 190.85136010497098,
      "fos_buckling": 0.665078735751999,
      "fos_yielding": 4.128128411063856,
      "deflection": 0.013965632137501034,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.527)"
      },
      "parent_node_id": "node_712",
      "improvement_over_parent": null
    },
    "node_714": {
      "node_id": "node_714",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0074)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0104)]\n\nPerformance:\n  Mass: 225.07 kg\n  Factor of Safety: 0.77\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": 225.06684841089796,
      "fos_buckling": 0.7726428698862928,
      "fos_yielding": 4.879924235903745,
      "deflection": 0.01183898799781298,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_713",
      "improvement_over_parent": null
    },
    "node_715": {
      "node_id": "node_715",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0074)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0104)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.45 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.23e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.4515307224841,
      "fos_buckling": 1.3050803788012424,
      "fos_yielding": 4.121348461919577,
      "deflection": 0.007234147237264965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_714",
      "improvement_over_parent": null
    },
    "node_716": {
      "node_id": "node_716",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_715",
      "improvement_over_parent": null
    },
    "node_717": {
      "node_id": "node_717",
      "content": "INITIAL DESIGN (Trace 103)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0065)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 127.20 kg\n  Factor of Safety: 0.16\n  Max Deflection: 5.94e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.20334968351052,
      "fos_buckling": 0.15771380080736308,
      "fos_yielding": 0.9137188351054761,
      "deflection": 59405340515940.6,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_718": {
      "node_id": "node_718",
      "content": "MODIFICATION: Increase 5 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0065)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 128.88 kg\n  Factor of Safety: 0.16\n  Max Deflection: 5.94e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.88185732664576,
      "fos_buckling": 0.15771380080736308,
      "fos_yielding": 0.9137188351054761,
      "deflection": 59405340515940.6,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.634)"
      },
      "parent_node_id": "node_717",
      "improvement_over_parent": null
    },
    "node_719": {
      "node_id": "node_719",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 142.42 kg\n  Factor of Safety: 0.85\n  Max Deflection: 2.26e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.41653788571605,
      "fos_buckling": 0.8538117064692594,
      "fos_yielding": 5.142955876772016,
      "deflection": 22551700179994.98,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_718",
      "improvement_over_parent": null
    },
    "node_720": {
      "node_id": "node_720",
      "content": "MODIFICATION: Increase 0 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 147.99 kg\n  Factor of Safety: 0.43\n  Max Deflection: 3.49e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.99425223681726,
      "fos_buckling": 0.4269058532346297,
      "fos_yielding": 4.820167701541311,
      "deflection": 34933640878180.215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.274)"
      },
      "parent_node_id": "node_719",
      "improvement_over_parent": null
    },
    "node_721": {
      "node_id": "node_721",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 170.09 kg\n  Factor of Safety: 0.62\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": 170.08540036547757,
      "fos_buckling": 0.6181491757270342,
      "fos_yielding": 4.26477173416512,
      "deflection": 0.01341114461441239,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_720",
      "improvement_over_parent": null
    },
    "node_722": {
      "node_id": "node_722",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 202.48 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.47902000559586,
      "fos_buckling": 1.0039916460712577,
      "fos_yielding": 5.142955876772016,
      "deflection": 0.008713712158187963,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_721",
      "improvement_over_parent": null
    },
    "node_723": {
      "node_id": "node_723",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5983149830968,
      "fos_buckling": 1.5257058259163263,
      "fos_yielding": 4.602052084595543,
      "deflection": 0.006970123998241402,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_722",
      "improvement_over_parent": null
    },
    "node_724": {
      "node_id": "node_724",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_723",
      "improvement_over_parent": null
    },
    "node_725": {
      "node_id": "node_725",
      "content": "INITIAL DESIGN (Trace 104)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 136.78 kg\n  Factor of Safety: 0.30\n  Max Deflection: 5.30e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.77793112374164,
      "fos_buckling": 0.30040434262686594,
      "fos_yielding": 3.0668020723608667,
      "deflection": 0.053016615253561133,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_726": {
      "node_id": "node_726",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n  Mass: 138.67 kg\n  Factor of Safety: 0.42\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": 138.67167985910737,
      "fos_buckling": 0.423335417403648,
      "fos_yielding": 3.0664208897836454,
      "deflection": 0.01676559622144361,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002948)"
      },
      "parent_node_id": "node_725",
      "improvement_over_parent": null
    },
    "node_727": {
      "node_id": "node_727",
      "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0082)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n  Mass: 147.08 kg\n  Factor of Safety: 0.42\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": 147.08071518305601,
      "fos_buckling": 0.42286619779662604,
      "fos_yielding": 3.065574923500366,
      "deflection": 0.01658959085067959,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.460)"
      },
      "parent_node_id": "node_726",
      "improvement_over_parent": null
    },
    "node_728": {
      "node_id": "node_728",
      "content": "MODIFICATION: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0082)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n  Mass: 152.72 kg\n  Factor of Safety: 0.42\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": 152.71568441703806,
      "fos_buckling": 0.42255235118652723,
      "fos_yielding": 3.0650082951291533,
      "deflection": 0.016261849077815776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.508)"
      },
      "parent_node_id": "node_727",
      "improvement_over_parent": null
    },
    "node_729": {
      "node_id": "node_729",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0105)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 192.20 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.2049336665133,
      "fos_buckling": 0.5154773130035728,
      "fos_yielding": 3.8533290091084065,
      "deflection": 0.012949779779356851,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_728",
      "improvement_over_parent": null
    },
    "node_730": {
      "node_id": "node_730",
      "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0105)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 195.53 kg\n  Factor of Safety: 0.59\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": 195.52672754783396,
      "fos_buckling": 0.5922308099780956,
      "fos_yielding": 3.852072238941679,
      "deflection": 0.012354543566890901,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.199)"
      },
      "parent_node_id": "node_729",
      "improvement_over_parent": null
    },
    "node_731": {
      "node_id": "node_731",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0105)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 228.30 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.30432229071945,
      "fos_buckling": 1.3091229723796172,
      "fos_yielding": 4.609328358007984,
      "deflection": 0.007179350155472304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_730",
      "improvement_over_parent": null
    },
    "node_732": {
      "node_id": "node_732",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_731",
      "improvement_over_parent": null
    },
    "node_733": {
      "node_id": "node_733",
      "content": "INITIAL DESIGN (Trace 105)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_734": {
      "node_id": "node_734",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 196.45 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.45136996952664,
      "fos_buckling": 0.9816547118138237,
      "fos_yielding": 4.58799177373156,
      "deflection": 0.010050734788105945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_733",
      "improvement_over_parent": null
    },
    "node_735": {
      "node_id": "node_735",
      "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 205.54 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.53901701598136,
      "fos_buckling": 0.980487622416293,
      "fos_yielding": 4.587203485855704,
      "deflection": 0.008820155417073379,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.529)"
      },
      "parent_node_id": "node_734",
      "improvement_over_parent": null
    },
    "node_736": {
      "node_id": "node_736",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63016514464167,
      "fos_buckling": 1.5259782076140729,
      "fos_yielding": 4.604200014424322,
      "deflection": 0.006969065002146974,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_735",
      "improvement_over_parent": null
    },
    "node_737": {
      "node_id": "node_737",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_736",
      "improvement_over_parent": null
    },
    "node_738": {
      "node_id": "node_738",
      "content": "INITIAL DESIGN (Trace 106)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0028)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 95.54 kg\n  Factor of Safety: 0.62\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": 95.54263145880762,
      "fos_buckling": 0.6219521050473146,
      "fos_yielding": 2.9952538891823393,
      "deflection": 0.02178917829488424,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_739": {
      "node_id": "node_739",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0028)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n\nPerformance:\n  Mass: 108.39 kg\n  Factor of Safety: 0.64\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": 108.38899420266789,
      "fos_buckling": 0.6356587023306869,
      "fos_yielding": 2.9952538891823393,
      "deflection": 0.017593389204036993,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003850)"
      },
      "parent_node_id": "node_738",
      "improvement_over_parent": null
    },
    "node_740": {
      "node_id": "node_740",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n\nPerformance:\n  Mass: 124.40 kg\n  Factor of Safety: 0.72\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": 124.40411381286371,
      "fos_buckling": 0.7172881743147762,
      "fos_yielding": 3.435427391242393,
      "deflection": 0.015346672402438147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_739",
      "improvement_over_parent": null
    },
    "node_741": {
      "node_id": "node_741",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n  Mass: 154.47 kg\n  Factor of Safety: 0.86\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": 154.4656226841641,
      "fos_buckling": 0.8621721675187201,
      "fos_yielding": 4.2598304780203,
      "deflection": 0.012386672404181724,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_740",
      "improvement_over_parent": null
    },
    "node_742": {
      "node_id": "node_742",
      "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n  Mass: 162.58 kg\n  Factor of Safety: 0.86\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": 162.58081522938005,
      "fos_buckling": 0.861251791576408,
      "fos_yielding": 4.2598304780203,
      "deflection": 0.010774138105756887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.572)"
      },
      "parent_node_id": "node_741",
      "improvement_over_parent": null
    },
    "node_743": {
      "node_id": "node_743",
      "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n  Mass: 167.61 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.60605242152593,
      "fos_buckling": 0.8606828441433922,
      "fos_yielding": 4.2598304780203,
      "deflection": 0.010482256431654475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.299)"
      },
      "parent_node_id": "node_742",
      "improvement_over_parent": null
    },
    "node_744": {
      "node_id": "node_744",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 202.56 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.55586026120037,
      "fos_buckling": 1.0043100294675882,
      "fos_yielding": 5.146039065790433,
      "deflection": 0.008710521970732974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_743",
      "improvement_over_parent": null
    },
    "node_745": {
      "node_id": "node_745",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6751552387013,
      "fos_buckling": 1.526160246988245,
      "fos_yielding": 4.604824452493901,
      "deflection": 0.006967594102846215,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_744",
      "improvement_over_parent": null
    },
    "node_746": {
      "node_id": "node_746",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 107)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 109.81 kg\n  Factor of Safety: 0.36\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": 109.81447312117453,
      "fos_buckling": 0.35821614844103133,
      "fos_yielding": 1.9429747471170533,
      "deflection": 0.025397384185864635,
      "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 5 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 110.29 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.44e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.29488187956244,
      "fos_buckling": 0.45422006062321496,
      "fos_yielding": 2.062919632035556,
      "deflection": 0.024375309312528442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.412)"
      },
      "parent_node_id": "node_747",
      "improvement_over_parent": null
    },
    "node_749": {
      "node_id": "node_749",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 128.15 kg\n  Factor of Safety: 0.52\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": 128.1519805822237,
      "fos_buckling": 0.5157494404578475,
      "fos_yielding": 2.400842436796265,
      "deflection": 0.0210265725203263,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_748",
      "improvement_over_parent": null
    },
    "node_750": {
      "node_id": "node_750",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 155.65 kg\n  Factor of Safety: 0.53\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": 155.65212512836123,
      "fos_buckling": 0.5344474244618035,
      "fos_yielding": 2.9063426410627335,
      "deflection": 0.014244861302316857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006723)"
      },
      "parent_node_id": "node_749",
      "improvement_over_parent": null
    },
    "node_751": {
      "node_id": "node_751",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n\nPerformance:\n  Mass: 182.83 kg\n  Factor of Safety: 1.10\n  Max Deflection: 8.86e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.8287587759262,
      "fos_buckling": 1.1033217718664015,
      "fos_yielding": 2.8859467660211773,
      "deflection": 0.008857283134673115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006683)"
      },
      "parent_node_id": "node_750",
      "improvement_over_parent": null
    },
    "node_752": {
      "node_id": "node_752",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 218.07 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.07277551179945,
      "fos_buckling": 1.2921876234256655,
      "fos_yielding": 3.4515182464227787,
      "deflection": 0.007451209591766249,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_751",
      "improvement_over_parent": null
    },
    "node_753": {
      "node_id": "node_753",
      "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 226.38 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.37970741039877,
      "fos_buckling": 1.2912700662983434,
      "fos_yielding": 3.4490673909048377,
      "deflection": 0.007072304338773333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.464)"
      },
      "parent_node_id": "node_752",
      "improvement_over_parent": null
    },
    "node_754": {
      "node_id": "node_754",
      "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6660473559345,
      "fos_buckling": 1.5261778686294651,
      "fos_yielding": 4.605303910157614,
      "deflection": 0.006967880980495311,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.377)"
      },
      "parent_node_id": "node_753",
      "improvement_over_parent": null
    },
    "node_755": {
      "node_id": "node_755",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_754",
      "improvement_over_parent": null
    },
    "node_756": {
      "node_id": "node_756",
      "content": "INITIAL DESIGN (Trace 108)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n\nPerformance:\n  Mass: 94.39 kg\n  Factor of Safety: 0.23\n  Max Deflection: 5.34e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 94.39132756933778,
      "fos_buckling": 0.22689994901400146,
      "fos_yielding": 1.2801789977574316,
      "deflection": 53392199453407.27,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_757": {
      "node_id": "node_757",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n\nPerformance:\n  Mass: 95.91 kg\n  Factor of Safety: 0.85\n  Max Deflection: 4.34e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 95.91046494327519,
      "fos_buckling": 0.8489144683209717,
      "fos_yielding": 2.226244056643966,
      "deflection": 43381763118287.31,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002331)"
      },
      "parent_node_id": "node_756",
      "improvement_over_parent": null
    },
    "node_758": {
      "node_id": "node_758",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n\nPerformance:\n  Mass: 112.23 kg\n  Factor of Safety: 0.42\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": 112.22808493949566,
      "fos_buckling": 0.4225518768294477,
      "fos_yielding": 2.7277661933618416,
      "deflection": 0.01985627562260291,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004429)"
      },
      "parent_node_id": "node_757",
      "improvement_over_parent": null
    },
    "node_759": {
      "node_id": "node_759",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n\nPerformance:\n  Mass: 132.86 kg\n  Factor of Safety: 0.72\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": 132.86082205986628,
      "fos_buckling": 0.7221616224953937,
      "fos_yielding": 2.91311169780477,
      "deflection": 0.012145444408161945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004980)"
      },
      "parent_node_id": "node_758",
      "improvement_over_parent": null
    },
    "node_760": {
      "node_id": "node_760",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n\nPerformance:\n  Mass: 171.19 kg\n  Factor of Safety: 0.91\n  Max Deflection: 9.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.1937778678547,
      "fos_buckling": 0.9130179058874357,
      "fos_yielding": 3.74529879299128,
      "deflection": 0.009458760691238929,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_759",
      "improvement_over_parent": null
    },
    "node_761": {
      "node_id": "node_761",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 209.16 kg\n  Factor of Safety: 1.09\n  Max Deflection: 7.77e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.15807476013956,
      "fos_buckling": 1.094363474178936,
      "fos_yielding": 4.565542294566662,
      "deflection": 0.007768176015004154,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_760",
      "improvement_over_parent": null
    },
    "node_762": {
      "node_id": "node_762",
      "content": "MODIFICATION: Increase 10 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0131)]\n\nPerformance:\n  Mass: 226.37 kg\n  Factor of Safety: 1.09\n  Max Deflection: 7.38e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.36841594193658,
      "fos_buckling": 1.0948646583436619,
      "fos_yielding": 4.562111656956609,
      "deflection": 0.007376636291779312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.623)"
      },
      "parent_node_id": "node_761",
      "improvement_over_parent": null
    },
    "node_763": {
      "node_id": "node_763",
      "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0131)]\n\nPerformance:\n  Mass: 233.09 kg\n  Factor of Safety: 1.17\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.09024442439613,
      "fos_buckling": 1.1666113728496679,
      "fos_yielding": 4.5074141085470325,
      "deflection": 0.007121253932455256,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.493)"
      },
      "parent_node_id": "node_762",
      "improvement_over_parent": null
    },
    "node_764": {
      "node_id": "node_764",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_763",
      "improvement_over_parent": null
    },
    "node_765": {
      "node_id": "node_765",
      "content": "INITIAL DESIGN (Trace 109)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 186.10 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.91e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.10169396807353,
      "fos_buckling": 1.0063628050598257,
      "fos_yielding": 5.143771275167358,
      "deflection": 0.009912050534855091,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_766": {
      "node_id": "node_766",
      "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 192.60 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.61e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.60398665741857,
      "fos_buckling": 1.0055052726149132,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.009614232804533742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.333)"
      },
      "parent_node_id": "node_765",
      "improvement_over_parent": null
    },
    "node_767": {
      "node_id": "node_767",
      "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 199.72 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.43e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.72075032410632,
      "fos_buckling": 1.004568376332672,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.009430660812350453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.422)"
      },
      "parent_node_id": "node_766",
      "improvement_over_parent": null
    },
    "node_768": {
      "node_id": "node_768",
      "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.97 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.97461575974987,
      "fos_buckling": 1.003746517545097,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.008714654273352485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.312)"
      },
      "parent_node_id": "node_767",
      "improvement_over_parent": null
    },
    "node_769": {
      "node_id": "node_769",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63391203659728,
      "fos_buckling": 1.5260061012455528,
      "fos_yielding": 4.604183256730417,
      "deflection": 0.00696893917673538,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_768",
      "improvement_over_parent": null
    },
    "node_770": {
      "node_id": "node_770",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 110)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 160.56 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.560061947907,
      "fos_buckling": 0.8335760102960342,
      "fos_yielding": 2.120433136209527,
      "deflection": 0.01002408331649707,
      "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 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 204.48 kg\n  Factor of Safety: 1.04\n  Max Deflection: 7.91e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.48308520815118,
      "fos_buckling": 1.0448453603915817,
      "fos_yielding": 2.7150724678148017,
      "deflection": 0.007905428647599145,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_771",
      "improvement_over_parent": null
    },
    "node_773": {
      "node_id": "node_773",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 225.34 kg\n  Factor of Safety: 1.14\n  Max Deflection: 7.19e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.33838360737167,
      "fos_buckling": 1.142610055587153,
      "fos_yielding": 3.000158950349518,
      "deflection": 0.007188569906281162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_772",
      "improvement_over_parent": null
    },
    "node_774": {
      "node_id": "node_774",
      "content": "MODIFICATION: Increase 6 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.13 kg\n  Factor of Safety: 1.51\n  Max Deflection: 7.02e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.12646786429207,
      "fos_buckling": 1.5143215734321962,
      "fos_yielding": 4.610034551124644,
      "deflection": 0.00702403885514675,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.605)"
      },
      "parent_node_id": "node_773",
      "improvement_over_parent": null
    },
    "node_775": {
      "node_id": "node_775",
      "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.52722528858362,
      "fos_buckling": 1.5254442973236282,
      "fos_yielding": 4.603228681622157,
      "deflection": 0.006972111402312143,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.222)"
      },
      "parent_node_id": "node_774",
      "improvement_over_parent": null
    },
    "node_776": {
      "node_id": "node_776",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_775",
      "improvement_over_parent": null
    },
    "node_777": {
      "node_id": "node_777",
      "content": "INITIAL DESIGN (Trace 111)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 140.61 kg\n  Factor of Safety: 0.48\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": 140.61198633961976,
      "fos_buckling": 0.47787168711142314,
      "fos_yielding": 3.6855653517230023,
      "deflection": 0.017049002279304216,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_778": {
      "node_id": "node_778",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n\nPerformance:\n  Mass: 159.29 kg\n  Factor of Safety: 0.48\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": 159.28740556165152,
      "fos_buckling": 0.47669717857970056,
      "fos_yielding": 3.6826915829129154,
      "deflection": 0.014761954000939282,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005800)"
      },
      "parent_node_id": "node_777",
      "improvement_over_parent": null
    },
    "node_779": {
      "node_id": "node_779",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 184.79 kg\n  Factor of Safety: 0.54\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": 184.7920456167305,
      "fos_buckling": 0.5407984923836838,
      "fos_yielding": 4.262616002639885,
      "deflection": 0.01275659379460011,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_778",
      "improvement_over_parent": null
    },
    "node_780": {
      "node_id": "node_780",
      "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0089)]\n\nPerformance:\n  Mass: 190.65 kg\n  Factor of Safety: 0.54\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": 190.64945674777974,
      "fos_buckling": 0.5403832690659509,
      "fos_yielding": 4.261575450016817,
      "deflection": 0.012657305242935181,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.307)"
      },
      "parent_node_id": "node_779",
      "improvement_over_parent": null
    },
    "node_781": {
      "node_id": "node_781",
      "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0089)]\n\nPerformance:\n  Mass: 193.88 kg\n  Factor of Safety: 0.62\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": 193.87864026311132,
      "fos_buckling": 0.6163505066564076,
      "fos_yielding": 4.259855598363749,
      "deflection": 0.012106598726088512,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.188)"
      },
      "parent_node_id": "node_780",
      "improvement_over_parent": null
    },
    "node_782": {
      "node_id": "node_782",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0089)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 226.27 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.14e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.2722599032296,
      "fos_buckling": 1.359162362543834,
      "fos_yielding": 4.5221010940175015,
      "deflection": 0.007140338534066358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_781",
      "improvement_over_parent": null
    },
    "node_783": {
      "node_id": "node_783",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 112)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n  Mass: 137.46 kg\n  Factor of Safety: 0.44\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": 137.45732410653946,
      "fos_buckling": 0.4433070418692385,
      "fos_yielding": 2.7246084195956852,
      "deflection": 0.017033079535969636,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_785": {
      "node_id": "node_785",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 156.01 kg\n  Factor of Safety: 0.49\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": 156.00523197393733,
      "fos_buckling": 0.49375932653135823,
      "fos_yielding": 3.0894423736365106,
      "deflection": 0.01503898414608903,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_784",
      "improvement_over_parent": null
    },
    "node_786": {
      "node_id": "node_786",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 182.25 kg\n  Factor of Safety: 1.27\n  Max Deflection: 8.66e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.25040325793833,
      "fos_buckling": 1.272173195428858,
      "fos_yielding": 3.6919311607923935,
      "deflection": 0.008659973003716258,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006393)"
      },
      "parent_node_id": "node_785",
      "improvement_over_parent": null
    },
    "node_787": {
      "node_id": "node_787",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.73 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.73204958783217,
      "fos_buckling": 1.5265891562613254,
      "fos_yielding": 4.60617587090709,
      "deflection": 0.006965982852558923,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_786",
      "improvement_over_parent": null
    },
    "node_788": {
      "node_id": "node_788",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_787",
      "improvement_over_parent": null
    },
    "node_789": {
      "node_id": "node_789",
      "content": "INITIAL DESIGN (Trace 113)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_790": {
      "node_id": "node_790",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n\nPerformance:\n  Mass: 113.84 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": 113.83876594130453,
      "fos_buckling": 0.44980903343365214,
      "fos_yielding": 2.596977883635003,
      "deflection": 0.016727976296443767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003914)"
      },
      "parent_node_id": "node_789",
      "improvement_over_parent": null
    },
    "node_791": {
      "node_id": "node_791",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n\nPerformance:\n  Mass: 128.81 kg\n  Factor of Safety: 0.74\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": 128.81453123604035,
      "fos_buckling": 0.7429597541579794,
      "fos_yielding": 2.293253263399946,
      "deflection": 0.012486470853794174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004090)"
      },
      "parent_node_id": "node_790",
      "improvement_over_parent": null
    },
    "node_792": {
      "node_id": "node_792",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 154.77 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.76540613446903,
      "fos_buckling": 0.8803590661972819,
      "fos_yielding": 2.756962679710212,
      "deflection": 0.010419201144546458,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_791",
      "improvement_over_parent": null
    },
    "node_793": {
      "node_id": "node_793",
      "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 158.89 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.89166991528256,
      "fos_buckling": 0.8810052145921441,
      "fos_yielding": 2.756165038762712,
      "deflection": 0.010188234230326462,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.192)"
      },
      "parent_node_id": "node_792",
      "improvement_over_parent": null
    },
    "node_794": {
      "node_id": "node_794",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0079)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 185.13 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.77e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.12660787001576,
      "fos_buckling": 1.0126731337886292,
      "fos_yielding": 3.21470239479422,
      "deflection": 0.008765846062549551,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_793",
      "improvement_over_parent": null
    },
    "node_795": {
      "node_id": "node_795",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 222.22 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.33e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.21706257540382,
      "fos_buckling": 1.1921757858766422,
      "fos_yielding": 3.8652745255727856,
      "deflection": 0.007327707511444495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_794",
      "improvement_over_parent": null
    },
    "node_796": {
      "node_id": "node_796",
      "content": "MODIFICATION: Increase 10 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0108)]\n\nPerformance:\n  Mass: 233.42 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.42405451498593,
      "fos_buckling": 1.2606335398419968,
      "fos_yielding": 3.823265797743939,
      "deflection": 0.007119808843956735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.517)"
      },
      "parent_node_id": "node_795",
      "improvement_over_parent": null
    },
    "node_797": {
      "node_id": "node_797",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_796",
      "improvement_over_parent": null
    },
    "node_798": {
      "node_id": "node_798",
      "content": "INITIAL DESIGN (Trace 114)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 121.91 kg\n  Factor of Safety: 0.68\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": 121.91414305740605,
      "fos_buckling": 0.6802507922432248,
      "fos_yielding": 2.9877564742832656,
      "deflection": 0.014433143954495492,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_799": {
      "node_id": "node_799",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 149.20 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.20108586660015,
      "fos_buckling": 0.8087006246391882,
      "fos_yielding": 3.6497633849606737,
      "deflection": 0.011832736854505093,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_798",
      "improvement_over_parent": null
    },
    "node_800": {
      "node_id": "node_800",
      "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 156.65 kg\n  Factor of Safety: 0.81\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": 156.64612598134002,
      "fos_buckling": 0.8079080996298778,
      "fos_yielding": 3.5896755602323207,
      "deflection": 0.011435437646614753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.645)"
      },
      "parent_node_id": "node_799",
      "improvement_over_parent": null
    },
    "node_801": {
      "node_id": "node_801",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 198.72 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.06e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.72315407274004,
      "fos_buckling": 0.9814137844261295,
      "fos_yielding": 4.544772271576998,
      "deflection": 0.009060178958171242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_800",
      "improvement_over_parent": null
    },
    "node_802": {
      "node_id": "node_802",
      "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 199.55 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.06e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.55014782912514,
      "fos_buckling": 0.9814137844261295,
      "fos_yielding": 4.544772271576998,
      "deflection": 0.009060178958171242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.256)"
      },
      "parent_node_id": "node_801",
      "improvement_over_parent": null
    },
    "node_803": {
      "node_id": "node_803",
      "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.60 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.6046734856537,
      "fos_buckling": 0.9806364236761758,
      "fos_yielding": 4.588205187256467,
      "deflection": 0.00881750900923665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.299)"
      },
      "parent_node_id": "node_802",
      "improvement_over_parent": null
    },
    "node_804": {
      "node_id": "node_804",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.695821614314,
      "fos_buckling": 1.5260115313568945,
      "fos_yielding": 4.605208489865307,
      "deflection": 0.006966920175903216,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_803",
      "improvement_over_parent": null
    },
    "node_805": {
      "node_id": "node_805",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_804",
      "improvement_over_parent": null
    },
    "node_806": {
      "node_id": "node_806",
      "content": "INITIAL DESIGN (Trace 115)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 156.25 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.96e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.24977259265836,
      "fos_buckling": 0.5561047386195394,
      "fos_yielding": 5.115973236325442,
      "deflection": 29626939035636.1,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_807": {
      "node_id": "node_807",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 181.37 kg\n  Factor of Safety: 0.50\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": 181.3690675701593,
      "fos_buckling": 0.4986256336381247,
      "fos_yielding": 3.853442243805636,
      "deflection": 0.038785072439565624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_806",
      "improvement_over_parent": null
    },
    "node_808": {
      "node_id": "node_808",
      "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 186.36 kg\n  Factor of Safety: 0.50\n  Max Deflection: 3.66e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.36196854974543,
      "fos_buckling": 0.4986256336381247,
      "fos_yielding": 3.8528123145205977,
      "deflection": 0.03658152345097686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.239)"
      },
      "parent_node_id": "node_807",
      "improvement_over_parent": null
    },
    "node_809": {
      "node_id": "node_809",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 219.14 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.13956329263092,
      "fos_buckling": 0.9994864906369889,
      "fos_yielding": 5.121236145482798,
      "deflection": 0.010590575034952766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_808",
      "improvement_over_parent": null
    },
    "node_810": {
      "node_id": "node_810",
      "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 225.26 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.2557967763,
      "fos_buckling": 0.9996953478649163,
      "fos_yielding": 5.122949027197728,
      "deflection": 0.010599094014668737,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.420)"
      },
      "parent_node_id": "node_809",
      "improvement_over_parent": null
    },
    "node_811": {
      "node_id": "node_811",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.64047908788615,
      "fos_buckling": 1.5259929423651977,
      "fos_yielding": 4.604193645017884,
      "deflection": 0.00696876103910751,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_810",
      "improvement_over_parent": null
    },
    "node_812": {
      "node_id": "node_812",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 116)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_814": {
      "node_id": "node_814",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n  Mass: 120.45 kg\n  Factor of Safety: 0.64\n  Max Deflection: 8.81e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.45378086530812,
      "fos_buckling": 0.6431446276270907,
      "fos_yielding": 3.6548753404219045,
      "deflection": 8808940906978.465,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005609)"
      },
      "parent_node_id": "node_813",
      "improvement_over_parent": null
    },
    "node_815": {
      "node_id": "node_815",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n  Mass: 146.21 kg\n  Factor of Safety: 0.81\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": 146.21184701822392,
      "fos_buckling": 0.8145976073922744,
      "fos_yielding": 4.092299001960398,
      "deflection": 0.013414677126122414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006308)"
      },
      "parent_node_id": "node_814",
      "improvement_over_parent": null
    },
    "node_816": {
      "node_id": "node_816",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n  Mass: 163.43 kg\n  Factor of Safety: 0.81\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": 163.43479893286502,
      "fos_buckling": 0.8127523312248276,
      "fos_yielding": 3.6531178352825227,
      "deflection": 0.011036127560499754,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005315)"
      },
      "parent_node_id": "node_815",
      "improvement_over_parent": null
    },
    "node_817": {
      "node_id": "node_817",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n\nPerformance:\n  Mass: 181.00 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.0011562178298,
      "fos_buckling": 1.2647681446026138,
      "fos_yielding": 3.6668354869337154,
      "deflection": 0.008718525358326509,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005368)"
      },
      "parent_node_id": "node_816",
      "improvement_over_parent": null
    },
    "node_818": {
      "node_id": "node_818",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.4973987499107,
      "fos_buckling": 1.5252647376560695,
      "fos_yielding": 4.6015342180639704,
      "deflection": 0.006972992704821495,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_817",
      "improvement_over_parent": null
    },
    "node_819": {
      "node_id": "node_819",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 117)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n  Mass: 157.75 kg\n  Factor of Safety: 0.59\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": 157.75267310645876,
      "fos_buckling": 0.5908648940409155,
      "fos_yielding": 4.2323512710749025,
      "deflection": 0.016595261018781737,
      "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 0 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n  Mass: 165.00 kg\n  Factor of Safety: 0.62\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": 165.00472245011227,
      "fos_buckling": 0.6154658065325621,
      "fos_yielding": 4.175142844299641,
      "deflection": 0.015154535687227216,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.497)"
      },
      "parent_node_id": "node_820",
      "improvement_over_parent": null
    },
    "node_822": {
      "node_id": "node_822",
      "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n  Mass: 169.17 kg\n  Factor of Safety: 0.63\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": 169.1714598202889,
      "fos_buckling": 0.62736181870407,
      "fos_yielding": 4.149444011781924,
      "deflection": 0.014488722837774958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.200)"
      },
      "parent_node_id": "node_821",
      "improvement_over_parent": null
    },
    "node_823": {
      "node_id": "node_823",
      "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 178.26 kg\n  Factor of Safety: 0.85\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": 178.25807644537076,
      "fos_buckling": 0.8496812730799452,
      "fos_yielding": 4.2186411593426465,
      "deflection": 0.012871347029876891,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.548)"
      },
      "parent_node_id": "node_822",
      "improvement_over_parent": null
    },
    "node_824": {
      "node_id": "node_824",
      "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 184.99 kg\n  Factor of Safety: 0.85\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": 184.99398828013418,
      "fos_buckling": 0.8495187211079592,
      "fos_yielding": 4.214660649711545,
      "deflection": 0.012871361363114613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.522)"
      },
      "parent_node_id": "node_823",
      "improvement_over_parent": null
    },
    "node_825": {
      "node_id": "node_825",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n\nPerformance:\n  Mass: 186.95 kg\n  Factor of Safety: 1.30\n  Max Deflection: 8.45e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.95272017155938,
      "fos_buckling": 1.2995170364043427,
      "fos_yielding": 3.786975541864979,
      "deflection": 0.00844637423505183,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003057)"
      },
      "parent_node_id": "node_824",
      "improvement_over_parent": null
    },
    "node_826": {
      "node_id": "node_826",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.64221947628505,
      "fos_buckling": 1.525992490856967,
      "fos_yielding": 4.604839521357034,
      "deflection": 0.006968455350505628,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_825",
      "improvement_over_parent": null
    },
    "node_827": {
      "node_id": "node_827",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_826",
      "improvement_over_parent": null
    },
    "node_828": {
      "node_id": "node_828",
      "content": "INITIAL DESIGN (Trace 118)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 185.64 kg\n  Factor of Safety: 1.21\n  Max Deflection: 8.57e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.63804852041946,
      "fos_buckling": 1.2122949583620972,
      "fos_yielding": 4.078013136806344,
      "deflection": 0.00856924592460632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_829": {
      "node_id": "node_829",
      "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 192.23 kg\n  Factor of Safety: 1.21\n  Max Deflection: 8.19e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.23465334037996,
      "fos_buckling": 1.2050696605054267,
      "fos_yielding": 4.075783005112832,
      "deflection": 0.008187953952677912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.401)"
      },
      "parent_node_id": "node_828",
      "improvement_over_parent": null
    },
    "node_830": {
      "node_id": "node_830",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 220.30 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.17e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.29742109007327,
      "fos_buckling": 1.3588587828366663,
      "fos_yielding": 4.664646967296969,
      "deflection": 0.007167349729572724,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_829",
      "improvement_over_parent": null
    },
    "node_831": {
      "node_id": "node_831",
      "content": "MODIFICATION: Increase 3 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6761153737238,
      "fos_buckling": 1.526084187914706,
      "fos_yielding": 4.605323420158153,
      "deflection": 0.00696742174706318,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.567)"
      },
      "parent_node_id": "node_830",
      "improvement_over_parent": null
    },
    "node_832": {
      "node_id": "node_832",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_831",
      "improvement_over_parent": null
    },
    "node_833": {
      "node_id": "node_833",
      "content": "INITIAL DESIGN (Trace 119)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n\nPerformance:\n  Mass: 96.82 kg\n  Factor of Safety: 0.07\n  Max Deflection: 2.60e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 96.81802779709813,
      "fos_buckling": 0.07369023822879331,
      "fos_yielding": 0.7568559001533979,
      "deflection": 260101188515359.2,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_834": {
      "node_id": "node_834",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n\nPerformance:\n  Mass: 106.95 kg\n  Factor of Safety: 0.31\n  Max Deflection: 6.33e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 106.952415477906,
      "fos_buckling": 0.30659460899305097,
      "fos_yielding": 2.1980021901720854,
      "deflection": 0.0633405515181171,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003005)"
      },
      "parent_node_id": "node_833",
      "improvement_over_parent": null
    },
    "node_835": {
      "node_id": "node_835",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n\nPerformance:\n  Mass: 108.31 kg\n  Factor of Safety: 0.37\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": 108.30774967777454,
      "fos_buckling": 0.36684925426118997,
      "fos_yielding": 2.197806365796886,
      "deflection": 0.021236715709683895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002067)"
      },
      "parent_node_id": "node_834",
      "improvement_over_parent": null
    },
    "node_836": {
      "node_id": "node_836",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n  Mass: 124.29 kg\n  Factor of Safety: 0.41\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": 124.29130831181004,
      "fos_buckling": 0.41418237072080355,
      "fos_yielding": 2.5197874377783576,
      "deflection": 0.01854044330162545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_835",
      "improvement_over_parent": null
    },
    "node_837": {
      "node_id": "node_837",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n  Mass: 162.68 kg\n  Factor of Safety: 0.52\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": 162.67896258950594,
      "fos_buckling": 0.5208700481960109,
      "fos_yielding": 3.2905664848632274,
      "deflection": 0.014229314078199615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.333)"
      },
      "parent_node_id": "node_836",
      "improvement_over_parent": null
    },
    "node_838": {
      "node_id": "node_838",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 190.63 kg\n  Factor of Safety: 1.30\n  Max Deflection: 8.26e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.62547773389272,
      "fos_buckling": 1.3032174450212293,
      "fos_yielding": 3.9314332968694363,
      "deflection": 0.008255974361907004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006841)"
      },
      "parent_node_id": "node_837",
      "improvement_over_parent": null
    },
    "node_839": {
      "node_id": "node_839",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 194.81 kg\n  Factor of Safety: 1.30\n  Max Deflection: 8.16e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.8098730510528,
      "fos_buckling": 1.3013488115113567,
      "fos_yielding": 3.909983606739034,
      "deflection": 0.008157662326835916,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.250)"
      },
      "parent_node_id": "node_838",
      "improvement_over_parent": null
    },
    "node_840": {
      "node_id": "node_840",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0085)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 228.45 kg\n  Factor of Safety: 1.48\n  Max Deflection: 6.98e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.45432803498065,
      "fos_buckling": 1.4818688247192804,
      "fos_yielding": 4.581181213705768,
      "deflection": 0.0069811415682513615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_839",
      "improvement_over_parent": null
    },
    "node_841": {
      "node_id": "node_841",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_840",
      "improvement_over_parent": null
    },
    "node_842": {
      "node_id": "node_842",
      "content": "INITIAL DESIGN (Trace 120)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0031)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n  Mass: 111.71 kg\n  Factor of Safety: 0.73\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": 111.70688280549618,
      "fos_buckling": 0.7273832958931156,
      "fos_yielding": 2.337612418825735,
      "deflection": 0.014124895183562965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_843": {
      "node_id": "node_843",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n  Mass: 123.97 kg\n  Factor of Safety: 0.80\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": 123.96803333434102,
      "fos_buckling": 0.8007890568239472,
      "fos_yielding": 2.592770453010022,
      "deflection": 0.01274484974893023,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_842",
      "improvement_over_parent": null
    },
    "node_844": {
      "node_id": "node_844",
      "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n  Mass: 127.70 kg\n  Factor of Safety: 0.93\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": 127.70022769380299,
      "fos_buckling": 0.9342079160419614,
      "fos_yielding": 2.5916325833738405,
      "deflection": 0.01228325574734136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.271)"
      },
      "parent_node_id": "node_843",
      "improvement_over_parent": null
    },
    "node_845": {
      "node_id": "node_845",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 165.32 kg\n  Factor of Safety: 1.17\n  Max Deflection: 9.53e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.32307565131717,
      "fos_buckling": 1.1710832417512105,
      "fos_yielding": 3.350896780781521,
      "deflection": 0.009528433809064844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_844",
      "improvement_over_parent": null
    },
    "node_846": {
      "node_id": "node_846",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 193.03 kg\n  Factor of Safety: 1.33\n  Max Deflection: 8.19e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.03257321157844,
      "fos_buckling": 1.3346196944479936,
      "fos_yielding": 3.9088632051340038,
      "deflection": 0.008186189462373202,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_845",
      "improvement_over_parent": null
    },
    "node_847": {
      "node_id": "node_847",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.83 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.82639553623613,
      "fos_buckling": 1.526989941339412,
      "fos_yielding": 4.608000597986824,
      "deflection": 0.006963166797983644,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_846",
      "improvement_over_parent": null
    },
    "node_848": {
      "node_id": "node_848",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_847",
      "improvement_over_parent": null
    },
    "node_849": {
      "node_id": "node_849",
      "content": "INITIAL DESIGN (Trace 121)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_850": {
      "node_id": "node_850",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 202.02 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.01645834631773,
      "fos_buckling": 0.9809396807241817,
      "fos_yielding": 4.587806023380328,
      "deflection": 0.008817302366464028,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_849",
      "improvement_over_parent": null
    },
    "node_851": {
      "node_id": "node_851",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63298725561233,
      "fos_buckling": 1.5259788749908192,
      "fos_yielding": 4.604199109896495,
      "deflection": 0.006968967111365604,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_850",
      "improvement_over_parent": null
    },
    "node_852": {
      "node_id": "node_852",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_851",
      "improvement_over_parent": null
    },
    "node_853": {
      "node_id": "node_853",
      "content": "INITIAL DESIGN (Trace 122)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\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_854": {
      "node_id": "node_854",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n\nPerformance:\n  Mass: 140.28 kg\n  Factor of Safety: 0.76\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": 140.2790245252258,
      "fos_buckling": 0.7646487042706575,
      "fos_yielding": 3.356860995073946,
      "deflection": 0.012247428236225873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.003360)"
      },
      "parent_node_id": "node_853",
      "improvement_over_parent": null
    },
    "node_855": {
      "node_id": "node_855",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n\nPerformance:\n  Mass: 160.26 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.26124879322984,
      "fos_buckling": 0.855116960569231,
      "fos_yielding": 3.8301405313562276,
      "deflection": 0.010749287584095733,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_854",
      "improvement_over_parent": null
    },
    "node_856": {
      "node_id": "node_856",
      "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n\nPerformance:\n  Mass: 170.44 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.44300057238075,
      "fos_buckling": 0.8539728241436805,
      "fos_yielding": 3.785419890337979,
      "deflection": 0.01049467338618095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.543)"
      },
      "parent_node_id": "node_855",
      "improvement_over_parent": null
    },
    "node_857": {
      "node_id": "node_857",
      "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n\nPerformance:\n  Mass: 176.28 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.28258104396042,
      "fos_buckling": 0.853318003529393,
      "fos_yielding": 3.8289937457666805,
      "deflection": 0.010198018357378293,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.350)"
      },
      "parent_node_id": "node_856",
      "improvement_over_parent": null
    },
    "node_858": {
      "node_id": "node_858",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n  Mass: 194.91 kg\n  Factor of Safety: 1.24\n  Max Deflection: 8.29e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.90951879026912,
      "fos_buckling": 1.2425118240363981,
      "fos_yielding": 3.8424852081621585,
      "deflection": 0.00829230979103494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005718)"
      },
      "parent_node_id": "node_857",
      "improvement_over_parent": null
    },
    "node_859": {
      "node_id": "node_859",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0110)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 231.03 kg\n  Factor of Safety: 1.43\n  Max Deflection: 7.02e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.03306279075562,
      "fos_buckling": 1.429156091422897,
      "fos_yielding": 4.554373126384043,
      "deflection": 0.0070170542425936535,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_858",
      "improvement_over_parent": null
    },
    "node_860": {
      "node_id": "node_860",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 123)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0021)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 104.88 kg\n  Factor of Safety: 0.31\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": 104.88018888537388,
      "fos_buckling": 0.30797771719510814,
      "fos_yielding": 3.11139368074591,
      "deflection": 0.02249694087069578,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_862": {
      "node_id": "node_862",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0021)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n\nPerformance:\n  Mass: 118.88 kg\n  Factor of Safety: 0.63\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": 118.8792899704604,
      "fos_buckling": 0.6292087396990422,
      "fos_yielding": 3.209190727221658,
      "deflection": 0.015253217043105904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004215)"
      },
      "parent_node_id": "node_861",
      "improvement_over_parent": null
    },
    "node_863": {
      "node_id": "node_863",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0023)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n\nPerformance:\n  Mass: 133.10 kg\n  Factor of Safety: 0.70\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": 133.10288952564485,
      "fos_buckling": 0.7010887591584597,
      "fos_yielding": 3.5903227364159123,
      "deflection": 0.01364246169852734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_862",
      "improvement_over_parent": null
    },
    "node_864": {
      "node_id": "node_864",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0023)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n\nPerformance:\n  Mass: 148.47 kg\n  Factor of Safety: 0.69\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": 148.47073522711486,
      "fos_buckling": 0.6858430079651057,
      "fos_yielding": 3.27897257734873,
      "deflection": 0.011272813181540518,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004705)"
      },
      "parent_node_id": "node_863",
      "improvement_over_parent": null
    },
    "node_865": {
      "node_id": "node_865",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0027)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n  Mass: 167.87 kg\n  Factor of Safety: 0.77\n  Max Deflection: 9.99e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.86905210082756,
      "fos_buckling": 0.7706831176662036,
      "fos_yielding": 3.7035276628500178,
      "deflection": 0.009985794253641857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_864",
      "improvement_over_parent": null
    },
    "node_866": {
      "node_id": "node_866",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 209.47 kg\n  Factor of Safety: 0.95\n  Max Deflection: 8.03e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.46975562334626,
      "fos_buckling": 0.9489547280579377,
      "fos_yielding": 4.610831408082739,
      "deflection": 0.008028942457979867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_865",
      "improvement_over_parent": null
    },
    "node_867": {
      "node_id": "node_867",
      "content": "MODIFICATION: Increase 7 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0114)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 222.34 kg\n  Factor of Safety: 0.95\n  Max Deflection: 7.86e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.34434254470776,
      "fos_buckling": 0.9456657462650779,
      "fos_yielding": 4.5566289575722445,
      "deflection": 0.007859799470346804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.600)"
      },
      "parent_node_id": "node_866",
      "improvement_over_parent": null
    },
    "node_868": {
      "node_id": "node_868",
      "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0170)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 236.69 kg\n  Factor of Safety: 0.94\n  Max Deflection: 7.76e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.69160938573575,
      "fos_buckling": 0.9429788376391758,
      "fos_yielding": 4.520515661732168,
      "deflection": 0.007758802765362527,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.490)"
      },
      "parent_node_id": "node_867",
      "improvement_over_parent": null
    },
    "node_869": {
      "node_id": "node_869",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_868",
      "improvement_over_parent": null
    },
    "node_870": {
      "node_id": "node_870",
      "content": "INITIAL DESIGN (Trace 124)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0035)]\n\nPerformance:\n  Mass: 142.80 kg\n  Factor of Safety: 0.53\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": 142.80397964924973,
      "fos_buckling": 0.525797928052166,
      "fos_yielding": 3.3638662636887533,
      "deflection": 0.017754222852814538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_871": {
      "node_id": "node_871",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n  Mass: 181.55 kg\n  Factor of Safety: 0.66\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": 181.5536455198933,
      "fos_buckling": 0.6561735244144836,
      "fos_yielding": 4.268159450174279,
      "deflection": 0.013980476599737657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_870",
      "improvement_over_parent": null
    },
    "node_872": {
      "node_id": "node_872",
      "content": "MODIFICATION: Increase 9 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 190.54 kg\n  Factor of Safety: 0.87\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": 190.53541673895134,
      "fos_buckling": 0.8710959505491523,
      "fos_yielding": 4.339795491324881,
      "deflection": 0.012503130545738357,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.517)"
      },
      "parent_node_id": "node_871",
      "improvement_over_parent": null
    },
    "node_873": {
      "node_id": "node_873",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 225.06 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.05956810536665,
      "fos_buckling": 0.9990443525144558,
      "fos_yielding": 5.118960189107751,
      "deflection": 0.01060858630724136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_872",
      "improvement_over_parent": null
    },
    "node_874": {
      "node_id": "node_874",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.44 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.4442504169528,
      "fos_buckling": 1.5247531307401414,
      "fos_yielding": 4.60055484609701,
      "deflection": 0.0069744812255348185,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_873",
      "improvement_over_parent": null
    },
    "node_875": {
      "node_id": "node_875",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_874",
      "improvement_over_parent": null
    },
    "node_876": {
      "node_id": "node_876",
      "content": "INITIAL DESIGN (Trace 125)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 132.81 kg\n  Factor of Safety: 0.75\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": 132.81099973052176,
      "fos_buckling": 0.7458767191689808,
      "fos_yielding": 2.2719213700441085,
      "deflection": 0.01636331995853765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_877": {
      "node_id": "node_877",
      "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 138.27 kg\n  Factor of Safety: 0.75\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": 138.27232237022898,
      "fos_buckling": 0.7464246048245299,
      "fos_yielding": 2.2719213700441085,
      "deflection": 0.014987765564509155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.410)"
      },
      "parent_node_id": "node_876",
      "improvement_over_parent": null
    },
    "node_878": {
      "node_id": "node_878",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n\nPerformance:\n  Mass: 153.50 kg\n  Factor of Safety: 0.74\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": 153.49592574895084,
      "fos_buckling": 0.7378075647658034,
      "fos_yielding": 2.279575815166317,
      "deflection": 0.015016885230832364,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004658)"
      },
      "parent_node_id": "node_877",
      "improvement_over_parent": null
    },
    "node_879": {
      "node_id": "node_879",
      "content": "MODIFICATION: Increase 5 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0090)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n\nPerformance:\n  Mass: 166.45 kg\n  Factor of Safety: 0.77\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": 166.4475908359773,
      "fos_buckling": 0.7664500297095864,
      "fos_yielding": 2.2498657272956004,
      "deflection": 0.013588747531933667,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.631)"
      },
      "parent_node_id": "node_878",
      "improvement_over_parent": null
    },
    "node_880": {
      "node_id": "node_880",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0118)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n\nPerformance:\n  Mass: 213.01 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.00993390363482,
      "fos_buckling": 0.9459969266647066,
      "fos_yielding": 2.9036619754858566,
      "deflection": 0.010655277270928224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_879",
      "improvement_over_parent": null
    },
    "node_881": {
      "node_id": "node_881",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0118)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n  Mass: 215.16 kg\n  Factor of Safety: 1.03\n  Max Deflection: 7.57e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.16029085149282,
      "fos_buckling": 1.029420763743976,
      "fos_yielding": 2.6694463755335263,
      "deflection": 0.007569049442395051,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003382)"
      },
      "parent_node_id": "node_880",
      "improvement_over_parent": null
    },
    "node_882": {
      "node_id": "node_882",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0132)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 238.36 kg\n  Factor of Safety: 1.13\n  Max Deflection: 6.84e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.3602472010061,
      "fos_buckling": 1.1329315953049668,
      "fos_yielding": 2.9700539255481697,
      "deflection": 0.006844654865030099,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_881",
      "improvement_over_parent": null
    },
    "node_883": {
      "node_id": "node_883",
      "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0132)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0086)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 243.37 kg\n  Factor of Safety: 1.13\n  Max Deflection: 6.78e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.36562941717827,
      "fos_buckling": 1.1277088027183948,
      "fos_yielding": 2.956362034803525,
      "deflection": 0.006778196498605661,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.261)"
      },
      "parent_node_id": "node_882",
      "improvement_over_parent": null
    },
    "node_884": {
      "node_id": "node_884",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_883",
      "improvement_over_parent": null
    },
    "node_885": {
      "node_id": "node_885",
      "content": "INITIAL DESIGN (Trace 126)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 158.59 kg\n  Factor of Safety: 0.68\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": 158.59021646944754,
      "fos_buckling": 0.6831035892706081,
      "fos_yielding": 4.474592715150599,
      "deflection": 0.011708987008650282,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_886": {
      "node_id": "node_886",
      "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 166.30 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.30207540044495,
      "fos_buckling": 0.898183525355954,
      "fos_yielding": 4.474592715150599,
      "deflection": 0.010538460806786583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.401)"
      },
      "parent_node_id": "node_885",
      "improvement_over_parent": null
    },
    "node_887": {
      "node_id": "node_887",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 188.14 kg\n  Factor of Safety: 1.05\n  Max Deflection: 8.57e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.13890104258365,
      "fos_buckling": 1.04779846456346,
      "fos_yielding": 4.010510772187736,
      "deflection": 0.008570623506440653,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006116)"
      },
      "parent_node_id": "node_886",
      "improvement_over_parent": null
    },
    "node_888": {
      "node_id": "node_888",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 216.67 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.66916113271765,
      "fos_buckling": 1.188440628591314,
      "fos_yielding": 4.611843511988629,
      "deflection": 0.00746296456532335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_887",
      "improvement_over_parent": null
    },
    "node_889": {
      "node_id": "node_889",
      "content": "MODIFICATION: Increase 7 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.82 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.8226426573786,
      "fos_buckling": 1.5273924765567666,
      "fos_yielding": 4.607644095637854,
      "deflection": 0.0069632165446437775,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.575)"
      },
      "parent_node_id": "node_888",
      "improvement_over_parent": null
    },
    "node_890": {
      "node_id": "node_890",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_889",
      "improvement_over_parent": null
    },
    "node_891": {
      "node_id": "node_891",
      "content": "INITIAL DESIGN (Trace 127)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 198.12 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.12261646403235,
      "fos_buckling": 1.0048784269989723,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.00901589565548642,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_892": {
      "node_id": "node_892",
      "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 198.88 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.98e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.88036983949954,
      "fos_buckling": 1.0046790184159367,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.008979296853904346,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.511)"
      },
      "parent_node_id": "node_891",
      "improvement_over_parent": null
    },
    "node_893": {
      "node_id": "node_893",
      "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.96 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.9578140756868,
      "fos_buckling": 1.0037488235142331,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.00871493271344215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.307)"
      },
      "parent_node_id": "node_892",
      "improvement_over_parent": null
    },
    "node_894": {
      "node_id": "node_894",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6171103525342,
      "fos_buckling": 1.5259475788210546,
      "fos_yielding": 4.60422115811351,
      "deflection": 0.006969502247079787,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_893",
      "improvement_over_parent": null
    },
    "node_895": {
      "node_id": "node_895",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_894",
      "improvement_over_parent": null
    },
    "node_896": {
      "node_id": "node_896",
      "content": "INITIAL DESIGN (Trace 128)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 145.97 kg\n  Factor of Safety: 0.85\n  Max Deflection: 2.35e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.96671012925822,
      "fos_buckling": 0.8539934495377766,
      "fos_yielding": 4.082051674085544,
      "deflection": 23515252558362.367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_897": {
      "node_id": "node_897",
      "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 147.14 kg\n  Factor of Safety: 0.85\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": 147.14256389930623,
      "fos_buckling": 0.8539934495377766,
      "fos_yielding": 4.082051674085544,
      "deflection": 23515252558362.367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.404)"
      },
      "parent_node_id": "node_896",
      "improvement_over_parent": null
    },
    "node_898": {
      "node_id": "node_898",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 168.80 kg\n  Factor of Safety: 0.33\n  Max Deflection: 2.07e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.80186017615364,
      "fos_buckling": 0.3292170262832514,
      "fos_yielding": 1.8274376702109523,
      "deflection": 20695822712058.684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_897",
      "improvement_over_parent": null
    },
    "node_899": {
      "node_id": "node_899",
      "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0086)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 171.26 kg\n  Factor of Safety: 0.33\n  Max Deflection: 2.07e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.25945248283455,
      "fos_buckling": 0.3292170262832514,
      "fos_yielding": 1.8274376702109523,
      "deflection": 20695822712058.684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.570)"
      },
      "parent_node_id": "node_898",
      "improvement_over_parent": null
    },
    "node_900": {
      "node_id": "node_900",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0086)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 203.65 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.75e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.65307212295284,
      "fos_buckling": 0.9811332482975665,
      "fos_yielding": 6.263321857782736,
      "deflection": 0.008746775575756028,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_899",
      "improvement_over_parent": null
    },
    "node_901": {
      "node_id": "node_901",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0086)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 229.27 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.26960103224744,
      "fos_buckling": 1.2901027262022178,
      "fos_yielding": 5.371961807924119,
      "deflection": 0.007002784576758093,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_900",
      "improvement_over_parent": null
    },
    "node_902": {
      "node_id": "node_902",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_901",
      "improvement_over_parent": null
    },
    "node_903": {
      "node_id": "node_903",
      "content": "INITIAL DESIGN (Trace 129)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0029)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0028)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n\nPerformance:\n  Mass: 98.25 kg\n  Factor of Safety: 0.66\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": 98.25167807552802,
      "fos_buckling": 0.6626544351528864,
      "fos_yielding": 2.045935330905004,
      "deflection": 0.01599951863525962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_904": {
      "node_id": "node_904",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0036)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n  Mass: 124.23 kg\n  Factor of Safety: 0.82\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": 124.23387907828058,
      "fos_buckling": 0.8231130945467993,
      "fos_yielding": 2.5840834515185414,
      "deflection": 0.012689698804071278,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_903",
      "improvement_over_parent": null
    },
    "node_905": {
      "node_id": "node_905",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0042)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 143.17 kg\n  Factor of Safety: 0.94\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": 143.17258260944135,
      "fos_buckling": 0.9362138745424379,
      "fos_yielding": 2.975570317756289,
      "deflection": 0.011034064138838973,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_904",
      "improvement_over_parent": null
    },
    "node_906": {
      "node_id": "node_906",
      "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 146.66 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.65859781614733,
      "fos_buckling": 1.0557304628638782,
      "fos_yielding": 2.9745178612340957,
      "deflection": 0.010718434706909684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.212)"
      },
      "parent_node_id": "node_905",
      "improvement_over_parent": null
    },
    "node_907": {
      "node_id": "node_907",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 183.10 kg\n  Factor of Safety: 1.28\n  Max Deflection: 8.62e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.09998427080748,
      "fos_buckling": 1.277073555069343,
      "fos_yielding": 3.709033900525344,
      "deflection": 0.00862062196149113,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_906",
      "improvement_over_parent": null
    },
    "node_908": {
      "node_id": "node_908",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.62697805900189,
      "fos_buckling": 1.5259453079516054,
      "fos_yielding": 4.604065852303279,
      "deflection": 0.00696912037375743,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_907",
      "improvement_over_parent": null
    },
    "node_909": {
      "node_id": "node_909",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_908",
      "improvement_over_parent": null
    },
    "node_910": {
      "node_id": "node_910",
      "content": "INITIAL DESIGN (Trace 130)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_911": {
      "node_id": "node_911",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 205.97 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.97188222241053,
      "fos_buckling": 1.003746876482228,
      "fos_yielding": 5.143770618251928,
      "deflection": 0.008714548761923006,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_910",
      "improvement_over_parent": null
    },
    "node_912": {
      "node_id": "node_912",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63117849925794,
      "fos_buckling": 1.5259805252727332,
      "fos_yielding": 4.604198403842038,
      "deflection": 0.006969005084043683,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_911",
      "improvement_over_parent": null
    },
    "node_913": {
      "node_id": "node_913",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_912",
      "improvement_over_parent": null
    },
    "node_914": {
      "node_id": "node_914",
      "content": "INITIAL DESIGN (Trace 131)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 130.64 kg\n  Factor of Safety: 0.67\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": 130.63533460509151,
      "fos_buckling": 0.6704646717738006,
      "fos_yielding": 2.9234240418394375,
      "deflection": 0.013752557678533572,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_915": {
      "node_id": "node_915",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n\nPerformance:\n  Mass: 144.68 kg\n  Factor of Safety: 1.04\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.67528398707546,
      "fos_buckling": 1.0432308174478708,
      "fos_yielding": 2.9345160897932097,
      "deflection": 0.010862952039502632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004228)"
      },
      "parent_node_id": "node_914",
      "improvement_over_parent": null
    },
    "node_916": {
      "node_id": "node_916",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n\nPerformance:\n  Mass: 182.65 kg\n  Factor of Safety: 1.27\n  Max Deflection: 8.64e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.6530870554092,
      "fos_buckling": 1.2744643679413088,
      "fos_yielding": 3.70006952247517,
      "deflection": 0.008641294964874617,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_915",
      "improvement_over_parent": null
    },
    "node_917": {
      "node_id": "node_917",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7353582062454,
      "fos_buckling": 1.5265317095235507,
      "fos_yielding": 4.606280255099046,
      "deflection": 0.006965901362905751,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_916",
      "improvement_over_parent": null
    },
    "node_918": {
      "node_id": "node_918",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_917",
      "improvement_over_parent": null
    },
    "node_919": {
      "node_id": "node_919",
      "content": "INITIAL DESIGN (Trace 132)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n  Mass: 124.09 kg\n  Factor of Safety: 0.47\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": 124.08938590019008,
      "fos_buckling": 0.47365934316480396,
      "fos_yielding": 2.9337544293949707,
      "deflection": 0.017935294733197465,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_920": {
      "node_id": "node_920",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n  Mass: 146.46 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.4605508091193,
      "fos_buckling": 0.5440347373443515,
      "fos_yielding": 3.4567457702131583,
      "deflection": 0.015243413667270089,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_919",
      "improvement_over_parent": null
    },
    "node_921": {
      "node_id": "node_921",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 175.83 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.832276669243,
      "fos_buckling": 0.8982319857970981,
      "fos_yielding": 4.045795355447966,
      "deflection": 0.01028848775716431,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007220)"
      },
      "parent_node_id": "node_920",
      "improvement_over_parent": null
    },
    "node_922": {
      "node_id": "node_922",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n  Mass: 195.63 kg\n  Factor of Safety: 1.35\n  Max Deflection: 8.25e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.62579773321775,
      "fos_buckling": 1.348221064055942,
      "fos_yielding": 4.058967681032671,
      "deflection": 0.008253377653747219,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006107)"
      },
      "parent_node_id": "node_921",
      "improvement_over_parent": null
    },
    "node_923": {
      "node_id": "node_923",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 218.31 kg\n  Factor of Safety: 1.47\n  Max Deflection: 7.41e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.3067721310029,
      "fos_buckling": 1.473681273451864,
      "fos_yielding": 4.525221339719361,
      "deflection": 0.007412544629028079,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_922",
      "improvement_over_parent": null
    },
    "node_924": {
      "node_id": "node_924",
      "content": "MODIFICATION: Increase 1 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.4966985761081,
      "fos_buckling": 1.5254830147019018,
      "fos_yielding": 4.601242867496747,
      "deflection": 0.006973043616309349,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.529)"
      },
      "parent_node_id": "node_923",
      "improvement_over_parent": null
    },
    "node_925": {
      "node_id": "node_925",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_924",
      "improvement_over_parent": null
    },
    "node_926": {
      "node_id": "node_926",
      "content": "INITIAL DESIGN (Trace 133)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 130.99 kg\n  Factor of Safety: 0.44\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": 130.98856153207996,
      "fos_buckling": 0.4426969136539428,
      "fos_yielding": 3.5462205516630867,
      "deflection": 0.018554246801267972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_927": {
      "node_id": "node_927",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 158.29 kg\n  Factor of Safety: 0.52\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": 158.29358935924108,
      "fos_buckling": 0.5213411054993443,
      "fos_yielding": 4.272002632476978,
      "deflection": 0.015387334150492891,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_926",
      "improvement_over_parent": null
    },
    "node_928": {
      "node_id": "node_928",
      "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 165.05 kg\n  Factor of Safety: 0.52\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": 165.0521645275678,
      "fos_buckling": 0.5208776825847657,
      "fos_yielding": 4.268388666386004,
      "deflection": 0.014130172142894833,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.393)"
      },
      "parent_node_id": "node_927",
      "improvement_over_parent": null
    },
    "node_929": {
      "node_id": "node_929",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n\nPerformance:\n  Mass: 179.11 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.10578382882048,
      "fos_buckling": 0.5199166849318206,
      "fos_yielding": 4.265887320655008,
      "deflection": 0.012799798981852304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004279)"
      },
      "parent_node_id": "node_928",
      "improvement_over_parent": null
    },
    "node_930": {
      "node_id": "node_930",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 211.50 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.49940346893877,
      "fos_buckling": 1.3499866590110285,
      "fos_yielding": 4.666853248019578,
      "deflection": 0.0074636543308744295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_929",
      "improvement_over_parent": null
    },
    "node_931": {
      "node_id": "node_931",
      "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 215.95 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.28e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.94545336057516,
      "fos_buckling": 1.3455938403204024,
      "fos_yielding": 4.665457526234235,
      "deflection": 0.007275362532514233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.208)"
      },
      "parent_node_id": "node_930",
      "improvement_over_parent": null
    },
    "node_932": {
      "node_id": "node_932",
      "content": "MODIFICATION: Increase 3 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0082)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 218.16 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.19e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.15925564642689,
      "fos_buckling": 1.3479948645404398,
      "fos_yielding": 4.666221422799847,
      "deflection": 0.007189990249461871,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.592)"
      },
      "parent_node_id": "node_931",
      "improvement_over_parent": null
    },
    "node_933": {
      "node_id": "node_933",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0082)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 222.26 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.09e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.2577044964315,
      "fos_buckling": 1.3502078717150137,
      "fos_yielding": 4.666923315326061,
      "deflection": 0.0070857812009865245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.250)"
      },
      "parent_node_id": "node_932",
      "improvement_over_parent": null
    },
    "node_934": {
      "node_id": "node_934",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 134)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0025)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0027)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 110.92 kg\n  Factor of Safety: 0.27\n  Max Deflection: 2.51e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.9207712529757,
      "fos_buckling": 0.27047133253574945,
      "fos_yielding": 2.6739257125096443,
      "deflection": 0.025114046941637796,
      "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: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 142.98 kg\n  Factor of Safety: 0.34\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": 142.98300536930824,
      "fos_buckling": 0.34256541364596743,
      "fos_yielding": 3.4367753531300993,
      "deflection": 0.019490986139684915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_935",
      "improvement_over_parent": null
    },
    "node_937": {
      "node_id": "node_937",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 157.83 kg\n  Factor of Safety: 0.38\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": 157.829903002796,
      "fos_buckling": 0.37503142580706533,
      "fos_yielding": 3.7884090055674857,
      "deflection": 0.01765984130851887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_936",
      "improvement_over_parent": null
    },
    "node_938": {
      "node_id": "node_938",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 178.36 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.36249252731605,
      "fos_buckling": 0.41897506047717614,
      "fos_yielding": 4.272968890420909,
      "deflection": 0.01562857585970977,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_937",
      "improvement_over_parent": null
    },
    "node_939": {
      "node_id": "node_939",
      "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 187.33 kg\n  Factor of Safety: 0.42\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": 187.33474288450756,
      "fos_buckling": 0.41848209188028995,
      "fos_yielding": 4.268173027995373,
      "deflection": 0.013733009654240926,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.590)"
      },
      "parent_node_id": "node_938",
      "improvement_over_parent": null
    },
    "node_940": {
      "node_id": "node_940",
      "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 195.37 kg\n  Factor of Safety: 0.62\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": 195.36752463696328,
      "fos_buckling": 0.6163175803667266,
      "fos_yielding": 4.26388845639742,
      "deflection": 0.011892417250805866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.626)"
      },
      "parent_node_id": "node_939",
      "improvement_over_parent": null
    },
    "node_941": {
      "node_id": "node_941",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.76114427708157,
      "fos_buckling": 1.5266850210602108,
      "fos_yielding": 4.606907374717478,
      "deflection": 0.006965344056583568,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_940",
      "improvement_over_parent": null
    },
    "node_942": {
      "node_id": "node_942",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_941",
      "improvement_over_parent": null
    },
    "node_943": {
      "node_id": "node_943",
      "content": "INITIAL DESIGN (Trace 135)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 138.64 kg\n  Factor of Safety: 0.77\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": 138.63855806658944,
      "fos_buckling": 0.7697692371556929,
      "fos_yielding": 3.363564019076884,
      "deflection": 0.013336613258464658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_944": {
      "node_id": "node_944",
      "content": "MODIFICATION: Increase 1 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 145.67 kg\n  Factor of Safety: 0.77\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": 145.67263761847857,
      "fos_buckling": 0.7690554417773556,
      "fos_yielding": 3.4204020310106724,
      "deflection": 0.012759088746125706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.536)"
      },
      "parent_node_id": "node_943",
      "improvement_over_parent": null
    },
    "node_945": {
      "node_id": "node_945",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 162.87 kg\n  Factor of Safety: 0.84\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": 162.8670158430204,
      "fos_buckling": 0.8448049799023877,
      "fos_yielding": 3.8208459550458587,
      "deflection": 0.011430498874395933,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_944",
      "improvement_over_parent": null
    },
    "node_946": {
      "node_id": "node_946",
      "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 168.01 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.0145263312234,
      "fos_buckling": 0.8442333466576094,
      "fos_yielding": 3.8204736367840852,
      "deflection": 0.010559474669249136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.307)"
      },
      "parent_node_id": "node_945",
      "improvement_over_parent": null
    },
    "node_947": {
      "node_id": "node_947",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n\nPerformance:\n  Mass: 189.32 kg\n  Factor of Safety: 1.31\n  Max Deflection: 8.34e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.3177996106154,
      "fos_buckling": 1.3131061770603383,
      "fos_yielding": 3.8343720704381044,
      "deflection": 0.00834332397639962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005887)"
      },
      "parent_node_id": "node_946",
      "improvement_over_parent": null
    },
    "node_948": {
      "node_id": "node_948",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5884902883791,
      "fos_buckling": 1.5255801487371734,
      "fos_yielding": 4.603520002203029,
      "deflection": 0.006970258044813209,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_947",
      "improvement_over_parent": null
    },
    "node_949": {
      "node_id": "node_949",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_948",
      "improvement_over_parent": null
    },
    "node_950": {
      "node_id": "node_950",
      "content": "INITIAL DESIGN (Trace 136)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n\nPerformance:\n  Mass: 87.52 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.85e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 87.51807835854083,
      "fos_buckling": 1.258408505982332,
      "fos_yielding": 3.3042811087660353,
      "deflection": 78460767588324.39,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_951": {
      "node_id": "node_951",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n  Mass: 89.06 kg\n  Factor of Safety: 0.29\n  Max Deflection: 1.25e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 89.05508082541601,
      "fos_buckling": 0.2859943114666062,
      "fos_yielding": 2.3808495217163888,
      "deflection": 124869313427357.72,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002360)"
      },
      "parent_node_id": "node_950",
      "improvement_over_parent": null
    },
    "node_952": {
      "node_id": "node_952",
      "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n  Mass: 95.09 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.69e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 95.08860197180667,
      "fos_buckling": 0.6599945509469607,
      "fos_yielding": 3.1324485917031653,
      "deflection": 16916418428873.094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.524)"
      },
      "parent_node_id": "node_951",
      "improvement_over_parent": null
    },
    "node_953": {
      "node_id": "node_953",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n\nPerformance:\n  Mass: 109.05 kg\n  Factor of Safety: 0.41\n  Max Deflection: 2.11e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 109.04598502277075,
      "fos_buckling": 0.4106727883092419,
      "fos_yielding": 2.491613197780174,
      "deflection": 0.02110212637877586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004248)"
      },
      "parent_node_id": "node_952",
      "improvement_over_parent": null
    },
    "node_954": {
      "node_id": "node_954",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n  Mass: 137.14 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.68e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.13955133497961,
      "fos_buckling": 0.5001604885305307,
      "fos_yielding": 3.128987350147668,
      "deflection": 0.016834573051107467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_953",
      "improvement_over_parent": null
    },
    "node_955": {
      "node_id": "node_955",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n\nPerformance:\n  Mass: 157.91 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.9084103121499,
      "fos_buckling": 0.49879321768714724,
      "fos_yielding": 3.126856572894988,
      "deflection": 0.014860454196592666,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005728)"
      },
      "parent_node_id": "node_954",
      "improvement_over_parent": null
    },
    "node_956": {
      "node_id": "node_956",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 194.73 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.21e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.72761856497405,
      "fos_buckling": 0.5920640595443492,
      "fos_yielding": 3.8489890696253446,
      "deflection": 0.012099964876532417,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_955",
      "improvement_over_parent": null
    },
    "node_957": {
      "node_id": "node_957",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.50521330785955,
      "fos_buckling": 1.5259274570812211,
      "fos_yielding": 4.601308872941044,
      "deflection": 0.006972843703090123,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_956",
      "improvement_over_parent": null
    },
    "node_958": {
      "node_id": "node_958",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_957",
      "improvement_over_parent": null
    },
    "node_959": {
      "node_id": "node_959",
      "content": "INITIAL DESIGN (Trace 137)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.25 kg\n  Factor of Safety: 1.18\n  Max Deflection: 7.77e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.25100603510808,
      "fos_buckling": 1.1769612517327874,
      "fos_yielding": 4.598194511304769,
      "deflection": 0.007769360998941709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_960": {
      "node_id": "node_960",
      "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 211.76 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.55e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.7585767959968,
      "fos_buckling": 1.2456882984696176,
      "fos_yielding": 4.530472119911936,
      "deflection": 0.007552724834557032,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.458)"
      },
      "parent_node_id": "node_959",
      "improvement_over_parent": null
    },
    "node_961": {
      "node_id": "node_961",
      "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 212.36 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.50e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.3620139699386,
      "fos_buckling": 1.262045508177481,
      "fos_yielding": 4.655562286981602,
      "deflection": 0.007503972831370869,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.176)"
      },
      "parent_node_id": "node_960",
      "improvement_over_parent": null
    },
    "node_962": {
      "node_id": "node_962",
      "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 221.30 kg\n  Factor of Safety: 1.41\n  Max Deflection: 7.13e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.2952613825352,
      "fos_buckling": 1.413579600469174,
      "fos_yielding": 4.652630898060155,
      "deflection": 0.007132534454660905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.418)"
      },
      "parent_node_id": "node_961",
      "improvement_over_parent": null
    },
    "node_963": {
      "node_id": "node_963",
      "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.60161563528843,
      "fos_buckling": 1.525825868113473,
      "fos_yielding": 4.604301026028378,
      "deflection": 0.006969887585969808,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.451)"
      },
      "parent_node_id": "node_962",
      "improvement_over_parent": null
    },
    "node_964": {
      "node_id": "node_964",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_963",
      "improvement_over_parent": null
    },
    "node_965": {
      "node_id": "node_965",
      "content": "INITIAL DESIGN (Trace 138)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n  Mass: 110.19 kg\n  Factor of Safety: 0.82\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": 110.19201300182081,
      "fos_buckling": 0.8181156224778727,
      "fos_yielding": 2.237700287161661,
      "deflection": 0.014206680080947448,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_966": {
      "node_id": "node_966",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 141.22 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": 141.22135100132022,
      "fos_buckling": 1.0213384867011788,
      "fos_yielding": 2.864801991900378,
      "deflection": 0.01112427158284389,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_965",
      "improvement_over_parent": null
    },
    "node_967": {
      "node_id": "node_967",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 174.86 kg\n  Factor of Safety: 1.23\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.86018861125143,
      "fos_buckling": 1.2284361950336384,
      "fos_yielding": 3.543151338621866,
      "deflection": 0.00901846810839806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_966",
      "improvement_over_parent": null
    },
    "node_968": {
      "node_id": "node_968",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.74994472743876,
      "fos_buckling": 1.5266130342828086,
      "fos_yielding": 4.6065854864954865,
      "deflection": 0.006965460761122364,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_967",
      "improvement_over_parent": null
    },
    "node_969": {
      "node_id": "node_969",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_968",
      "improvement_over_parent": null
    },
    "node_970": {
      "node_id": "node_970",
      "content": "INITIAL DESIGN (Trace 139)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0026)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n\nPerformance:\n  Mass: 99.18 kg\n  Factor of Safety: 0.36\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": 99.18298339650389,
      "fos_buckling": 0.3584962477360396,
      "fos_yielding": 2.1411935125370434,
      "deflection": 0.024931236748254988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_971": {
      "node_id": "node_971",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0032)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n\nPerformance:\n  Mass: 117.99 kg\n  Factor of Safety: 0.42\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": 117.98891278908829,
      "fos_buckling": 0.4177801344280569,
      "fos_yielding": 2.543373272325178,
      "deflection": 0.020987804861083148,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_970",
      "improvement_over_parent": null
    },
    "node_972": {
      "node_id": "node_972",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n\nPerformance:\n  Mass: 153.03 kg\n  Factor of Safety: 0.52\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": 153.02538837945107,
      "fos_buckling": 0.5210186578483808,
      "fos_yielding": 3.289239551957806,
      "deflection": 0.016224923851900275,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_971",
      "improvement_over_parent": null
    },
    "node_973": {
      "node_id": "node_973",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 180.94 kg\n  Factor of Safety: 1.27\n  Max Deflection: 8.59e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.94168068603835,
      "fos_buckling": 1.269641148682932,
      "fos_yielding": 3.974631319593772,
      "deflection": 0.008591762560042557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006833)"
      },
      "parent_node_id": "node_972",
      "improvement_over_parent": null
    },
    "node_974": {
      "node_id": "node_974",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 212.74 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.33e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.7396491136973,
      "fos_buckling": 1.448414260750606,
      "fos_yielding": 4.663958127582071,
      "deflection": 0.007334617677471039,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_973",
      "improvement_over_parent": null
    },
    "node_975": {
      "node_id": "node_975",
      "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 220.43 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.15e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.43448636408752,
      "fos_buckling": 1.448385593928707,
      "fos_yielding": 4.607546540130623,
      "deflection": 0.007145249483770046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.484)"
      },
      "parent_node_id": "node_974",
      "improvement_over_parent": null
    },
    "node_976": {
      "node_id": "node_976",
      "content": "MODIFICATION: Increase 8 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.83 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.8321722594837,
      "fos_buckling": 1.5267108645695306,
      "fos_yielding": 4.608798128022899,
      "deflection": 0.006962897669599593,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.445)"
      },
      "parent_node_id": "node_975",
      "improvement_over_parent": null
    },
    "node_977": {
      "node_id": "node_977",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_976",
      "improvement_over_parent": null
    },
    "node_978": {
      "node_id": "node_978",
      "content": "INITIAL DESIGN (Trace 140)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\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_979": {
      "node_id": "node_979",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n\nPerformance:\n  Mass: 150.53 kg\n  Factor of Safety: 0.79\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": 150.52873640743806,
      "fos_buckling": 0.7885503279856098,
      "fos_yielding": 3.839954656701965,
      "deflection": 0.011645118289049778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004963)"
      },
      "parent_node_id": "node_978",
      "improvement_over_parent": null
    },
    "node_980": {
      "node_id": "node_980",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n  Mass: 180.77 kg\n  Factor of Safety: 0.92\n  Max Deflection: 9.73e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.77004227788296,
      "fos_buckling": 0.9189519566788062,
      "fos_yielding": 4.6096158324026355,
      "deflection": 0.009732269224683544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_979",
      "improvement_over_parent": null
    },
    "node_981": {
      "node_id": "node_981",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 201.67 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.75e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.66948396693982,
      "fos_buckling": 1.0037333252533154,
      "fos_yielding": 5.141164763217899,
      "deflection": 0.008745552879115952,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_980",
      "improvement_over_parent": null
    },
    "node_982": {
      "node_id": "node_982",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 226.79 kg\n  Factor of Safety: 1.41\n  Max Deflection: 7.08e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.78877894444076,
      "fos_buckling": 1.4121068516207536,
      "fos_yielding": 4.613627078202282,
      "deflection": 0.007075495362680649,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_981",
      "improvement_over_parent": null
    },
    "node_983": {
      "node_id": "node_983",
      "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0079)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 228.71 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.7065753397662,
      "fos_buckling": 1.3797511438574772,
      "fos_yielding": 5.365009325699897,
      "deflection": 0.006993142407038906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.439)"
      },
      "parent_node_id": "node_982",
      "improvement_over_parent": null
    },
    "node_984": {
      "node_id": "node_984",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_983",
      "improvement_over_parent": null
    },
    "node_985": {
      "node_id": "node_985",
      "content": "INITIAL DESIGN (Trace 141)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 178.97 kg\n  Factor of Safety: 0.59\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": 178.97382476860895,
      "fos_buckling": 0.5935150573642868,
      "fos_yielding": 3.618195840803517,
      "deflection": 0.014373012346957897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_986": {
      "node_id": "node_986",
      "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 184.68 kg\n  Factor of Safety: 0.59\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": 184.6839622721995,
      "fos_buckling": 0.5930705522548716,
      "fos_yielding": 3.6624814430360746,
      "deflection": 0.014134664475429232,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.235)"
      },
      "parent_node_id": "node_985",
      "improvement_over_parent": null
    },
    "node_987": {
      "node_id": "node_987",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 217.46 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.32e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.461557015085,
      "fos_buckling": 1.1936213961333682,
      "fos_yielding": 3.621453508599209,
      "deflection": 0.007322391689090046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_986",
      "improvement_over_parent": null
    },
    "node_988": {
      "node_id": "node_988",
      "content": "MODIFICATION: Increase 9 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 226.21 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.10e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.20513948418986,
      "fos_buckling": 1.1941694884842633,
      "fos_yielding": 3.62311642363543,
      "deflection": 0.007098784949723742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.585)"
      },
      "parent_node_id": "node_987",
      "improvement_over_parent": null
    },
    "node_989": {
      "node_id": "node_989",
      "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6439057584336,
      "fos_buckling": 1.5261110974342231,
      "fos_yielding": 4.604118028763813,
      "deflection": 0.006968808153456816,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.538)"
      },
      "parent_node_id": "node_988",
      "improvement_over_parent": null
    },
    "node_990": {
      "node_id": "node_990",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_989",
      "improvement_over_parent": null
    },
    "node_991": {
      "node_id": "node_991",
      "content": "INITIAL DESIGN (Trace 142)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_992": {
      "node_id": "node_992",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n\nPerformance:\n  Mass: 151.05 kg\n  Factor of Safety: 0.82\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": 151.0533183099216,
      "fos_buckling": 0.8211854141932501,
      "fos_yielding": 4.052389529706173,
      "deflection": 0.013411923203186987,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005549)"
      },
      "parent_node_id": "node_991",
      "improvement_over_parent": null
    },
    "node_993": {
      "node_id": "node_993",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 192.04 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.0370047107926,
      "fos_buckling": 1.0042075098396175,
      "fos_yielding": 5.1461855392552325,
      "deflection": 0.010586139477602338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_992",
      "improvement_over_parent": null
    },
    "node_994": {
      "node_id": "node_994",
      "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 200.15 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.1540403501362,
      "fos_buckling": 1.0031166609589997,
      "fos_yielding": 5.1461855392552325,
      "deflection": 0.010597527382497755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.637)"
      },
      "parent_node_id": "node_993",
      "improvement_over_parent": null
    },
    "node_995": {
      "node_id": "node_995",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 225.27 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.27333532763714,
      "fos_buckling": 0.9998435502089738,
      "fos_yielding": 5.123822320445804,
      "deflection": 0.010597728943467256,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_994",
      "improvement_over_parent": null
    },
    "node_996": {
      "node_id": "node_996",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6580176392233,
      "fos_buckling": 1.5261514329180117,
      "fos_yielding": 4.604985182788642,
      "deflection": 0.00696813654857214,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_995",
      "improvement_over_parent": null
    },
    "node_997": {
      "node_id": "node_997",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_996",
      "improvement_over_parent": null
    },
    "node_998": {
      "node_id": "node_998",
      "content": "INITIAL DESIGN (Trace 143)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0029)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 115.24 kg\n  Factor of Safety: 0.43\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": 115.24158643443198,
      "fos_buckling": 0.42892276647063815,
      "fos_yielding": 2.77603570555983,
      "deflection": 0.0213986540819497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_999": {
      "node_id": "node_999",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 148.25 kg\n  Factor of Safety: 0.53\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": 148.2482746176538,
      "fos_buckling": 0.5316341879127313,
      "fos_yielding": 3.5597651319053996,
      "deflection": 0.016672110540622394,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_998",
      "improvement_over_parent": null
    },
    "node_1000": {
      "node_id": "node_1000",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 178.29 kg\n  Factor of Safety: 0.62\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": 178.28563506650352,
      "fos_buckling": 0.6175359019697266,
      "fos_yielding": 4.268323866645985,
      "deflection": 0.013890634411721985,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_999",
      "improvement_over_parent": null
    },
    "node_1001": {
      "node_id": "node_1001",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 210.68 kg\n  Factor of Safety: 1.43\n  Max Deflection: 7.40e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.6792547066218,
      "fos_buckling": 1.4337930279700462,
      "fos_yielding": 4.665583053704495,
      "deflection": 0.007402641315113948,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1000",
      "improvement_over_parent": null
    },
    "node_1002": {
      "node_id": "node_1002",
      "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0125)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 225.93 kg\n  Factor of Safety: 1.43\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.92987308559148,
      "fos_buckling": 1.4341640036943624,
      "fos_yielding": 4.728275115358943,
      "deflection": 0.006988535754160828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.541)"
      },
      "parent_node_id": "node_1001",
      "improvement_over_parent": null
    },
    "node_1003": {
      "node_id": "node_1003",
      "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0125)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 234.59 kg\n  Factor of Safety: 1.43\n  Max Deflection: 6.83e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.59010189722306,
      "fos_buckling": 1.4300349712380267,
      "fos_yielding": 4.667364880902496,
      "deflection": 0.006825363669100552,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.565)"
      },
      "parent_node_id": "node_1002",
      "improvement_over_parent": null
    },
    "node_1004": {
      "node_id": "node_1004",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1003",
      "improvement_over_parent": null
    },
    "node_1005": {
      "node_id": "node_1005",
      "content": "INITIAL DESIGN (Trace 144)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n  Mass: 149.34 kg\n  Factor of Safety: 0.78\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": 149.33746790559056,
      "fos_buckling": 0.7833647849483286,
      "fos_yielding": 2.753666429169015,
      "deflection": 0.012113503177811631,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1006": {
      "node_id": "node_1006",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 173.38 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.38272051336486,
      "fos_buckling": 0.8871987294700312,
      "fos_yielding": 3.2015341983468195,
      "deflection": 0.01046190648014009,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_1005",
      "improvement_over_parent": null
    },
    "node_1007": {
      "node_id": "node_1007",
      "content": "MODIFICATION: Increase 5 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 174.28 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.28439043129546,
      "fos_buckling": 0.8871987294700311,
      "fos_yielding": 3.9998766883986145,
      "deflection": 0.010359500323607542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.276)"
      },
      "parent_node_id": "node_1006",
      "improvement_over_parent": null
    },
    "node_1008": {
      "node_id": "node_1008",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 197.68 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.16e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.67513542734278,
      "fos_buckling": 0.9820059173532716,
      "fos_yielding": 4.5316605807581345,
      "deflection": 0.009158477640765075,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_1007",
      "improvement_over_parent": null
    },
    "node_1009": {
      "node_id": "node_1009",
      "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.68 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.67801735507518,
      "fos_buckling": 0.9809777898566918,
      "fos_yielding": 4.593076068240116,
      "deflection": 0.008814139073262254,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.433)"
      },
      "parent_node_id": "node_1008",
      "improvement_over_parent": null
    },
    "node_1010": {
      "node_id": "node_1010",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7691654837355,
      "fos_buckling": 1.5268025405532917,
      "fos_yielding": 4.610091494214194,
      "deflection": 0.006964647930450305,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1009",
      "improvement_over_parent": null
    },
    "node_1011": {
      "node_id": "node_1011",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1010",
      "improvement_over_parent": null
    },
    "node_1012": {
      "node_id": "node_1012",
      "content": "INITIAL DESIGN (Trace 145)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 141.33 kg\n  Factor of Safety: 0.89\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": 141.32823461824506,
      "fos_buckling": 0.8859894806960454,
      "fos_yielding": 4.510653050464208,
      "deflection": 0.013674577878875972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1013": {
      "node_id": "node_1013",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 161.44 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.43607334399888,
      "fos_buckling": 0.9864205757061426,
      "fos_yielding": 5.1453111989855085,
      "deflection": 0.011999231392943715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_1012",
      "improvement_over_parent": null
    },
    "node_1014": {
      "node_id": "node_1014",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 183.53 kg\n  Factor of Safety: 1.01\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.5272214726592,
      "fos_buckling": 1.0069506850208505,
      "fos_yielding": 5.145311198985508,
      "deflection": 0.010440821743225694,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1013",
      "improvement_over_parent": null
    },
    "node_1015": {
      "node_id": "node_1015",
      "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 193.19 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.13e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.19095482740386,
      "fos_buckling": 1.0056755701113638,
      "fos_yielding": 5.145311198985506,
      "deflection": 0.009132835535078215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.570)"
      },
      "parent_node_id": "node_1014",
      "improvement_over_parent": null
    },
    "node_1016": {
      "node_id": "node_1016",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 214.85 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.36e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.8502511042513,
      "fos_buckling": 1.3644937810132727,
      "fos_yielding": 4.6025781719018015,
      "deflection": 0.007362313738523071,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1015",
      "improvement_over_parent": null
    },
    "node_1017": {
      "node_id": "node_1017",
      "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0123)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 229.41 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.01e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.40914581264457,
      "fos_buckling": 1.3646096608527085,
      "fos_yielding": 4.666027918539524,
      "deflection": 0.007013701219711764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.515)"
      },
      "parent_node_id": "node_1016",
      "improvement_over_parent": null
    },
    "node_1018": {
      "node_id": "node_1018",
      "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0171)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 243.92 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.81e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.91758986323202,
      "fos_buckling": 1.3636710764230005,
      "fos_yielding": 4.7038614740116484,
      "deflection": 0.006813292787134534,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.383)"
      },
      "parent_node_id": "node_1017",
      "improvement_over_parent": null
    },
    "node_1019": {
      "node_id": "node_1019",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1018",
      "improvement_over_parent": null
    },
    "node_1020": {
      "node_id": "node_1020",
      "content": "INITIAL DESIGN (Trace 146)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 210.57 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.61e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.56805832929314,
      "fos_buckling": 1.3802780061033588,
      "fos_yielding": 4.534295718792314,
      "deflection": 0.007608991835020179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1021": {
      "node_id": "node_1021",
      "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 214.07 kg\n  Factor of Safety: 1.42\n  Max Deflection: 7.50e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.07228773585857,
      "fos_buckling": 1.417623060039672,
      "fos_yielding": 4.511357317289359,
      "deflection": 0.007504438250212963,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.178)"
      },
      "parent_node_id": "node_1020",
      "improvement_over_parent": null
    },
    "node_1022": {
      "node_id": "node_1022",
      "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 220.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 7.28e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 220.62040400642022,
      "fos_buckling": 1.5253118098432459,
      "fos_yielding": 4.550236910322525,
      "deflection": 0.007278126740492371,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.274)"
      },
      "parent_node_id": "node_1021",
      "improvement_over_parent": null
    },
    "node_1023": {
      "node_id": "node_1023",
      "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.66055733150856,
      "fos_buckling": 1.5263039083153065,
      "fos_yielding": 4.604213538392007,
      "deflection": 0.006968213705297146,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.364)"
      },
      "parent_node_id": "node_1022",
      "improvement_over_parent": null
    },
    "node_1024": {
      "node_id": "node_1024",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1023",
      "improvement_over_parent": null
    },
    "node_1025": {
      "node_id": "node_1025",
      "content": "INITIAL DESIGN (Trace 147)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0023)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0030)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0019)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0031)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0028)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0032)]\n\nPerformance:\n  Mass: 87.79 kg\n  Factor of Safety: 0.64\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": 87.79396647934955,
      "fos_buckling": 0.6364789732869015,
      "fos_yielding": 1.910615893938692,
      "deflection": 0.017871777216935433,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1026": {
      "node_id": "node_1026",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0024)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n  Mass: 112.38 kg\n  Factor of Safety: 0.80\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": 112.37656500485096,
      "fos_buckling": 0.8020668926545708,
      "fos_yielding": 2.4423529610724666,
      "deflection": 0.013999910317056838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_1025",
      "improvement_over_parent": null
    },
    "node_1027": {
      "node_id": "node_1027",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 142.38 kg\n  Factor of Safety: 1.00\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": 142.3819731843734,
      "fos_buckling": 0.9967868271001188,
      "fos_yielding": 3.0893809578990186,
      "deflection": 0.01108576010003587,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_1026",
      "improvement_over_parent": null
    },
    "node_1028": {
      "node_id": "node_1028",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 175.85 kg\n  Factor of Safety: 1.20\n  Max Deflection: 9.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.8457248744308,
      "fos_buckling": 1.2044231204292335,
      "fos_yielding": 3.8082977700378473,
      "deflection": 0.009008710719558643,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_1027",
      "improvement_over_parent": null
    },
    "node_1029": {
      "node_id": "node_1029",
      "content": "MODIFICATION: Increase 3 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 180.84 kg\n  Factor of Safety: 1.29\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.83679916251774,
      "fos_buckling": 1.29263850021881,
      "fos_yielding": 3.7710992305637694,
      "deflection": 0.008820004913556822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.422)"
      },
      "parent_node_id": "node_1028",
      "improvement_over_parent": null
    },
    "node_1030": {
      "node_id": "node_1030",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 221.28 kg\n  Factor of Safety: 1.52\n  Max Deflection: 7.24e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 221.28381224575264,
      "fos_buckling": 1.5238601605034232,
      "fos_yielding": 4.606092227607292,
      "deflection": 0.007238779137269049,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_1029",
      "improvement_over_parent": null
    },
    "node_1031": {
      "node_id": "node_1031",
      "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.60006288488563,
      "fos_buckling": 1.5259087117924828,
      "fos_yielding": 4.603735807787536,
      "deflection": 0.006970051766143716,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.321)"
      },
      "parent_node_id": "node_1030",
      "improvement_over_parent": null
    },
    "node_1032": {
      "node_id": "node_1032",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1031",
      "improvement_over_parent": null
    },
    "node_1033": {
      "node_id": "node_1033",
      "content": "INITIAL DESIGN (Trace 148)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n  Mass: 107.69 kg\n  Factor of Safety: 0.58\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": 107.6910645889631,
      "fos_buckling": 0.577130031706355,
      "fos_yielding": 2.6927929190306235,
      "deflection": 0.01646992571892649,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1034": {
      "node_id": "node_1034",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 140.77 kg\n  Factor of Safety: 0.73\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": 140.77383350645434,
      "fos_buckling": 0.7312095646900881,
      "fos_yielding": 3.518529413644271,
      "deflection": 0.012650259054690837,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_1033",
      "improvement_over_parent": null
    },
    "node_1035": {
      "node_id": "node_1035",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 176.09 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.0871752972967,
      "fos_buckling": 0.8839068736409296,
      "fos_yielding": 4.399168683197499,
      "deflection": 0.010156730336559946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_1034",
      "improvement_over_parent": null
    },
    "node_1036": {
      "node_id": "node_1036",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n\nPerformance:\n  Mass: 206.22 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.70e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.22049354833197,
      "fos_buckling": 1.0047139597111379,
      "fos_yielding": 5.149999935526189,
      "deflection": 0.00870424207832225,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_1035",
      "improvement_over_parent": null
    },
    "node_1037": {
      "node_id": "node_1037",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.88 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.8797898251794,
      "fos_buckling": 1.527195639219062,
      "fos_yielding": 4.609912451895066,
      "deflection": 0.006961322924373011,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1036",
      "improvement_over_parent": null
    },
    "node_1038": {
      "node_id": "node_1038",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1037",
      "improvement_over_parent": null
    },
    "node_1039": {
      "node_id": "node_1039",
      "content": "INITIAL DESIGN (Trace 149)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n  Mass: 145.10 kg\n  Factor of Safety: 0.48\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": 145.1010054827503,
      "fos_buckling": 0.48231607853645986,
      "fos_yielding": 3.004193804952446,
      "deflection": 0.01759790379003282,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1040": {
      "node_id": "node_1040",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 170.60 kg\n  Factor of Safety: 1.15\n  Max Deflection: 9.25e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.599997616101,
      "fos_buckling": 1.151520990026978,
      "fos_yielding": 3.478790504034855,
      "deflection": 0.009254655498120948,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006198)"
      },
      "parent_node_id": "node_1039",
      "improvement_over_parent": null
    },
    "node_1041": {
      "node_id": "node_1041",
      "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 176.23 kg\n  Factor of Safety: 1.15\n  Max Deflection: 9.04e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.22800366799532,
      "fos_buckling": 1.1520550179621531,
      "fos_yielding": 3.4804038235712476,
      "deflection": 0.009036342307561564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.433)"
      },
      "parent_node_id": "node_1040",
      "improvement_over_parent": null
    },
    "node_1042": {
      "node_id": "node_1042",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 201.74 kg\n  Factor of Safety: 1.30\n  Max Deflection: 7.92e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.73678420875996,
      "fos_buckling": 1.2985826336626245,
      "fos_yielding": 3.987213144250312,
      "deflection": 0.00791524211854665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_1041",
      "improvement_over_parent": null
    },
    "node_1043": {
      "node_id": "node_1043",
      "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 202.06 kg\n  Factor of Safety: 1.30\n  Max Deflection: 7.86e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.05734984168453,
      "fos_buckling": 1.2963480502491085,
      "fos_yielding": 3.980352001857575,
      "deflection": 0.007864615340483695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.193)"
      },
      "parent_node_id": "node_1042",
      "improvement_over_parent": null
    },
    "node_1044": {
      "node_id": "node_1044",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 226.89 kg\n  Factor of Safety: 1.43\n  Max Deflection: 7.02e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.88951644385472,
      "fos_buckling": 1.433651698276378,
      "fos_yielding": 4.473364686147907,
      "deflection": 0.007022963411961738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_1043",
      "improvement_over_parent": null
    },
    "node_1045": {
      "node_id": "node_1045",
      "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.61921673072996,
      "fos_buckling": 1.5259533467111077,
      "fos_yielding": 4.603625028572278,
      "deflection": 0.006969590468343972,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.220)"
      },
      "parent_node_id": "node_1044",
      "improvement_over_parent": null
    },
    "node_1046": {
      "node_id": "node_1046",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1045",
      "improvement_over_parent": null
    },
    "node_1047": {
      "node_id": "node_1047",
      "content": "INITIAL DESIGN (Trace 150)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 85.93 kg\n  Factor of Safety: 0.70\n  Max Deflection: 5.72e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 85.93160818045101,
      "fos_buckling": 0.6979739210136806,
      "fos_yielding": 3.833058974033269,
      "deflection": 57231120552777.75,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1048": {
      "node_id": "node_1048",
      "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 86.97 kg\n  Factor of Safety: 0.70\n  Max Deflection: 5.72e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 86.9712068944603,
      "fos_buckling": 0.6979739210136806,
      "fos_yielding": 3.833058974033269,
      "deflection": 57231120552777.75,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.488)"
      },
      "parent_node_id": "node_1047",
      "improvement_over_parent": null
    },
    "node_1049": {
      "node_id": "node_1049",
      "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 91.96 kg\n  Factor of Safety: 0.93\n  Max Deflection: 9.52e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 91.96474126247037,
      "fos_buckling": 0.9300798058334158,
      "fos_yielding": 2.4464915308946567,
      "deflection": 95210278364692.67,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.397)"
      },
      "parent_node_id": "node_1048",
      "improvement_over_parent": null
    },
    "node_1050": {
      "node_id": "node_1050",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 119.31 kg\n  Factor of Safety: 0.20\n  Max Deflection: 3.48e+14 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.30992268975561,
      "fos_buckling": 0.20471864550167376,
      "fos_yielding": 0.3140309250599588,
      "deflection": 347949225775766.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_1049",
      "improvement_over_parent": null
    },
    "node_1051": {
      "node_id": "node_1051",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 140.28 kg\n  Factor of Safety: 0.31\n  Max Deflection: 1.93e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.2753735707973,
      "fos_buckling": 0.31015645912688256,
      "fos_yielding": 1.8274376702109523,
      "deflection": 19260113825321.547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_1050",
      "improvement_over_parent": null
    },
    "node_1052": {
      "node_id": "node_1052",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 173.05 kg\n  Factor of Safety: 1.71\n  Max Deflection: 9.09e+12 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 173.0529683136828,
      "fos_buckling": 1.7079958451231068,
      "fos_yielding": 5.295219602005878,
      "deflection": 9091659305470.016,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_1051",
      "improvement_over_parent": null
    },
    "node_1053": {
      "node_id": "node_1053",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 205.45 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.4465879538011,
      "fos_buckling": 0.9804824911296642,
      "fos_yielding": 4.581980147301649,
      "deflection": 0.008822810294630582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1052",
      "improvement_over_parent": null
    },
    "node_1054": {
      "node_id": "node_1054",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5377360824614,
      "fos_buckling": 1.5257056544602396,
      "fos_yielding": 4.598956938610138,
      "deflection": 0.0069718507199587705,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1053",
      "improvement_over_parent": null
    },
    "node_1055": {
      "node_id": "node_1055",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1054",
      "improvement_over_parent": null
    },
    "node_1056": {
      "node_id": "node_1056",
      "content": "INITIAL DESIGN (Trace 151)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 109.19 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.48e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 109.19277471658349,
      "fos_buckling": 0.4517413162090183,
      "fos_yielding": 1.7770357446686524,
      "deflection": 0.024795493770555014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1057": {
      "node_id": "node_1057",
      "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 110.49 kg\n  Factor of Safety: 0.45\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": 110.48959680415636,
      "fos_buckling": 0.45174131620901836,
      "fos_yielding": 2.677912938383353,
      "deflection": 0.024073818633882582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.597)"
      },
      "parent_node_id": "node_1056",
      "improvement_over_parent": null
    },
    "node_1058": {
      "node_id": "node_1058",
      "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 116.61 kg\n  Factor of Safety: 0.45\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": 116.60846018040714,
      "fos_buckling": 0.4513755336610362,
      "fos_yielding": 2.6779129383833498,
      "deflection": 0.024089739315113302,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.460)"
      },
      "parent_node_id": "node_1057",
      "improvement_over_parent": null
    },
    "node_1059": {
      "node_id": "node_1059",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n\nPerformance:\n  Mass: 139.86 kg\n  Factor of Safety: 0.45\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": 139.86227978070897,
      "fos_buckling": 0.44999081876705554,
      "fos_yielding": 2.7709400768518706,
      "deflection": 0.016744365938186793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005654)"
      },
      "parent_node_id": "node_1058",
      "improvement_over_parent": null
    },
    "node_1060": {
      "node_id": "node_1060",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n\nPerformance:\n  Mass: 169.46 kg\n  Factor of Safety: 0.53\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": 169.45735684394526,
      "fos_buckling": 0.529007918195947,
      "fos_yielding": 3.3524250245015166,
      "deflection": 0.013865590501842906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_1059",
      "improvement_over_parent": null
    },
    "node_1061": {
      "node_id": "node_1061",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 197.95 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.95442762054174,
      "fos_buckling": 1.362570559147342,
      "fos_yielding": 4.006620346783681,
      "deflection": 0.0079872527252767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006987)"
      },
      "parent_node_id": "node_1060",
      "improvement_over_parent": null
    },
    "node_1062": {
      "node_id": "node_1062",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.86 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.862168400113,
      "fos_buckling": 1.5270393321092068,
      "fos_yielding": 4.607312391609536,
      "deflection": 0.006962252833974882,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_1061",
      "improvement_over_parent": null
    },
    "node_1063": {
      "node_id": "node_1063",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1062",
      "improvement_over_parent": null
    },
    "node_1064": {
      "node_id": "node_1064",
      "content": "INITIAL DESIGN (Trace 152)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 129.13 kg\n  Factor of Safety: 0.05\n  Max Deflection: 5.51e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.1320095014196,
      "fos_buckling": 0.04829076816585346,
      "fos_yielding": 0.5343490536885525,
      "deflection": 551289655003315.2,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1065": {
      "node_id": "node_1065",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n  Mass: 148.72 kg\n  Factor of Safety: 0.26\n  Max Deflection: 2.77e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.71655135531535,
      "fos_buckling": 0.2575507635512185,
      "fos_yielding": 2.84986161967228,
      "deflection": 27726960307055.32,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006037)"
      },
      "parent_node_id": "node_1064",
      "improvement_over_parent": null
    },
    "node_1066": {
      "node_id": "node_1066",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n  Mass: 170.99 kg\n  Factor of Safety: 0.46\n  Max Deflection: 3.93e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.987585101736,
      "fos_buckling": 0.46199463427302534,
      "fos_yielding": 3.784164277397492,
      "deflection": 0.03932605931854828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006248)"
      },
      "parent_node_id": "node_1065",
      "improvement_over_parent": null
    },
    "node_1067": {
      "node_id": "node_1067",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n\nPerformance:\n  Mass: 173.10 kg\n  Factor of Safety: 0.56\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": 173.1022189227198,
      "fos_buckling": 0.5589435533232934,
      "fos_yielding": 3.7834966757582023,
      "deflection": 0.013390140545144584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003321)"
      },
      "parent_node_id": "node_1066",
      "improvement_over_parent": null
    },
    "node_1068": {
      "node_id": "node_1068",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n\nPerformance:\n  Mass: 201.82 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.84e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.82280338631767,
      "fos_buckling": 1.38462417526442,
      "fos_yielding": 4.085758575056477,
      "deflection": 0.007837399347990062,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007095)"
      },
      "parent_node_id": "node_1067",
      "improvement_over_parent": null
    },
    "node_1069": {
      "node_id": "node_1069",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.53893243825692,
      "fos_buckling": 1.5255084993575874,
      "fos_yielding": 4.602354696123978,
      "deflection": 0.006971740697153552,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_1068",
      "improvement_over_parent": null
    },
    "node_1070": {
      "node_id": "node_1070",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1069",
      "improvement_over_parent": null
    },
    "node_1071": {
      "node_id": "node_1071",
      "content": "INITIAL DESIGN (Trace 153)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n  Mass: 142.24 kg\n  Factor of Safety: 0.57\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": 142.24339571299478,
      "fos_buckling": 0.5677709017761821,
      "fos_yielding": 3.575721803227621,
      "deflection": 0.01347369934152034,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1072": {
      "node_id": "node_1072",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n  Mass: 162.60 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.60065920778158,
      "fos_buckling": 0.9387236279076306,
      "fos_yielding": 3.5888115939088787,
      "deflection": 0.010051405283755376,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005606)"
      },
      "parent_node_id": "node_1071",
      "improvement_over_parent": null
    },
    "node_1073": {
      "node_id": "node_1073",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n\nPerformance:\n  Mass: 181.61 kg\n  Factor of Safety: 1.04\n  Max Deflection: 9.01e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.61351744538393,
      "fos_buckling": 1.0378057776586502,
      "fos_yielding": 4.0035196728884355,
      "deflection": 0.009014196155212423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_1072",
      "improvement_over_parent": null
    },
    "node_1074": {
      "node_id": "node_1074",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 204.94 kg\n  Factor of Safety: 1.16\n  Max Deflection: 8.00e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.9359164041217,
      "fos_buckling": 1.156295924193062,
      "fos_yielding": 4.5107181655857245,
      "deflection": 0.00800456651461162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_1073",
      "improvement_over_parent": null
    },
    "node_1075": {
      "node_id": "node_1075",
      "content": "MODIFICATION: Increase 10 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0118)]\n\nPerformance:\n  Mass: 218.83 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.75e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.8253895909058,
      "fos_buckling": 1.151952039735288,
      "fos_yielding": 4.511233514969487,
      "deflection": 0.00775344407055065,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.637)"
      },
      "parent_node_id": "node_1074",
      "improvement_over_parent": null
    },
    "node_1076": {
      "node_id": "node_1076",
      "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0118)]\n\nPerformance:\n  Mass: 229.49 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.34e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.49098647527737,
      "fos_buckling": 1.1546772878875111,
      "fos_yielding": 4.5075593011500725,
      "deflection": 0.007344341003882563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.538)"
      },
      "parent_node_id": "node_1075",
      "improvement_over_parent": null
    },
    "node_1077": {
      "node_id": "node_1077",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1076",
      "improvement_over_parent": null
    },
    "node_1078": {
      "node_id": "node_1078",
      "content": "INITIAL DESIGN (Trace 154)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 176.57 kg\n  Factor of Safety: 0.84\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": 176.5695756621892,
      "fos_buckling": 0.8418207840686615,
      "fos_yielding": 3.090191945350363,
      "deflection": 0.012994314893736255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1079": {
      "node_id": "node_1079",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n  Mass: 178.15 kg\n  Factor of Safety: 1.08\n  Max Deflection: 8.91e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.14775543036586,
      "fos_buckling": 1.0799988521368835,
      "fos_yielding": 2.8145400443090436,
      "deflection": 0.008909837302241895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002427)"
      },
      "parent_node_id": "node_1078",
      "improvement_over_parent": null
    },
    "node_1080": {
      "node_id": "node_1080",
      "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0091)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n  Mass: 187.84 kg\n  Factor of Safety: 1.09\n  Max Deflection: 8.47e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.84098789650434,
      "fos_buckling": 1.0926070672363664,
      "fos_yielding": 2.847397788754367,
      "deflection": 0.008474901323178739,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.404)"
      },
      "parent_node_id": "node_1079",
      "improvement_over_parent": null
    },
    "node_1081": {
      "node_id": "node_1081",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0114)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n  Mass: 230.71 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.93e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.71381690368707,
      "fos_buckling": 1.3159438058235757,
      "fos_yielding": 3.5130766148604855,
      "deflection": 0.0069300117965821455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_1080",
      "improvement_over_parent": null
    },
    "node_1082": {
      "node_id": "node_1082",
      "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0114)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n  Mass: 231.56 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.87e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 231.56111532925866,
      "fos_buckling": 1.5221258683165577,
      "fos_yielding": 4.293019101067837,
      "deflection": 0.006870307867658709,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.247)"
      },
      "parent_node_id": "node_1081",
      "improvement_over_parent": null
    },
    "node_1083": {
      "node_id": "node_1083",
      "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0112)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0114)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n  Mass: 242.41 kg\n  Factor of Safety: 1.56\n  Max Deflection: 6.59e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 242.40956059515258,
      "fos_buckling": 1.5604367721115884,
      "fos_yielding": 4.290311025451057,
      "deflection": 0.006588857289029754,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.383)"
      },
      "parent_node_id": "node_1082",
      "improvement_over_parent": null
    },
    "node_1084": {
      "node_id": "node_1084",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1083",
      "improvement_over_parent": null
    },
    "node_1085": {
      "node_id": "node_1085",
      "content": "INITIAL DESIGN (Trace 155)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1086": {
      "node_id": "node_1086",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 194.57 kg\n  Factor of Safety: 0.98\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": 194.5667677397189,
      "fos_buckling": 0.9822039703652221,
      "fos_yielding": 5.090372400955461,
      "deflection": 0.01171107928096056,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1085",
      "improvement_over_parent": null
    },
    "node_1087": {
      "node_id": "node_1087",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n\nPerformance:\n  Mass: 195.94 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.94269256282848,
      "fos_buckling": 0.9818498725261642,
      "fos_yielding": 4.600270346685825,
      "deflection": 0.009997553387668718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002100)"
      },
      "parent_node_id": "node_1086",
      "improvement_over_parent": null
    },
    "node_1088": {
      "node_id": "node_1088",
      "content": "MODIFICATION: Increase 4 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0077)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n\nPerformance:\n  Mass: 197.72 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.92e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.7236315369239,
      "fos_buckling": 0.9818498725261638,
      "fos_yielding": 6.2001508499594165,
      "deflection": 0.009916293315054068,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.406)"
      },
      "parent_node_id": "node_1087",
      "improvement_over_parent": null
    },
    "node_1089": {
      "node_id": "node_1089",
      "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0099)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n\nPerformance:\n  Mass: 199.32 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.87e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.31738482968925,
      "fos_buckling": 0.9818498725261638,
      "fos_yielding": 6.26513896886249,
      "deflection": 0.009872469533141413,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.282)"
      },
      "parent_node_id": "node_1088",
      "improvement_over_parent": null
    },
    "node_1090": {
      "node_id": "node_1090",
      "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0099)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n\nPerformance:\n  Mass: 207.92 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.74e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.92137349918198,
      "fos_buckling": 0.9807443882973476,
      "fos_yielding": 6.2651389688624874,
      "deflection": 0.008738388703066173,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.488)"
      },
      "parent_node_id": "node_1089",
      "improvement_over_parent": null
    },
    "node_1091": {
      "node_id": "node_1091",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0099)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 230.01 kg\n  Factor of Safety: 1.16\n  Max Deflection: 7.03e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.0125216278423,
      "fos_buckling": 1.1563062728626567,
      "fos_yielding": 5.387275859692292,
      "deflection": 0.007033601784716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1090",
      "improvement_over_parent": null
    },
    "node_1092": {
      "node_id": "node_1092",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1091",
      "improvement_over_parent": null
    },
    "node_1093": {
      "node_id": "node_1093",
      "content": "INITIAL DESIGN (Trace 156)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 144.59 kg\n  Factor of Safety: 0.70\n  Max Deflection: 6.34e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.59281770147317,
      "fos_buckling": 0.6999610687249765,
      "fos_yielding": 3.9966207149520776,
      "deflection": 63430998561854.33,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1094": {
      "node_id": "node_1094",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 176.99 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.98643734159145,
      "fos_buckling": 0.8258353243080999,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.011453261422882123,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1093",
      "improvement_over_parent": null
    },
    "node_1095": {
      "node_id": "node_1095",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 199.08 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.45e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.07758547025176,
      "fos_buckling": 0.8234465620174635,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.009448649034352217,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1094",
      "improvement_over_parent": null
    },
    "node_1096": {
      "node_id": "node_1096",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 220.74 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.24e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.73688174709918,
      "fos_buckling": 1.3233097574372759,
      "fos_yielding": 4.556274545736182,
      "deflection": 0.0072425630167956365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1095",
      "improvement_over_parent": null
    },
    "node_1097": {
      "node_id": "node_1097",
      "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0088)]\n\nPerformance:\n  Mass: 226.32 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.13e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.31859289984808,
      "fos_buckling": 1.3658957085995604,
      "fos_yielding": 4.527365800719174,
      "deflection": 0.00713121758584911,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.292)"
      },
      "parent_node_id": "node_1096",
      "improvement_over_parent": null
    },
    "node_1098": {
      "node_id": "node_1098",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1097",
      "improvement_over_parent": null
    },
    "node_1099": {
      "node_id": "node_1099",
      "content": "INITIAL DESIGN (Trace 157)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 142.55 kg\n  Factor of Safety: 0.61\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": 142.5460714966277,
      "fos_buckling": 0.612650982399227,
      "fos_yielding": 3.3411170809315327,
      "deflection": 0.01701052086800877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1100": {
      "node_id": "node_1100",
      "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 145.53 kg\n  Factor of Safety: 0.69\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": 145.5305503099487,
      "fos_buckling": 0.6903703779510773,
      "fos_yielding": 3.321059694222034,
      "deflection": 0.01632296110329123,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.176)"
      },
      "parent_node_id": "node_1099",
      "improvement_over_parent": null
    },
    "node_1101": {
      "node_id": "node_1101",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n  Mass: 147.07 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.07124582866567,
      "fos_buckling": 1.0584140767200034,
      "fos_yielding": 2.983166818715345,
      "deflection": 0.010689009329915705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002366)"
      },
      "parent_node_id": "node_1100",
      "improvement_over_parent": null
    },
    "node_1102": {
      "node_id": "node_1102",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n  Mass: 184.82 kg\n  Factor of Safety: 1.29\n  Max Deflection: 8.54e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.81807411684008,
      "fos_buckling": 1.287215056847115,
      "fos_yielding": 3.7440153187609666,
      "deflection": 0.00854225427307244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_1101",
      "improvement_over_parent": null
    },
    "node_1103": {
      "node_id": "node_1103",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.73764676180483,
      "fos_buckling": 1.5266450401318599,
      "fos_yielding": 4.606763793406142,
      "deflection": 0.006965912464508479,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_1102",
      "improvement_over_parent": null
    },
    "node_1104": {
      "node_id": "node_1104",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1103",
      "improvement_over_parent": null
    },
    "node_1105": {
      "node_id": "node_1105",
      "content": "INITIAL DESIGN (Trace 158)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n  Mass: 108.01 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.61e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 108.01306734490745,
      "fos_buckling": 0.6407545871176338,
      "fos_yielding": 3.6548753404219045,
      "deflection": 16127510029239.363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1106": {
      "node_id": "node_1106",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 134.78 kg\n  Factor of Safety: 0.52\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": 134.77662628055683,
      "fos_buckling": 0.5236922992015945,
      "fos_yielding": 2.8545689900014315,
      "deflection": 0.016582152455889943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006529)"
      },
      "parent_node_id": "node_1105",
      "improvement_over_parent": null
    },
    "node_1107": {
      "node_id": "node_1107",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 135.43 kg\n  Factor of Safety: 0.52\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": 135.42504824631635,
      "fos_buckling": 0.5236922992015947,
      "fos_yielding": 3.488457038359382,
      "deflection": 0.016354950925136866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.239)"
      },
      "parent_node_id": "node_1106",
      "improvement_over_parent": null
    },
    "node_1108": {
      "node_id": "node_1108",
      "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 138.91 kg\n  Factor of Safety: 0.52\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": 138.9110165570467,
      "fos_buckling": 0.5234514075140154,
      "fos_yielding": 3.487948899404138,
      "deflection": 0.016362160614348486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.264)"
      },
      "parent_node_id": "node_1107",
      "improvement_over_parent": null
    },
    "node_1109": {
      "node_id": "node_1109",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 170.16 kg\n  Factor of Safety: 0.62\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": 170.15721126305638,
      "fos_buckling": 0.6181951816059822,
      "fos_yielding": 4.263834773232042,
      "deflection": 0.013406805441057506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_1108",
      "improvement_over_parent": null
    },
    "node_1110": {
      "node_id": "node_1110",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 202.55 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.55083090317467,
      "fos_buckling": 1.0043542085408952,
      "fos_yielding": 5.146296996238915,
      "deflection": 0.008710811458855902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1109",
      "improvement_over_parent": null
    },
    "node_1111": {
      "node_id": "node_1111",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6701258806756,
      "fos_buckling": 1.5262615325515967,
      "fos_yielding": 4.605035558170536,
      "deflection": 0.006967997837183486,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_1110",
      "improvement_over_parent": null
    },
    "node_1112": {
      "node_id": "node_1112",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1111",
      "improvement_over_parent": null
    },
    "node_1113": {
      "node_id": "node_1113",
      "content": "INITIAL DESIGN (Trace 159)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0029)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 127.18 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.01e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.18242513419008,
      "fos_buckling": 0.45369205861732814,
      "fos_yielding": 3.1221429482537526,
      "deflection": 0.020111042848298753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1114": {
      "node_id": "node_1114",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 152.92 kg\n  Factor of Safety: 0.54\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": 152.92208506516477,
      "fos_buckling": 0.5393375310807482,
      "fos_yielding": 3.7475869363163716,
      "deflection": 0.016736957711886057,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_1113",
      "improvement_over_parent": null
    },
    "node_1115": {
      "node_id": "node_1115",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n\nPerformance:\n  Mass: 154.63 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.62905595021823,
      "fos_buckling": 0.8721168535687788,
      "fos_yielding": 3.305134565813756,
      "deflection": 0.010401366265330156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002638)"
      },
      "parent_node_id": "node_1114",
      "improvement_over_parent": null
    },
    "node_1116": {
      "node_id": "node_1116",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0042)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n\nPerformance:\n  Mass: 181.79 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.87e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.79262034110843,
      "fos_buckling": 1.0109641343175637,
      "fos_yielding": 3.8803448092841357,
      "deflection": 0.008870980343278307,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_1115",
      "improvement_over_parent": null
    },
    "node_1117": {
      "node_id": "node_1117",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 216.35 kg\n  Factor of Safety: 1.18\n  Max Deflection: 7.48e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.3471389925129,
      "fos_buckling": 1.181409032213205,
      "fos_yielding": 4.609606985453842,
      "deflection": 0.0074793858299589434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_1116",
      "improvement_over_parent": null
    },
    "node_1118": {
      "node_id": "node_1118",
      "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0114)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 229.28 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.23e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.27850448214744,
      "fos_buckling": 1.2646710319848664,
      "fos_yielding": 4.610521098743979,
      "deflection": 0.0072309191775426105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.590)"
      },
      "parent_node_id": "node_1117",
      "improvement_over_parent": null
    },
    "node_1119": {
      "node_id": "node_1119",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1118",
      "improvement_over_parent": null
    },
    "node_1120": {
      "node_id": "node_1120",
      "content": "INITIAL DESIGN (Trace 160)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0021)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n\nPerformance:\n  Mass: 111.49 kg\n  Factor of Safety: 0.80\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": 111.49376382413593,
      "fos_buckling": 0.7990882734482332,
      "fos_yielding": 2.39911957600464,
      "deflection": 0.013951838584651047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1121": {
      "node_id": "node_1121",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 138.45 kg\n  Factor of Safety: 0.97\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": 138.45387769891758,
      "fos_buckling": 0.9693650492183521,
      "fos_yielding": 2.975509480067011,
      "deflection": 0.011269610385286411,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_1120",
      "improvement_over_parent": null
    },
    "node_1122": {
      "node_id": "node_1122",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 156.17 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.16526677304034,
      "fos_buckling": 1.0764596871548158,
      "fos_yielding": 3.353339003260085,
      "deflection": 0.010011569771007636,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_1121",
      "improvement_over_parent": null
    },
    "node_1123": {
      "node_id": "node_1123",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 185.59 kg\n  Factor of Safety: 1.25\n  Max Deflection: 8.45e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.58555856224416,
      "fos_buckling": 1.246076730396177,
      "fos_yielding": 3.9794608007537318,
      "deflection": 0.008452548047336753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_1122",
      "improvement_over_parent": null
    },
    "node_1124": {
      "node_id": "node_1124",
      "content": "MODIFICATION: Increase 9 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 193.52 kg\n  Factor of Safety: 1.34\n  Max Deflection: 8.17e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.51607011456605,
      "fos_buckling": 1.3374436923102424,
      "fos_yielding": 3.9185036943093627,
      "deflection": 0.008166311022994631,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.637)"
      },
      "parent_node_id": "node_1123",
      "improvement_over_parent": null
    },
    "node_1125": {
      "node_id": "node_1125",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.35 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.34707726637737,
      "fos_buckling": 1.5244964055247987,
      "fos_yielding": 4.598280618544169,
      "deflection": 0.0069775809883837366,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_1124",
      "improvement_over_parent": null
    },
    "node_1126": {
      "node_id": "node_1126",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1125",
      "improvement_over_parent": null
    },
    "node_1127": {
      "node_id": "node_1127",
      "content": "INITIAL DESIGN (Trace 161)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n\nPerformance:\n  Mass: 123.03 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.56e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.03297698521986,
      "fos_buckling": 1.3553059872761066,
      "fos_yielding": 3.5908962079807747,
      "deflection": 15614232199148.557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1128": {
      "node_id": "node_1128",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n  Mass: 145.81 kg\n  Factor of Safety: 0.39\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": 145.80533637997667,
      "fos_buckling": 0.3853734471925516,
      "fos_yielding": 2.691889430064891,
      "deflection": 0.01719628846496936,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006401)"
      },
      "parent_node_id": "node_1127",
      "improvement_over_parent": null
    },
    "node_1129": {
      "node_id": "node_1129",
      "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n  Mass: 146.86 kg\n  Factor of Safety: 0.39\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": 146.85788479083072,
      "fos_buckling": 0.3853734471925517,
      "fos_yielding": 3.4995851101059863,
      "deflection": 0.016890270730985597,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.326)"
      },
      "parent_node_id": "node_1128",
      "improvement_over_parent": null
    },
    "node_1130": {
      "node_id": "node_1130",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 176.57 kg\n  Factor of Safety: 0.91\n  Max Deflection: 9.93e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.5736233506387,
      "fos_buckling": 0.9072067011401229,
      "fos_yielding": 4.215331382161208,
      "deflection": 0.009933334051058116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007312)"
      },
      "parent_node_id": "node_1129",
      "improvement_over_parent": null
    },
    "node_1131": {
      "node_id": "node_1131",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 194.94 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.93844045599022,
      "fos_buckling": 0.9823251580857512,
      "fos_yielding": 4.649234392114548,
      "deflection": 0.009017932090137282,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_1130",
      "improvement_over_parent": null
    },
    "node_1132": {
      "node_id": "node_1132",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 220.55 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.16e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.55496936528482,
      "fos_buckling": 1.3696529073514354,
      "fos_yielding": 4.664208337348142,
      "deflection": 0.007158158199721769,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1131",
      "improvement_over_parent": null
    },
    "node_1133": {
      "node_id": "node_1133",
      "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7610669795931,
      "fos_buckling": 1.526814012560922,
      "fos_yielding": 4.606845091736647,
      "deflection": 0.006965060161349489,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.546)"
      },
      "parent_node_id": "node_1132",
      "improvement_over_parent": null
    },
    "node_1134": {
      "node_id": "node_1134",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1133",
      "improvement_over_parent": null
    },
    "node_1135": {
      "node_id": "node_1135",
      "content": "INITIAL DESIGN (Trace 162)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1136": {
      "node_id": "node_1136",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 205.97 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.97188222241053,
      "fos_buckling": 1.003746876482228,
      "fos_yielding": 5.143770618251928,
      "deflection": 0.008714548761923006,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_1135",
      "improvement_over_parent": null
    },
    "node_1137": {
      "node_id": "node_1137",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63117849925794,
      "fos_buckling": 1.5259805252727332,
      "fos_yielding": 4.604198403842038,
      "deflection": 0.006969005084043683,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1136",
      "improvement_over_parent": null
    },
    "node_1138": {
      "node_id": "node_1138",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1137",
      "improvement_over_parent": null
    },
    "node_1139": {
      "node_id": "node_1139",
      "content": "INITIAL DESIGN (Trace 163)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1140": {
      "node_id": "node_1140",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 131.39 kg\n  Factor of Safety: 0.16\n  Max Deflection: 1.79e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.38735936840723,
      "fos_buckling": 0.1641541937229567,
      "fos_yielding": 2.2068360508898,
      "deflection": 178618157484497.56,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005784)"
      },
      "parent_node_id": "node_1139",
      "improvement_over_parent": null
    },
    "node_1141": {
      "node_id": "node_1141",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 158.45 kg\n  Factor of Safety: 0.86\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": 158.44747819101596,
      "fos_buckling": 0.8599401126469144,
      "fos_yielding": 4.248701006385402,
      "deflection": 0.010929976995323606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006607)"
      },
      "parent_node_id": "node_1140",
      "improvement_over_parent": null
    },
    "node_1142": {
      "node_id": "node_1142",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n\nPerformance:\n  Mass: 176.33 kg\n  Factor of Safety: 1.19\n  Max Deflection: 8.80e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.33175060770566,
      "fos_buckling": 1.1883313930609989,
      "fos_yielding": 3.804354659472873,
      "deflection": 0.008798608992101524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005535)"
      },
      "parent_node_id": "node_1141",
      "improvement_over_parent": null
    },
    "node_1143": {
      "node_id": "node_1143",
      "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n\nPerformance:\n  Mass: 184.52 kg\n  Factor of Safety: 1.19\n  Max Deflection: 8.62e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.52101734044243,
      "fos_buckling": 1.1856778133383725,
      "fos_yielding": 3.7679028298109074,
      "deflection": 0.008620917874003153,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.441)"
      },
      "parent_node_id": "node_1142",
      "improvement_over_parent": null
    },
    "node_1144": {
      "node_id": "node_1144",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0103)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 223.40 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.15e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.39782373328595,
      "fos_buckling": 1.3881046151193814,
      "fos_yielding": 4.558136783476591,
      "deflection": 0.007147019854653223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_1143",
      "improvement_over_parent": null
    },
    "node_1145": {
      "node_id": "node_1145",
      "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0103)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 229.93 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.01e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.9261208573844,
      "fos_buckling": 1.44432090047444,
      "fos_yielding": 4.5591836312729495,
      "deflection": 0.007007403275207002,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.460)"
      },
      "parent_node_id": "node_1144",
      "improvement_over_parent": null
    },
    "node_1146": {
      "node_id": "node_1146",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1145",
      "improvement_over_parent": null
    },
    "node_1147": {
      "node_id": "node_1147",
      "content": "INITIAL DESIGN (Trace 164)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n  Mass: 105.85 kg\n  Factor of Safety: 0.32\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": 105.85179897096795,
      "fos_buckling": 0.32293883537843676,
      "fos_yielding": 1.8274376702109523,
      "deflection": 17969223962102.902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1148": {
      "node_id": "node_1148",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 131.11 kg\n  Factor of Safety: 0.50\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": 131.11282781107084,
      "fos_buckling": 0.49852941930078143,
      "fos_yielding": 3.296206646917239,
      "deflection": 0.017318055626253662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006136)"
      },
      "parent_node_id": "node_1147",
      "improvement_over_parent": null
    },
    "node_1149": {
      "node_id": "node_1149",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 146.75 kg\n  Factor of Safety: 0.55\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": 146.74639368841162,
      "fos_buckling": 0.5480083457253259,
      "fos_yielding": 3.685453653241553,
      "deflection": 0.015501666580058351,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_1148",
      "improvement_over_parent": null
    },
    "node_1150": {
      "node_id": "node_1150",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n\nPerformance:\n  Mass: 174.67 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.67067681163968,
      "fos_buckling": 0.8908024693713638,
      "fos_yielding": 4.439866605608638,
      "deflection": 0.01006640542980859,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006882)"
      },
      "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 (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 202.65 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.65323756499933,
      "fos_buckling": 1.0048130141530207,
      "fos_yielding": 5.149470358159231,
      "deflection": 0.008705974478318643,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_1150",
      "improvement_over_parent": null
    },
    "node_1152": {
      "node_id": "node_1152",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.77253254250027,
      "fos_buckling": 1.5267479243108486,
      "fos_yielding": 4.607994811683466,
      "deflection": 0.006964649573707344,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_1151",
      "improvement_over_parent": null
    },
    "node_1153": {
      "node_id": "node_1153",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1152",
      "improvement_over_parent": null
    },
    "node_1154": {
      "node_id": "node_1154",
      "content": "INITIAL DESIGN (Trace 165)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0026)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 132.32 kg\n  Factor of Safety: 0.76\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": 132.31921217860716,
      "fos_buckling": 0.7563819164460179,
      "fos_yielding": 2.911733006119194,
      "deflection": 0.012088013376958294,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1155": {
      "node_id": "node_1155",
      "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0026)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 138.54 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.53685051325476,
      "fos_buckling": 0.8832191228610418,
      "fos_yielding": 2.9097333233378033,
      "deflection": 0.011302261742121992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.462)"
      },
      "parent_node_id": "node_1154",
      "improvement_over_parent": null
    },
    "node_1156": {
      "node_id": "node_1156",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 158.46 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.90e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.4590971113841,
      "fos_buckling": 0.9992336805139053,
      "fos_yielding": 3.325208955505296,
      "deflection": 0.009903337801979566,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_1155",
      "improvement_over_parent": null
    },
    "node_1157": {
      "node_id": "node_1157",
      "content": "MODIFICATION: Increase 2 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 164.10 kg\n  Factor of Safety: 1.16\n  Max Deflection: 9.60e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.10481877558254,
      "fos_buckling": 1.1637432878321052,
      "fos_yielding": 3.326541526972326,
      "deflection": 0.009597778602189324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.585)"
      },
      "parent_node_id": "node_1156",
      "improvement_over_parent": null
    },
    "node_1158": {
      "node_id": "node_1158",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 202.39 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.82e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.39138592259934,
      "fos_buckling": 1.3878474102923868,
      "fos_yielding": 4.0973201697791835,
      "deflection": 0.007815823935354136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_1157",
      "improvement_over_parent": null
    },
    "node_1159": {
      "node_id": "node_1159",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.81 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.80767775699135,
      "fos_buckling": 1.5269638519675754,
      "fos_yielding": 4.6078930847447594,
      "deflection": 0.006963675280236388,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_1158",
      "improvement_over_parent": null
    },
    "node_1160": {
      "node_id": "node_1160",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1159",
      "improvement_over_parent": null
    },
    "node_1161": {
      "node_id": "node_1161",
      "content": "INITIAL DESIGN (Trace 166)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 128.41 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.4142582819833,
      "fos_buckling": 0.41791456276124733,
      "fos_yielding": 2.546491927612806,
      "deflection": 0.018214195685054786,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1162": {
      "node_id": "node_1162",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 150.01 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.01332125239136,
      "fos_buckling": 1.0767268328947124,
      "fos_yielding": 3.0422761115947936,
      "deflection": 0.010482745642788218,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005193)"
      },
      "parent_node_id": "node_1161",
      "improvement_over_parent": null
    },
    "node_1163": {
      "node_id": "node_1163",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 194.32 kg\n  Factor of Safety: 1.34\n  Max Deflection: 8.13e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.3231196946546,
      "fos_buckling": 1.3419694634026422,
      "fos_yielding": 3.9349646084464256,
      "deflection": 0.008133035480437046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_1162",
      "improvement_over_parent": null
    },
    "node_1164": {
      "node_id": "node_1164",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5826297089133,
      "fos_buckling": 1.5256463674736775,
      "fos_yielding": 4.603269205622616,
      "deflection": 0.006970460195274851,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_1163",
      "improvement_over_parent": null
    },
    "node_1165": {
      "node_id": "node_1165",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1164",
      "improvement_over_parent": null
    },
    "node_1166": {
      "node_id": "node_1166",
      "content": "INITIAL DESIGN (Trace 167)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 178.19 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.19088617165372,
      "fos_buckling": 0.9840082517768335,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.010713825047667588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1167": {
      "node_id": "node_1167",
      "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 183.89 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.89074316886712,
      "fos_buckling": 0.9832724033730907,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.010723281479202264,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.314)"
      },
      "parent_node_id": "node_1166",
      "improvement_over_parent": null
    },
    "node_1168": {
      "node_id": "node_1168",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 205.55 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.55003944571456,
      "fos_buckling": 0.9804862085356625,
      "fos_yielding": 4.587210546127292,
      "deflection": 0.008819936483016353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1167",
      "improvement_over_parent": null
    },
    "node_1169": {
      "node_id": "node_1169",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.64118757437487,
      "fos_buckling": 1.5259619538543243,
      "fos_yielding": 4.604208150813405,
      "deflection": 0.006968808957853521,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1168",
      "improvement_over_parent": null
    },
    "node_1170": {
      "node_id": "node_1170",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1169",
      "improvement_over_parent": null
    },
    "node_1171": {
      "node_id": "node_1171",
      "content": "INITIAL DESIGN (Trace 168)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 120.58 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.75e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.58066487177096,
      "fos_buckling": 0.24308899713550566,
      "fos_yielding": 2.6623990946803944,
      "deflection": 47479471371656.81,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1172": {
      "node_id": "node_1172",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n\nPerformance:\n  Mass: 138.52 kg\n  Factor of Safety: 0.73\n  Max Deflection: 4.30e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.52185899341782,
      "fos_buckling": 0.729266991406517,
      "fos_yielding": 4.23097182024157,
      "deflection": 42997293143570.01,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005554)"
      },
      "parent_node_id": "node_1171",
      "improvement_over_parent": null
    },
    "node_1173": {
      "node_id": "node_1173",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n\nPerformance:\n  Mass: 140.50 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.53e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.49722582209137,
      "fos_buckling": 0.9723559885420227,
      "fos_yielding": 3.5977639269392983,
      "deflection": 15322558684576.709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003085)"
      },
      "parent_node_id": "node_1172",
      "improvement_over_parent": null
    },
    "node_1174": {
      "node_id": "node_1174",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n\nPerformance:\n  Mass: 155.56 kg\n  Factor of Safety: 0.53\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": 155.56142158274713,
      "fos_buckling": 0.5287558709284471,
      "fos_yielding": 3.539863834427596,
      "deflection": 0.0160524317600792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004071)"
      },
      "parent_node_id": "node_1173",
      "improvement_over_parent": null
    },
    "node_1175": {
      "node_id": "node_1175",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n\nPerformance:\n  Mass: 187.82 kg\n  Factor of Safety: 0.62\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": 187.81646434043938,
      "fos_buckling": 0.616428620673052,
      "fos_yielding": 4.263322486438223,
      "deflection": 0.01332441624229114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1174",
      "improvement_over_parent": null
    },
    "node_1176": {
      "node_id": "node_1176",
      "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0098)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n\nPerformance:\n  Mass: 196.08 kg\n  Factor of Safety: 0.62\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": 196.07815817193335,
      "fos_buckling": 0.6157615321225368,
      "fos_yielding": 4.261854404764872,
      "deflection": 0.013220880639417775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.439)"
      },
      "parent_node_id": "node_1175",
      "improvement_over_parent": null
    },
    "node_1177": {
      "node_id": "node_1177",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0098)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 228.47 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.02e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.47177781205164,
      "fos_buckling": 1.4445537489579465,
      "fos_yielding": 4.5614596388421695,
      "deflection": 0.007024354526621798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1176",
      "improvement_over_parent": null
    },
    "node_1178": {
      "node_id": "node_1178",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1177",
      "improvement_over_parent": null
    },
    "node_1179": {
      "node_id": "node_1179",
      "content": "INITIAL DESIGN (Trace 169)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 166.30 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.296988253017,
      "fos_buckling": 0.8456764806426011,
      "fos_yielding": 3.5082349492743696,
      "deflection": 0.010780319766348594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1180": {
      "node_id": "node_1180",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.08 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.78e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.08459878782898,
      "fos_buckling": 1.0035188341030437,
      "fos_yielding": 4.334845212782113,
      "deflection": 0.00878173156312251,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_1179",
      "improvement_over_parent": null
    },
    "node_1181": {
      "node_id": "node_1181",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 226.74 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.03e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.7438950646764,
      "fos_buckling": 1.4013401335971567,
      "fos_yielding": 4.355364001886566,
      "deflection": 0.0070329925864587115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1180",
      "improvement_over_parent": null
    },
    "node_1182": {
      "node_id": "node_1182",
      "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.28 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.28455834178936,
      "fos_buckling": 1.398771666207574,
      "fos_yielding": 4.34738120731699,
      "deflection": 0.006985393033598248,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.256)"
      },
      "parent_node_id": "node_1181",
      "improvement_over_parent": null
    },
    "node_1183": {
      "node_id": "node_1183",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 170)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1185": {
      "node_id": "node_1185",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n\nPerformance:\n  Mass: 102.87 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 102.87178975693975,
      "fos_buckling": 0.6213180291659367,
      "fos_yielding": 2.9950948294750868,
      "deflection": 0.018218205540424078,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003850)"
      },
      "parent_node_id": "node_1184",
      "improvement_over_parent": null
    },
    "node_1186": {
      "node_id": "node_1186",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n\nPerformance:\n  Mass: 128.35 kg\n  Factor of Safety: 0.75\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": 128.3523145069654,
      "fos_buckling": 0.7540447958629403,
      "fos_yielding": 3.735698989960574,
      "deflection": 0.014651821499747811,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_1185",
      "improvement_over_parent": null
    },
    "node_1187": {
      "node_id": "node_1187",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n\nPerformance:\n  Mass: 146.93 kg\n  Factor of Safety: 0.77\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": 146.9333708798125,
      "fos_buckling": 0.7700854546205416,
      "fos_yielding": 3.735698989960574,
      "deflection": 0.011926386809557002,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005084)"
      },
      "parent_node_id": "node_1186",
      "improvement_over_parent": null
    },
    "node_1188": {
      "node_id": "node_1188",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n\nPerformance:\n  Mass: 170.08 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.08322200618449,
      "fos_buckling": 0.8713386541806553,
      "fos_yielding": 4.323114925916975,
      "deflection": 0.010332224600987816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_1187",
      "improvement_over_parent": null
    },
    "node_1189": {
      "node_id": "node_1189",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 202.75 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.70e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.7546417567524,
      "fos_buckling": 1.0051765327824849,
      "fos_yielding": 5.151601494285272,
      "deflection": 0.008701795545512998,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_1188",
      "improvement_over_parent": null
    },
    "node_1190": {
      "node_id": "node_1190",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.87 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.87393673425333,
      "fos_buckling": 1.5272081924940195,
      "fos_yielding": 4.6099509378595025,
      "deflection": 0.006961386135911685,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_1189",
      "improvement_over_parent": null
    },
    "node_1191": {
      "node_id": "node_1191",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1190",
      "improvement_over_parent": null
    },
    "node_1192": {
      "node_id": "node_1192",
      "content": "INITIAL DESIGN (Trace 171)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n  Mass: 110.16 kg\n  Factor of Safety: 0.82\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": 110.15500444527972,
      "fos_buckling": 0.8178662037088998,
      "fos_yielding": 2.2369515563313573,
      "deflection": 0.0142113932819262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1193": {
      "node_id": "node_1193",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 140.66 kg\n  Factor of Safety: 1.02\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": 140.65875416315777,
      "fos_buckling": 1.0177583594268906,
      "fos_yielding": 2.8534436876619993,
      "deflection": 0.011168053857458381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_1192",
      "improvement_over_parent": null
    },
    "node_1194": {
      "node_id": "node_1194",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 176.63 kg\n  Factor of Safety: 1.24\n  Max Deflection: 8.93e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.63297879453253,
      "fos_buckling": 1.2389718396101188,
      "fos_yielding": 3.5788579127875884,
      "deflection": 0.008929739685025669,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_1193",
      "improvement_over_parent": null
    },
    "node_1195": {
      "node_id": "node_1195",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.80 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.8011789215313,
      "fos_buckling": 1.5268857715204325,
      "fos_yielding": 4.607613787566616,
      "deflection": 0.006963934201315403,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_1194",
      "improvement_over_parent": null
    },
    "node_1196": {
      "node_id": "node_1196",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1195",
      "improvement_over_parent": null
    },
    "node_1197": {
      "node_id": "node_1197",
      "content": "INITIAL DESIGN (Trace 172)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 130.25 kg\n  Factor of Safety: 0.46\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": 130.25150069339574,
      "fos_buckling": 0.4634887418497129,
      "fos_yielding": 2.50870700467218,
      "deflection": 0.016795325733609638,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1198": {
      "node_id": "node_1198",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 157.94 kg\n  Factor of Safety: 0.55\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": 157.94175384086958,
      "fos_buckling": 0.545289852630525,
      "fos_yielding": 3.0482188407049953,
      "deflection": 0.013900924386572295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_1197",
      "improvement_over_parent": null
    },
    "node_1199": {
      "node_id": "node_1199",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n\nPerformance:\n  Mass: 185.76 kg\n  Factor of Safety: 1.15\n  Max Deflection: 8.78e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.7648059369417,
      "fos_buckling": 1.151351299875557,
      "fos_yielding": 3.027320378483838,
      "deflection": 0.008778101828827066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006855)"
      },
      "parent_node_id": "node_1198",
      "improvement_over_parent": null
    },
    "node_1200": {
      "node_id": "node_1200",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 216.48 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.55e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.48450626393952,
      "fos_buckling": 1.3193540999117406,
      "fos_yielding": 3.5352617881840693,
      "deflection": 0.0075540319800463905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_1199",
      "improvement_over_parent": null
    },
    "node_1201": {
      "node_id": "node_1201",
      "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 217.68 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.67994680323056,
      "fos_buckling": 1.4470191080629955,
      "fos_yielding": 4.610760605480523,
      "deflection": 0.007459923255645294,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.342)"
      },
      "parent_node_id": "node_1200",
      "improvement_over_parent": null
    },
    "node_1202": {
      "node_id": "node_1202",
      "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.78 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.78371700303984,
      "fos_buckling": 1.5268722865225857,
      "fos_yielding": 4.606547326108199,
      "deflection": 0.006964573307174392,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.621)"
      },
      "parent_node_id": "node_1201",
      "improvement_over_parent": null
    },
    "node_1203": {
      "node_id": "node_1203",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 173)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 161.68 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.82e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.6807567098234,
      "fos_buckling": 1.01041785240055,
      "fos_yielding": 3.38177534984023,
      "deflection": 0.009819919036971997,
      "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: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 182.73 kg\n  Factor of Safety: 1.13\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.72790528728126,
      "fos_buckling": 1.126176624489575,
      "fos_yielding": 3.8182943804910634,
      "deflection": 0.008708462387397383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_1204",
      "improvement_over_parent": null
    },
    "node_1206": {
      "node_id": "node_1206",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 220.61 kg\n  Factor of Safety: 1.33\n  Max Deflection: 7.24e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.60516417808293,
      "fos_buckling": 1.325428945186035,
      "fos_yielding": 4.601627712630651,
      "deflection": 0.007242438615862735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1205",
      "improvement_over_parent": null
    },
    "node_1207": {
      "node_id": "node_1207",
      "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.36 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.36293935990915,
      "fos_buckling": 1.5246840419858816,
      "fos_yielding": 4.599342124376825,
      "deflection": 0.006977086565102668,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.290)"
      },
      "parent_node_id": "node_1206",
      "improvement_over_parent": null
    },
    "node_1208": {
      "node_id": "node_1208",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1207",
      "improvement_over_parent": null
    },
    "node_1209": {
      "node_id": "node_1209",
      "content": "INITIAL DESIGN (Trace 174)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n\nPerformance:\n  Mass: 110.12 kg\n  Factor of Safety: 1.39\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": 110.11634520438828,
      "fos_buckling": 1.388355712090745,
      "fos_yielding": 3.779233134014653,
      "deflection": 18558139580615.992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1210": {
      "node_id": "node_1210",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 138.08 kg\n  Factor of Safety: 0.40\n  Max Deflection: 5.12e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.08174669919896,
      "fos_buckling": 0.39896966631073855,
      "fos_yielding": 0.32908002874794623,
      "deflection": 511922450128548.9,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006846)"
      },
      "parent_node_id": "node_1209",
      "improvement_over_parent": null
    },
    "node_1211": {
      "node_id": "node_1211",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n  Mass: 159.94 kg\n  Factor of Safety: 0.54\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": 159.93719663805604,
      "fos_buckling": 0.5419859727929865,
      "fos_yielding": 3.6434239562769486,
      "deflection": 0.014095330685450207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006052)"
      },
      "parent_node_id": "node_1210",
      "improvement_over_parent": null
    },
    "node_1212": {
      "node_id": "node_1212",
      "content": "MODIFICATION: Increase 8 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0102)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n  Mass: 171.96 kg\n  Factor of Safety: 0.54\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": 171.95854695161046,
      "fos_buckling": 0.5411299435752166,
      "fos_yielding": 3.6415965937393517,
      "deflection": 0.013618962379769431,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.484)"
      },
      "parent_node_id": "node_1211",
      "improvement_over_parent": null
    },
    "node_1213": {
      "node_id": "node_1213",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0102)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n\nPerformance:\n  Mass: 199.60 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.90e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.59771600296338,
      "fos_buckling": 1.3484544402347607,
      "fos_yielding": 4.031882859296359,
      "deflection": 0.007904260204958904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006806)"
      },
      "parent_node_id": "node_1212",
      "improvement_over_parent": null
    },
    "node_1214": {
      "node_id": "node_1214",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0121)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 233.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.78e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 233.66100992646307,
      "fos_buckling": 1.53363766837095,
      "fos_yielding": 4.719119723676811,
      "deflection": 0.006775770418229025,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_1213",
      "improvement_over_parent": null
    },
    "node_1215": {
      "node_id": "node_1215",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1214",
      "improvement_over_parent": null
    },
    "node_1216": {
      "node_id": "node_1216",
      "content": "INITIAL DESIGN (Trace 175)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0034)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0022)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0033)]\n\nPerformance:\n  Mass: 109.88 kg\n  Factor of Safety: 0.77\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": 109.8816599639687,
      "fos_buckling": 0.7695138412704813,
      "fos_yielding": 2.36295626665331,
      "deflection": 0.014206983476168685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1217": {
      "node_id": "node_1217",
      "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0034)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0033)]\n\nPerformance:\n  Mass: 114.61 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": 114.60697513524721,
      "fos_buckling": 0.7670282862159437,
      "fos_yielding": 2.3639394879170483,
      "deflection": 0.013740912213331851,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.582)"
      },
      "parent_node_id": "node_1216",
      "improvement_over_parent": null
    },
    "node_1218": {
      "node_id": "node_1218",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n  Mass: 149.89 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.89297913621277,
      "fos_buckling": 0.9787680288830635,
      "fos_yielding": 3.0873646530201873,
      "deflection": 0.01054703749478095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_1217",
      "improvement_over_parent": null
    },
    "node_1219": {
      "node_id": "node_1219",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 189.11 kg\n  Factor of Safety: 1.20\n  Max Deflection: 8.40e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.11024643089758,
      "fos_buckling": 1.2007628246693989,
      "fos_yielding": 3.888923152662862,
      "deflection": 0.008395738371739618,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_1218",
      "improvement_over_parent": null
    },
    "node_1220": {
      "node_id": "node_1220",
      "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 193.46 kg\n  Factor of Safety: 1.34\n  Max Deflection: 8.17e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.4614295341927,
      "fos_buckling": 1.3368416285225844,
      "fos_yielding": 3.9178150892752965,
      "deflection": 0.008168465571231708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.200)"
      },
      "parent_node_id": "node_1219",
      "improvement_over_parent": null
    },
    "node_1221": {
      "node_id": "node_1221",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.80 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.8039605347822,
      "fos_buckling": 1.5266193982803595,
      "fos_yielding": 4.607924956242109,
      "deflection": 0.006963858711439186,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_1220",
      "improvement_over_parent": null
    },
    "node_1222": {
      "node_id": "node_1222",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1221",
      "improvement_over_parent": null
    },
    "node_1223": {
      "node_id": "node_1223",
      "content": "INITIAL DESIGN (Trace 176)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 161.89 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.8867524422247,
      "fos_buckling": 0.7836310333337021,
      "fos_yielding": 4.161830061539796,
      "deflection": 0.012266614662954714,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1224": {
      "node_id": "node_1224",
      "content": "MODIFICATION: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 169.09 kg\n  Factor of Safety: 0.78\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": 169.0927707577363,
      "fos_buckling": 0.7828888318878524,
      "fos_yielding": 4.161830061539795,
      "deflection": 0.012280064083395896,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.429)"
      },
      "parent_node_id": "node_1223",
      "improvement_over_parent": null
    },
    "node_1225": {
      "node_id": "node_1225",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 190.75 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.84e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.75206703458372,
      "fos_buckling": 0.9822644063175909,
      "fos_yielding": 3.6780668819792055,
      "deflection": 0.009843553577929652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1224",
      "improvement_over_parent": null
    },
    "node_1226": {
      "node_id": "node_1226",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 212.84 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.62e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.84321516324403,
      "fos_buckling": 1.2460926216517934,
      "fos_yielding": 3.69139819038482,
      "deflection": 0.00762318033740318,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1225",
      "improvement_over_parent": null
    },
    "node_1227": {
      "node_id": "node_1227",
      "content": "MODIFICATION: Increase 10 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0095)]\n\nPerformance:\n  Mass: 220.20 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.49e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.20320492412162,
      "fos_buckling": 1.2432953472610209,
      "fos_yielding": 3.6918841267760407,
      "deflection": 0.007486668304012793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.381)"
      },
      "parent_node_id": "node_1226",
      "improvement_over_parent": null
    },
    "node_1228": {
      "node_id": "node_1228",
      "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0091)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0095)]\n\nPerformance:\n  Mass: 226.08 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.36e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.0821981042414,
      "fos_buckling": 1.2409665871509343,
      "fos_yielding": 3.6923296204120417,
      "deflection": 0.007359692001048844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.259)"
      },
      "parent_node_id": "node_1227",
      "improvement_over_parent": null
    },
    "node_1229": {
      "node_id": "node_1229",
      "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0091)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0095)]\n\nPerformance:\n  Mass: 231.48 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.17e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.4825772528722,
      "fos_buckling": 1.2423642476574377,
      "fos_yielding": 3.6907836682066573,
      "deflection": 0.007172149805799849,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.263)"
      },
      "parent_node_id": "node_1228",
      "improvement_over_parent": null
    },
    "node_1230": {
      "node_id": "node_1230",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1229",
      "improvement_over_parent": null
    },
    "node_1231": {
      "node_id": "node_1231",
      "content": "INITIAL DESIGN (Trace 177)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0009)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 125.04 kg\n  Factor of Safety: 0.30\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.04042462179406,
      "fos_buckling": 0.30074573638494667,
      "fos_yielding": 1.5639033631472705,
      "deflection": 0.020164436433630178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1232": {
      "node_id": "node_1232",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0011)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 150.14 kg\n  Factor of Safety: 0.36\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": 150.1385543822359,
      "fos_buckling": 0.36015547996039576,
      "fos_yielding": 1.8893049762745013,
      "deflection": 0.016819638586378964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_1231",
      "improvement_over_parent": null
    },
    "node_1233": {
      "node_id": "node_1233",
      "content": "MODIFICATION: Increase 5 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 150.53 kg\n  Factor of Safety: 0.50\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": 150.5282881364828,
      "fos_buckling": 0.49947542825814445,
      "fos_yielding": 2.780658364121281,
      "deflection": 0.015957510245537817,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.538)"
      },
      "parent_node_id": "node_1232",
      "improvement_over_parent": null
    },
    "node_1234": {
      "node_id": "node_1234",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 194.29 kg\n  Factor of Safety: 0.62\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": 194.29012757507223,
      "fos_buckling": 0.6160827191747765,
      "fos_yielding": 3.6156884199150756,
      "deflection": 0.012410443743906695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_1233",
      "improvement_over_parent": null
    },
    "node_1235": {
      "node_id": "node_1235",
      "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 195.18 kg\n  Factor of Safety: 0.62\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": 195.18418138788962,
      "fos_buckling": 0.615938402914679,
      "fos_yielding": 4.260290206215018,
      "deflection": 0.011904751300639905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.658)"
      },
      "parent_node_id": "node_1234",
      "improvement_over_parent": null
    },
    "node_1236": {
      "node_id": "node_1236",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5778010280079,
      "fos_buckling": 1.5256417557968018,
      "fos_yielding": 4.602993776956034,
      "deflection": 0.006970632273259662,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1235",
      "improvement_over_parent": null
    },
    "node_1237": {
      "node_id": "node_1237",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 178)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0013)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0028)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n  Mass: 116.64 kg\n  Factor of Safety: 0.50\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": 116.63912819293124,
      "fos_buckling": 0.5004716597573852,
      "fos_yielding": 1.4198987219836798,
      "deflection": 0.014113981410403334,
      "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 all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0015)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 141.37 kg\n  Factor of Safety: 0.60\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": 141.3662444722966,
      "fos_buckling": 0.6034372555528094,
      "fos_yielding": 1.7278152651536294,
      "deflection": 0.011668865887763247,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_1238",
      "improvement_over_parent": null
    },
    "node_1240": {
      "node_id": "node_1240",
      "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 142.13 kg\n  Factor of Safety: 0.78\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": 142.12865306415438,
      "fos_buckling": 0.7812939587509963,
      "fos_yielding": 2.6340400035944236,
      "deflection": 0.011356369102094392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.567)"
      },
      "parent_node_id": "node_1239",
      "improvement_over_parent": null
    },
    "node_1241": {
      "node_id": "node_1241",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 169.89 kg\n  Factor of Safety: 0.92\n  Max Deflection: 9.53e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.8871911246877,
      "fos_buckling": 0.920469665047386,
      "fos_yielding": 3.153611577566069,
      "deflection": 0.00952538922725858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_1240",
      "improvement_over_parent": null
    },
    "node_1242": {
      "node_id": "node_1242",
      "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 170.84 kg\n  Factor of Safety: 0.94\n  Max Deflection: 9.39e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.83548033047978,
      "fos_buckling": 0.9448782456158741,
      "fos_yielding": 3.735634470152359,
      "deflection": 0.009394582024192756,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.393)"
      },
      "parent_node_id": "node_1241",
      "improvement_over_parent": null
    },
    "node_1243": {
      "node_id": "node_1243",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 211.22 kg\n  Factor of Safety: 1.14\n  Max Deflection: 7.63e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.2172172151574,
      "fos_buckling": 1.1431164221379246,
      "fos_yielding": 4.606856145034996,
      "deflection": 0.007628241221387521,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_1242",
      "improvement_over_parent": null
    },
    "node_1244": {
      "node_id": "node_1244",
      "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 216.71 kg\n  Factor of Safety: 1.20\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.71394445467382,
      "fos_buckling": 1.19567613627819,
      "fos_yielding": 4.607788134819716,
      "deflection": 0.007454565128236219,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.300)"
      },
      "parent_node_id": "node_1243",
      "improvement_over_parent": null
    },
    "node_1245": {
      "node_id": "node_1245",
      "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5959778528429,
      "fos_buckling": 1.5258491910312204,
      "fos_yielding": 4.603717726651295,
      "deflection": 0.00696997252799588,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.555)"
      },
      "parent_node_id": "node_1244",
      "improvement_over_parent": null
    },
    "node_1246": {
      "node_id": "node_1246",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 179)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n\nPerformance:\n  Mass: 126.95 kg\n  Factor of Safety: 0.22\n  Max Deflection: 4.42e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.95483879398756,
      "fos_buckling": 0.2223731917174665,
      "fos_yielding": 3.1155928575892524,
      "deflection": 44172680872813.766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1248": {
      "node_id": "node_1248",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 154.06 kg\n  Factor of Safety: 0.52\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": 154.05673613685644,
      "fos_buckling": 0.521968284506983,
      "fos_yielding": 4.256132061294247,
      "deflection": 0.01524047053254328,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006618)"
      },
      "parent_node_id": "node_1247",
      "improvement_over_parent": null
    },
    "node_1249": {
      "node_id": "node_1249",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 186.47 kg\n  Factor of Safety: 0.63\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": 186.46819107578307,
      "fos_buckling": 0.6251553198236517,
      "fos_yielding": 5.145454905829167,
      "deflection": 0.012587778457955806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_1248",
      "improvement_over_parent": null
    },
    "node_1250": {
      "node_id": "node_1250",
      "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 192.61 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.61101390588755,
      "fos_buckling": 0.803146184855505,
      "fos_yielding": 5.145454905829167,
      "deflection": 0.01142149212552382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.351)"
      },
      "parent_node_id": "node_1249",
      "improvement_over_parent": null
    },
    "node_1251": {
      "node_id": "node_1251",
      "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 200.13 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.13457046060805,
      "fos_buckling": 1.0030243896846749,
      "fos_yielding": 5.145454905829167,
      "deflection": 0.010598929564856632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.332)"
      },
      "parent_node_id": "node_1250",
      "improvement_over_parent": null
    },
    "node_1252": {
      "node_id": "node_1252",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 202.52 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.5192527721942,
      "fos_buckling": 1.004218614321052,
      "fos_yielding": 5.145454905829167,
      "deflection": 0.0087117962708753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_1251",
      "improvement_over_parent": null
    },
    "node_1253": {
      "node_id": "node_1253",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63854774969514,
      "fos_buckling": 1.5260089629446327,
      "fos_yielding": 4.604311157575215,
      "deflection": 0.006968800207020984,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_1252",
      "improvement_over_parent": null
    },
    "node_1254": {
      "node_id": "node_1254",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1253",
      "improvement_over_parent": null
    },
    "node_1255": {
      "node_id": "node_1255",
      "content": "INITIAL DESIGN (Trace 180)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n\nPerformance:\n  Mass: 98.72 kg\n  Factor of Safety: 0.38\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": 98.72326232084522,
      "fos_buckling": 0.3778273754861849,
      "fos_yielding": 2.26795945526378,
      "deflection": 0.023602506208029197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1256": {
      "node_id": "node_1256",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 117.94 kg\n  Factor of Safety: 0.62\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": 117.93876155319191,
      "fos_buckling": 0.6246377569776353,
      "fos_yielding": 2.703162461362476,
      "deflection": 0.014948438189570193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004590)"
      },
      "parent_node_id": "node_1255",
      "improvement_over_parent": null
    },
    "node_1257": {
      "node_id": "node_1257",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 154.53 kg\n  Factor of Safety: 0.79\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": 154.53021289644207,
      "fos_buckling": 0.7897495102995128,
      "fos_yielding": 3.5367888701588575,
      "deflection": 0.011458689394817733,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_1256",
      "improvement_over_parent": null
    },
    "node_1258": {
      "node_id": "node_1258",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n  Mass: 174.19 kg\n  Factor of Safety: 1.04\n  Max Deflection: 9.19e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.18944860834188,
      "fos_buckling": 1.038447069827914,
      "fos_yielding": 3.5560794250352603,
      "deflection": 0.009193524550317137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005400)"
      },
      "parent_node_id": "node_1257",
      "improvement_over_parent": null
    },
    "node_1259": {
      "node_id": "node_1259",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n\nPerformance:\n  Mass: 199.27 kg\n  Factor of Safety: 1.18\n  Max Deflection: 8.06e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.27125701591575,
      "fos_buckling": 1.1781872819581012,
      "fos_yielding": 4.064363211362889,
      "deflection": 0.008057041495247061,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_1258",
      "improvement_over_parent": null
    },
    "node_1260": {
      "node_id": "node_1260",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 226.85 kg\n  Factor of Safety: 1.33\n  Max Deflection: 7.10e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.84631110856057,
      "fos_buckling": 1.3288863261532007,
      "fos_yielding": 4.622073881960423,
      "deflection": 0.007097568147760994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_1259",
      "improvement_over_parent": null
    },
    "node_1261": {
      "node_id": "node_1261",
      "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6575173156065,
      "fos_buckling": 1.526257378422587,
      "fos_yielding": 4.60509986586449,
      "deflection": 0.006967977737950101,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.565)"
      },
      "parent_node_id": "node_1260",
      "improvement_over_parent": null
    },
    "node_1262": {
      "node_id": "node_1262",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1261",
      "improvement_over_parent": null
    },
    "node_1263": {
      "node_id": "node_1263",
      "content": "INITIAL DESIGN (Trace 181)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1264": {
      "node_id": "node_1264",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 132.70 kg\n  Factor of Safety: 0.52\n  Max Deflection: 4.05e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.69700786498706,
      "fos_buckling": 0.5170329551223397,
      "fos_yielding": 4.331459339178495,
      "deflection": 40452696769140.45,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005955)"
      },
      "parent_node_id": "node_1263",
      "improvement_over_parent": null
    },
    "node_1265": {
      "node_id": "node_1265",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n  Mass: 134.72 kg\n  Factor of Safety: 0.52\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": 134.7197724867159,
      "fos_buckling": 0.5202322891756468,
      "fos_yielding": 3.2746972709094737,
      "deflection": 0.01763768008448269,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003165)"
      },
      "parent_node_id": "node_1264",
      "improvement_over_parent": null
    },
    "node_1266": {
      "node_id": "node_1266",
      "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0090)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n  Mass: 144.38 kg\n  Factor of Safety: 0.52\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": 144.37529361465332,
      "fos_buckling": 0.5195699277406529,
      "fos_yielding": 3.2715880220204325,
      "deflection": 0.016331473213618,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.511)"
      },
      "parent_node_id": "node_1265",
      "improvement_over_parent": null
    },
    "node_1267": {
      "node_id": "node_1267",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 169.95 kg\n  Factor of Safety: 0.59\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": 169.94517009026725,
      "fos_buckling": 0.5941022979246541,
      "fos_yielding": 3.8499846170207785,
      "deflection": 0.013899400354857969,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_1266",
      "improvement_over_parent": null
    },
    "node_1268": {
      "node_id": "node_1268",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 202.72 kg\n  Factor of Safety: 0.71\n  Max Deflection: 9.96e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.72276483315275,
      "fos_buckling": 0.7073984970848342,
      "fos_yielding": 4.536531145618866,
      "deflection": 0.009955875019840485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_1267",
      "improvement_over_parent": null
    },
    "node_1269": {
      "node_id": "node_1269",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 228.34 kg\n  Factor of Safety: 1.21\n  Max Deflection: 7.27e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.33929374244735,
      "fos_buckling": 1.211405416015527,
      "fos_yielding": 4.557298040148558,
      "deflection": 0.0072654972103849075,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1268",
      "improvement_over_parent": null
    },
    "node_1270": {
      "node_id": "node_1270",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1269",
      "improvement_over_parent": null
    },
    "node_1271": {
      "node_id": "node_1271",
      "content": "INITIAL DESIGN (Trace 182)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 140.24 kg\n  Factor of Safety: 0.71\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": 140.2381065079563,
      "fos_buckling": 0.7077826245351434,
      "fos_yielding": 4.153996189821421,
      "deflection": 0.013976560759343717,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1272": {
      "node_id": "node_1272",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n\nPerformance:\n  Mass: 160.92 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.91599003564772,
      "fos_buckling": 0.7058569089245589,
      "fos_yielding": 4.153996189821421,
      "deflection": 0.011539071411048436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005701)"
      },
      "parent_node_id": "node_1271",
      "improvement_over_parent": null
    },
    "node_1273": {
      "node_id": "node_1273",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n  Mass: 178.40 kg\n  Factor of Safety: 1.11\n  Max Deflection: 8.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.4009542496069,
      "fos_buckling": 1.111126811319994,
      "fos_yielding": 3.6972926893601024,
      "deflection": 0.008990377299235573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005402)"
      },
      "parent_node_id": "node_1272",
      "improvement_over_parent": null
    },
    "node_1274": {
      "node_id": "node_1274",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 221.25 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.28e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.2454078662915,
      "fos_buckling": 1.3375870347245855,
      "fos_yielding": 4.576596769433184,
      "deflection": 0.007280700789570432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_1273",
      "improvement_over_parent": null
    },
    "node_1275": {
      "node_id": "node_1275",
      "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0085)]\n\nPerformance:\n  Mass: 225.90 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.19e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.89765257191934,
      "fos_buckling": 1.3721248148733765,
      "fos_yielding": 4.552504486012977,
      "deflection": 0.007192006126279708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.242)"
      },
      "parent_node_id": "node_1274",
      "improvement_over_parent": null
    },
    "node_1276": {
      "node_id": "node_1276",
      "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0074)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0085)]\n\nPerformance:\n  Mass: 227.43 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.11e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.42552785254077,
      "fos_buckling": 1.3662127769108217,
      "fos_yielding": 5.372345479596148,
      "deflection": 0.007112861645774161,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.346)"
      },
      "parent_node_id": "node_1275",
      "improvement_over_parent": null
    },
    "node_1277": {
      "node_id": "node_1277",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 183)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 164.14 kg\n  Factor of Safety: 0.54\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": 164.1422120377531,
      "fos_buckling": 0.5443356216452735,
      "fos_yielding": 3.664710229518748,
      "deflection": 0.01457619942325358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1279": {
      "node_id": "node_1279",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 191.39 kg\n  Factor of Safety: 0.62\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": 191.3899987730531,
      "fos_buckling": 0.6165293681531492,
      "fos_yielding": 4.264740680418105,
      "deflection": 0.012532560423380641,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_1278",
      "improvement_over_parent": null
    },
    "node_1280": {
      "node_id": "node_1280",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 223.78 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.78361841317138,
      "fos_buckling": 1.4889958999531907,
      "fos_yielding": 4.6050086876370395,
      "deflection": 0.007052729442894619,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1279",
      "improvement_over_parent": null
    },
    "node_1281": {
      "node_id": "node_1281",
      "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 228.22 kg\n  Factor of Safety: 1.49\n  Max Deflection: 6.98e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.2164328746666,
      "fos_buckling": 1.487049844364115,
      "fos_yielding": 4.5823104259109755,
      "deflection": 0.006978363002318014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.198)"
      },
      "parent_node_id": "node_1280",
      "improvement_over_parent": null
    },
    "node_1282": {
      "node_id": "node_1282",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1281",
      "improvement_over_parent": null
    },
    "node_1283": {
      "node_id": "node_1283",
      "content": "INITIAL DESIGN (Trace 184)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 139.64 kg\n  Factor of Safety: 0.76\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": 139.64390226632935,
      "fos_buckling": 0.7611640264624524,
      "fos_yielding": 3.087328764531637,
      "deflection": 0.013064413350027195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1284": {
      "node_id": "node_1284",
      "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 143.72 kg\n  Factor of Safety: 0.76\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": 143.7187610473156,
      "fos_buckling": 0.760755112295017,
      "fos_yielding": 3.087328764531637,
      "deflection": 0.012178772923783563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.269)"
      },
      "parent_node_id": "node_1283",
      "improvement_over_parent": null
    },
    "node_1285": {
      "node_id": "node_1285",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 161.69 kg\n  Factor of Safety: 1.06\n  Max Deflection: 9.83e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.68601577596513,
      "fos_buckling": 1.0604722153944521,
      "fos_yielding": 2.7759787656657937,
      "deflection": 0.009833949548825612,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004960)"
      },
      "parent_node_id": "node_1284",
      "improvement_over_parent": null
    },
    "node_1286": {
      "node_id": "node_1286",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 182.45 kg\n  Factor of Safety: 1.18\n  Max Deflection: 8.73e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.44525801814544,
      "fos_buckling": 1.181951649329462,
      "fos_yielding": 3.1347240347801186,
      "deflection": 0.008734492000599337,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_1285",
      "improvement_over_parent": null
    },
    "node_1287": {
      "node_id": "node_1287",
      "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 183.10 kg\n  Factor of Safety: 1.18\n  Max Deflection: 8.66e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.09822453967854,
      "fos_buckling": 1.182154478945508,
      "fos_yielding": 3.5837493177993736,
      "deflection": 0.00866221071711523,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.206)"
      },
      "parent_node_id": "node_1286",
      "improvement_over_parent": null
    },
    "node_1288": {
      "node_id": "node_1288",
      "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 183.72 kg\n  Factor of Safety: 1.28\n  Max Deflection: 8.59e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.71845071928755,
      "fos_buckling": 1.2809455135393437,
      "fos_yielding": 3.7229072790396525,
      "deflection": 0.008592101028369664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.229)"
      },
      "parent_node_id": "node_1287",
      "improvement_over_parent": null
    },
    "node_1289": {
      "node_id": "node_1289",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.72341755111833,
      "fos_buckling": 1.5267503799496274,
      "fos_yielding": 4.607723659402717,
      "deflection": 0.006966165709154059,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_1288",
      "improvement_over_parent": null
    },
    "node_1290": {
      "node_id": "node_1290",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1289",
      "improvement_over_parent": null
    },
    "node_1291": {
      "node_id": "node_1291",
      "content": "INITIAL DESIGN (Trace 185)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 195.04 kg\n  Factor of Safety: 1.13\n  Max Deflection: 8.43e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.03854049123706,
      "fos_buckling": 1.1313085528079558,
      "fos_yielding": 4.166337261347636,
      "deflection": 0.008433706208712456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1292": {
      "node_id": "node_1292",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 216.77 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.60e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.76746689474743,
      "fos_buckling": 1.2471159476624143,
      "fos_yielding": 4.625165187689239,
      "deflection": 0.007602510589157383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_1291",
      "improvement_over_parent": null
    },
    "node_1293": {
      "node_id": "node_1293",
      "content": "MODIFICATION: Increase 5 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 217.52 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.52061370828972,
      "fos_buckling": 1.4461122349337414,
      "fos_yielding": 4.608363812482059,
      "deflection": 0.00746537306943935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.506)"
      },
      "parent_node_id": "node_1292",
      "improvement_over_parent": null
    },
    "node_1294": {
      "node_id": "node_1294",
      "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.61523733410132,
      "fos_buckling": 1.5259875990550564,
      "fos_yielding": 4.604153602600945,
      "deflection": 0.006969479091558518,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.621)"
      },
      "parent_node_id": "node_1293",
      "improvement_over_parent": null
    },
    "node_1295": {
      "node_id": "node_1295",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n  Mass: 142.69 kg\n  Factor of Safety: 0.39\n  Max Deflection: 4.76e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.69402554622297,
      "fos_buckling": 0.3876146054343317,
      "fos_yielding": 2.8628006085868862,
      "deflection": 0.04762980871775841,
      "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n\nPerformance:\n  Mass: 144.46 kg\n  Factor of Safety: 0.46\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": 144.46216893585702,
      "fos_buckling": 0.462617580036483,
      "fos_yielding": 2.862468449092563,
      "deflection": 0.016219752862851308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002739)"
      },
      "parent_node_id": "node_1296",
      "improvement_over_parent": null
    },
    "node_1298": {
      "node_id": "node_1298",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n  Mass: 174.41 kg\n  Factor of Safety: 0.54\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": 174.41264539332047,
      "fos_buckling": 0.5416759608416576,
      "fos_yielding": 3.450854717112444,
      "deflection": 0.013479264232951168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_1297",
      "improvement_over_parent": null
    },
    "node_1299": {
      "node_id": "node_1299",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 203.76 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.76e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.75816520830296,
      "fos_buckling": 1.395642287379096,
      "fos_yielding": 4.124561599459361,
      "deflection": 0.007764624780523938,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007213)"
      },
      "parent_node_id": "node_1298",
      "improvement_over_parent": null
    },
    "node_1300": {
      "node_id": "node_1300",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.67743197113396,
      "fos_buckling": 1.5263927582850145,
      "fos_yielding": 4.6050173565399275,
      "deflection": 0.006967587718229367,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_1299",
      "improvement_over_parent": null
    },
    "node_1301": {
      "node_id": "node_1301",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1300",
      "improvement_over_parent": null
    },
    "node_1302": {
      "node_id": "node_1302",
      "content": "INITIAL DESIGN (Trace 187)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n\nPerformance:\n  Mass: 96.01 kg\n  Factor of Safety: 0.39\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": 96.0069259007541,
      "fos_buckling": 0.39371887681687295,
      "fos_yielding": 2.373420707675407,
      "deflection": 0.02428853702520512,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1303": {
      "node_id": "node_1303",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 112.22 kg\n  Factor of Safety: 0.45\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": 112.22381707712739,
      "fos_buckling": 0.45096603493086057,
      "fos_yielding": 2.7699081816605684,
      "deflection": 0.020814966840388048,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_1302",
      "improvement_over_parent": null
    },
    "node_1304": {
      "node_id": "node_1304",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 128.89 kg\n  Factor of Safety: 0.51\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": 128.89203820416904,
      "fos_buckling": 0.5070793590274046,
      "fos_yielding": 3.176022332364214,
      "deflection": 0.018155592320527485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_1303",
      "improvement_over_parent": null
    },
    "node_1305": {
      "node_id": "node_1305",
      "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 134.29 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.29123940276446,
      "fos_buckling": 0.5067178701321594,
      "fos_yielding": 3.175459661294609,
      "deflection": 0.018167110406458485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.326)"
      },
      "parent_node_id": "node_1304",
      "improvement_over_parent": null
    },
    "node_1306": {
      "node_id": "node_1306",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 163.52 kg\n  Factor of Safety: 0.60\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": 163.51517565646304,
      "fos_buckling": 0.5951354400426491,
      "fos_yielding": 3.8577660520661237,
      "deflection": 0.014957178328446773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_1305",
      "improvement_over_parent": null
    },
    "node_1307": {
      "node_id": "node_1307",
      "content": "MODIFICATION: Increase 0 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 172.85 kg\n  Factor of Safety: 0.59\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": 172.84842064851745,
      "fos_buckling": 0.5944056397931913,
      "fos_yielding": 3.8565867745742684,
      "deflection": 0.01368871614197448,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.550)"
      },
      "parent_node_id": "node_1306",
      "improvement_over_parent": null
    },
    "node_1308": {
      "node_id": "node_1308",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.63 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.62601539140294,
      "fos_buckling": 0.9809726527894055,
      "fos_yielding": 4.58979224404311,
      "deflection": 0.00881619356666893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_1307",
      "improvement_over_parent": null
    },
    "node_1309": {
      "node_id": "node_1309",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.71716352006325,
      "fos_buckling": 1.5263635742721768,
      "fos_yielding": 4.606789384980902,
      "deflection": 0.006966501279636226,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1308",
      "improvement_over_parent": null
    },
    "node_1310": {
      "node_id": "node_1310",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1309",
      "improvement_over_parent": null
    },
    "node_1311": {
      "node_id": "node_1311",
      "content": "INITIAL DESIGN (Trace 188)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1312": {
      "node_id": "node_1312",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n\nPerformance:\n  Mass: 108.23 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": 108.22810837045711,
      "fos_buckling": 0.6075294941241602,
      "fos_yielding": 2.8493603887411627,
      "deflection": 0.016085509679453793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003618)"
      },
      "parent_node_id": "node_1311",
      "improvement_over_parent": null
    },
    "node_1313": {
      "node_id": "node_1313",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n  Mass: 122.12 kg\n  Factor of Safety: 0.92\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": 122.12499523143404,
      "fos_buckling": 0.920977394085324,
      "fos_yielding": 2.5571093680135175,
      "deflection": 0.01299057016907016,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.003781)"
      },
      "parent_node_id": "node_1312",
      "improvement_over_parent": null
    },
    "node_1314": {
      "node_id": "node_1314",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n  Mass: 157.07 kg\n  Factor of Safety: 1.15\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.0677702017937,
      "fos_buckling": 1.1483509876088465,
      "fos_yielding": 3.283614281670255,
      "deflection": 0.010138285725248577,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_1313",
      "improvement_over_parent": null
    },
    "node_1315": {
      "node_id": "node_1315",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 175.53 kg\n  Factor of Safety: 1.26\n  Max Deflection: 9.09e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.52965751912504,
      "fos_buckling": 1.2621294175591125,
      "fos_yielding": 3.6665110610864815,
      "deflection": 0.009089744115937999,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_1314",
      "improvement_over_parent": null
    },
    "node_1316": {
      "node_id": "node_1316",
      "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 180.89 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.89259327723366,
      "fos_buckling": 1.2641634534636943,
      "fos_yielding": 3.6645822945743776,
      "deflection": 0.008723747795050172,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.342)"
      },
      "parent_node_id": "node_1315",
      "improvement_over_parent": null
    },
    "node_1317": {
      "node_id": "node_1317",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.68651792407405,
      "fos_buckling": 1.5263126077627673,
      "fos_yielding": 4.605246976802415,
      "deflection": 0.006967423884570366,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_1316",
      "improvement_over_parent": null
    },
    "node_1318": {
      "node_id": "node_1318",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 168.93 kg\n  Factor of Safety: 0.57\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": 168.93244651531205,
      "fos_buckling": 0.5669650971620555,
      "fos_yielding": 3.1876897568641582,
      "deflection": 0.013545624080542575,
      "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: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 169.61 kg\n  Factor of Safety: 0.57\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": 169.60603112826868,
      "fos_buckling": 0.5669650971620553,
      "fos_yielding": 3.8449926650142405,
      "deflection": 0.013354213207856548,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.224)"
      },
      "parent_node_id": "node_1319",
      "improvement_over_parent": null
    },
    "node_1321": {
      "node_id": "node_1321",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 188.18 kg\n  Factor of Safety: 0.62\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": 188.17846893838967,
      "fos_buckling": 0.616463680331829,
      "fos_yielding": 4.2598838007931885,
      "deflection": 0.012062932019755565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_1320",
      "improvement_over_parent": null
    },
    "node_1322": {
      "node_id": "node_1322",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 220.57 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.16e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.57208857850796,
      "fos_buckling": 1.3789962952833321,
      "fos_yielding": 4.657757518876651,
      "deflection": 0.007157008472735383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1321",
      "improvement_over_parent": null
    },
    "node_1323": {
      "node_id": "node_1323",
      "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5522758236107,
      "fos_buckling": 1.525478054461825,
      "fos_yielding": 4.602673479621936,
      "deflection": 0.006971277680696585,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.522)"
      },
      "parent_node_id": "node_1322",
      "improvement_over_parent": null
    },
    "node_1324": {
      "node_id": "node_1324",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0024)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0024)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0021)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0016)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0012)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0017)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0025)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0022)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0022)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0025)]\n\nPerformance:\n  Mass: 66.72 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.67e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 66.71619598971728,
      "fos_buckling": 0.36339083653016363,
      "fos_yielding": 1.4964897617706272,
      "deflection": 0.026720279480589644,
      "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: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0030)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0026)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0031)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0028)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n\nPerformance:\n  Mass: 83.94 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.13e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 83.94021531160759,
      "fos_buckling": 0.45005108989897247,
      "fos_yielding": 1.8816541580203532,
      "deflection": 0.021282045886093608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_1325",
      "improvement_over_parent": null
    },
    "node_1327": {
      "node_id": "node_1327",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n  Mass: 104.21 kg\n  Factor of Safety: 0.55\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": 104.2110113232142,
      "fos_buckling": 0.5483291498599643,
      "fos_yielding": 2.3343316591323977,
      "deflection": 0.01718461324381285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_1326",
      "improvement_over_parent": null
    },
    "node_1328": {
      "node_id": "node_1328",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 131.72 kg\n  Factor of Safety: 0.68\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": 131.72196112564848,
      "fos_buckling": 0.6753432419981992,
      "fos_yielding": 2.94762457109695,
      "deflection": 0.013640900625993352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_1327",
      "improvement_over_parent": null
    },
    "node_1329": {
      "node_id": "node_1329",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 163.74 kg\n  Factor of Safety: 0.81\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": 163.74179984870412,
      "fos_buckling": 0.8140364178601502,
      "fos_yielding": 3.6598882868713973,
      "deflection": 0.011015920006307573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_1328",
      "improvement_over_parent": null
    },
    "node_1330": {
      "node_id": "node_1330",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.50 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.50367935220515,
      "fos_buckling": 0.980345069611982,
      "fos_yielding": 4.586370992364033,
      "deflection": 0.008821470545612064,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1329",
      "improvement_over_parent": null
    },
    "node_1331": {
      "node_id": "node_1331",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.59482748086546,
      "fos_buckling": 1.5257553884529653,
      "fos_yielding": 4.603364432929431,
      "deflection": 0.006970137488784472,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1330",
      "improvement_over_parent": null
    },
    "node_1332": {
      "node_id": "node_1332",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1331",
      "improvement_over_parent": null
    },
    "node_1333": {
      "node_id": "node_1333",
      "content": "INITIAL DESIGN (Trace 191)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 185.29 kg\n  Factor of Safety: 1.20\n  Max Deflection: 8.88e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.2861330848243,
      "fos_buckling": 1.2015587690609961,
      "fos_yielding": 3.870735994548537,
      "deflection": 0.008882000027637544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1334": {
      "node_id": "node_1334",
      "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 190.00 kg\n  Factor of Safety: 1.35\n  Max Deflection: 8.43e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.00108640998945,
      "fos_buckling": 1.3532231741552225,
      "fos_yielding": 3.927290103308503,
      "deflection": 0.008433142653953262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.376)"
      },
      "parent_node_id": "node_1333",
      "improvement_over_parent": null
    },
    "node_1335": {
      "node_id": "node_1335",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 220.35 kg\n  Factor of Safety: 1.53\n  Max Deflection: 7.29e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 220.35045482237106,
      "fos_buckling": 1.5256254622309169,
      "fos_yielding": 4.548828509953842,
      "deflection": 0.0072945003938349115,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_1334",
      "improvement_over_parent": null
    },
    "node_1336": {
      "node_id": "node_1336",
      "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.72195334148057,
      "fos_buckling": 1.5264130704193866,
      "fos_yielding": 4.60597965367801,
      "deflection": 0.006966278402616359,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.387)"
      },
      "parent_node_id": "node_1335",
      "improvement_over_parent": null
    },
    "node_1337": {
      "node_id": "node_1337",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1336",
      "improvement_over_parent": null
    },
    "node_1338": {
      "node_id": "node_1338",
      "content": "INITIAL DESIGN (Trace 192)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_1339": {
      "node_id": "node_1339",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n\nPerformance:\n  Mass: 160.26 kg\n  Factor of Safety: 0.82\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": 160.26383622701442,
      "fos_buckling": 0.8229026241538298,
      "fos_yielding": 3.7430463973080577,
      "deflection": 0.01109892760971658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005694)"
      },
      "parent_node_id": "node_1338",
      "improvement_over_parent": null
    },
    "node_1340": {
      "node_id": "node_1340",
      "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0090)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n\nPerformance:\n  Mass: 169.72 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.72101779381387,
      "fos_buckling": 0.8218798815147081,
      "fos_yielding": 3.7839688260624538,
      "deflection": 0.0107059583138808,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.397)"
      },
      "parent_node_id": "node_1339",
      "improvement_over_parent": null
    },
    "node_1341": {
      "node_id": "node_1341",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0114)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 210.26 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.68e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.26343937896578,
      "fos_buckling": 0.9800104036480506,
      "fos_yielding": 4.685677905283999,
      "deflection": 0.008678689694073965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_1340",
      "improvement_over_parent": null
    },
    "node_1342": {
      "node_id": "node_1342",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0114)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 232.35 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.80e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 232.3545875076261,
      "fos_buckling": 1.5330392052067057,
      "fos_yielding": 4.702987790215875,
      "deflection": 0.0068009710076452675,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1341",
      "improvement_over_parent": null
    },
    "node_1343": {
      "node_id": "node_1343",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1342",
      "improvement_over_parent": null
    },
    "node_1344": {
      "node_id": "node_1344",
      "content": "INITIAL DESIGN (Trace 193)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 188.72 kg\n  Factor of Safety: 0.50\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": 188.7180766436641,
      "fos_buckling": 0.49822040077005414,
      "fos_yielding": 3.8534619259759797,
      "deflection": 0.03604139928030997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1345": {
      "node_id": "node_1345",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 221.50 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.4956713865496,
      "fos_buckling": 0.9998513108245053,
      "fos_yielding": 5.125722112150724,
      "deflection": 0.010599441698180927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_1344",
      "improvement_over_parent": null
    },
    "node_1346": {
      "node_id": "node_1346",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 223.88 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.88035369813574,
      "fos_buckling": 1.4900115594441785,
      "fos_yielding": 4.62822091284834,
      "deflection": 0.007048986971435297,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_1345",
      "improvement_over_parent": null
    },
    "node_1347": {
      "node_id": "node_1347",
      "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0097)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 229.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.88e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 229.52032248454782,
      "fos_buckling": 1.5306436357294382,
      "fos_yielding": 4.657049683470356,
      "deflection": 0.006876423331052259,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.193)"
      },
      "parent_node_id": "node_1346",
      "improvement_over_parent": null
    },
    "node_1348": {
      "node_id": "node_1348",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 194)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\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_1350": {
      "node_id": "node_1350",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n\nPerformance:\n  Mass: 172.68 kg\n  Factor of Safety: 0.89\n  Max Deflection: 9.90e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.67969323955043,
      "fos_buckling": 0.8915643990133377,
      "fos_yielding": 4.075401778376936,
      "deflection": 0.009899603530608862,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003898)"
      },
      "parent_node_id": "node_1349",
      "improvement_over_parent": null
    },
    "node_1351": {
      "node_id": "node_1351",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n\nPerformance:\n  Mass: 194.59 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.58520544744212,
      "fos_buckling": 0.981699375436711,
      "fos_yielding": 4.587243044451674,
      "deflection": 0.008811137818115945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_1350",
      "improvement_over_parent": null
    },
    "node_1352": {
      "node_id": "node_1352",
      "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0106)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n\nPerformance:\n  Mass: 204.82 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.65e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.81785160807715,
      "fos_buckling": 0.9803850549780592,
      "fos_yielding": 4.539853899456026,
      "deflection": 0.008653008657680967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.550)"
      },
      "parent_node_id": "node_1351",
      "improvement_over_parent": null
    },
    "node_1353": {
      "node_id": "node_1353",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0106)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 230.43 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.43438051737175,
      "fos_buckling": 1.3577178174849966,
      "fos_yielding": 4.555066226593091,
      "deflection": 0.007023727598994657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1352",
      "improvement_over_parent": null
    },
    "node_1354": {
      "node_id": "node_1354",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1353",
      "improvement_over_parent": null
    },
    "node_1355": {
      "node_id": "node_1355",
      "content": "INITIAL DESIGN (Trace 195)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 163.21 kg\n  Factor of Safety: 0.67\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": 163.21350317029058,
      "fos_buckling": 0.6735496542038233,
      "fos_yielding": 4.3773473736456845,
      "deflection": 0.012071804691170893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1356": {
      "node_id": "node_1356",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 192.07 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.06821534758396,
      "fos_buckling": 0.7773073298353639,
      "fos_yielding": 5.1444469044675865,
      "deflection": 0.010277503191051146,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_1355",
      "improvement_over_parent": null
    },
    "node_1357": {
      "node_id": "node_1357",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 213.73 kg\n  Factor of Safety: 1.33\n  Max Deflection: 7.52e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.72751162443137,
      "fos_buckling": 1.3253310395514137,
      "fos_yielding": 4.509688633216769,
      "deflection": 0.007517576547279646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1356",
      "improvement_over_parent": null
    },
    "node_1358": {
      "node_id": "node_1358",
      "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0095)]\n\nPerformance:\n  Mass: 221.09 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.35e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.08912801415173,
      "fos_buckling": 1.3843541991538402,
      "fos_yielding": 4.473199026970749,
      "deflection": 0.007353328128994818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.389)"
      },
      "parent_node_id": "node_1357",
      "improvement_over_parent": null
    },
    "node_1359": {
      "node_id": "node_1359",
      "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0095)]\n\nPerformance:\n  Mass: 226.43 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.43308950848993,
      "fos_buckling": 1.3238313382639812,
      "fos_yielding": 4.50582824424932,
      "deflection": 0.007179757729762346,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.256)"
      },
      "parent_node_id": "node_1358",
      "improvement_over_parent": null
    },
    "node_1360": {
      "node_id": "node_1360",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1359",
      "improvement_over_parent": null
    },
    "node_1361": {
      "node_id": "node_1361",
      "content": "INITIAL DESIGN (Trace 196)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 161.39 kg\n  Factor of Safety: 0.43\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": 161.39402657663499,
      "fos_buckling": 0.43064777715537284,
      "fos_yielding": 3.235012836165671,
      "deflection": 0.04215264497550638,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1362": {
      "node_id": "node_1362",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 188.88 kg\n  Factor of Safety: 0.86\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": 188.87901796956032,
      "fos_buckling": 0.8647255489802619,
      "fos_yielding": 4.302192446215254,
      "deflection": 0.0126109191365066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006719)"
      },
      "parent_node_id": "node_1361",
      "improvement_over_parent": null
    },
    "node_1363": {
      "node_id": "node_1363",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 225.34 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.3364373358034,
      "fos_buckling": 1.0000310060783542,
      "fos_yielding": 5.125007147125449,
      "deflection": 0.01059531248433418,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_1362",
      "improvement_over_parent": null
    },
    "node_1364": {
      "node_id": "node_1364",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.72111964738954,
      "fos_buckling": 1.526428024764554,
      "fos_yielding": 4.606045195376854,
      "deflection": 0.006966403437613588,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_1363",
      "improvement_over_parent": null
    },
    "node_1365": {
      "node_id": "node_1365",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1364",
      "improvement_over_parent": null
    },
    "node_1366": {
      "node_id": "node_1366",
      "content": "INITIAL DESIGN (Trace 197)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 159.53 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.53324239391395,
      "fos_buckling": 0.8210904653982781,
      "fos_yielding": 2.3029939006638522,
      "deflection": 0.01107340448344627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1367": {
      "node_id": "node_1367",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 203.89 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.88663212360868,
      "fos_buckling": 1.0039137364815742,
      "fos_yielding": 2.9701460731083458,
      "deflection": 0.008712769534946155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_1366",
      "improvement_over_parent": null
    },
    "node_1368": {
      "node_id": "node_1368",
      "content": "MODIFICATION: Increase 5 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.02 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.01688701769766,
      "fos_buckling": 1.0039137364815742,
      "fos_yielding": 4.125910694356805,
      "deflection": 0.008712769534946155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.418)"
      },
      "parent_node_id": "node_1367",
      "improvement_over_parent": null
    },
    "node_1369": {
      "node_id": "node_1369",
      "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 206.01 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.0125611238728,
      "fos_buckling": 1.0039137364815742,
      "fos_yielding": 5.143867827529347,
      "deflection": 0.008712769534946155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.271)"
      },
      "parent_node_id": "node_1368",
      "improvement_over_parent": null
    },
    "node_1370": {
      "node_id": "node_1370",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.67185740072023,
      "fos_buckling": 1.5261531370051298,
      "fos_yielding": 4.604331217261419,
      "deflection": 0.006967760918050193,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1369",
      "improvement_over_parent": null
    },
    "node_1371": {
      "node_id": "node_1371",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1370",
      "improvement_over_parent": null
    },
    "node_1372": {
      "node_id": "node_1372",
      "content": "INITIAL DESIGN (Trace 198)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0033)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 171.73 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.62e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.72716826403436,
      "fos_buckling": 0.8222797593311663,
      "fos_yielding": 3.877278511370186,
      "deflection": 0.009618579887905824,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1373": {
      "node_id": "node_1373",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 204.64 kg\n  Factor of Safety: 0.97\n  Max Deflection: 8.09e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.63517456387504,
      "fos_buckling": 0.9676286450801873,
      "fos_yielding": 4.609637839226013,
      "deflection": 0.008092254627806833,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_1372",
      "improvement_over_parent": null
    },
    "node_1374": {
      "node_id": "node_1374",
      "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 213.84 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.43e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.83547373015733,
      "fos_buckling": 1.263198233033675,
      "fos_yielding": 4.605226681139103,
      "deflection": 0.007431451405601546,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.585)"
      },
      "parent_node_id": "node_1373",
      "improvement_over_parent": null
    },
    "node_1375": {
      "node_id": "node_1375",
      "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 220.16 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.15e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.15545594867424,
      "fos_buckling": 1.4462384166288917,
      "fos_yielding": 4.603190308256241,
      "deflection": 0.007154101928818884,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.266)"
      },
      "parent_node_id": "node_1374",
      "improvement_over_parent": null
    },
    "node_1376": {
      "node_id": "node_1376",
      "content": "MODIFICATION: Increase 8 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.637465286327,
      "fos_buckling": 1.5260633703778528,
      "fos_yielding": 4.604464739268823,
      "deflection": 0.006968589530338637,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.453)"
      },
      "parent_node_id": "node_1375",
      "improvement_over_parent": null
    },
    "node_1377": {
      "node_id": "node_1377",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 199)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 117.62 kg\n  Factor of Safety: 0.47\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": 117.61726067651112,
      "fos_buckling": 0.47194705796920866,
      "fos_yielding": 3.091366743588585,
      "deflection": 0.019395642780723973,
      "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 all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 135.27 kg\n  Factor of Safety: 0.53\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": 135.26633466308812,
      "fos_buckling": 0.5312052131208111,
      "fos_yielding": 3.54893253804071,
      "deflection": 0.016900447725434243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_1378",
      "improvement_over_parent": null
    },
    "node_1380": {
      "node_id": "node_1380",
      "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 139.60 kg\n  Factor of Safety: 0.53\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": 139.59889791718226,
      "fos_buckling": 0.5309015326683433,
      "fos_yielding": 3.5482900892499014,
      "deflection": 0.01622116779909652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.244)"
      },
      "parent_node_id": "node_1379",
      "improvement_over_parent": null
    },
    "node_1381": {
      "node_id": "node_1381",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n\nPerformance:\n  Mass: 166.51 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.5116924581001,
      "fos_buckling": 0.8631376975066817,
      "fos_yielding": 4.271971773386716,
      "deflection": 0.010702469069057915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006613)"
      },
      "parent_node_id": "node_1380",
      "improvement_over_parent": null
    },
    "node_1382": {
      "node_id": "node_1382",
      "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n\nPerformance:\n  Mass: 170.63 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.63179736905602,
      "fos_buckling": 0.8626703679578335,
      "fos_yielding": 4.271971773386719,
      "deflection": 0.010470428884166109,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.233)"
      },
      "parent_node_id": "node_1381",
      "improvement_over_parent": null
    },
    "node_1383": {
      "node_id": "node_1383",
      "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n\nPerformance:\n  Mass: 171.00 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.00223924207026,
      "fos_buckling": 0.8625863856995081,
      "fos_yielding": 4.271971773386717,
      "deflection": 0.010451994082116814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.248)"
      },
      "parent_node_id": "node_1382",
      "improvement_over_parent": null
    },
    "node_1384": {
      "node_id": "node_1384",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 205.88 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.8832098356279,
      "fos_buckling": 1.0033266011190263,
      "fos_yielding": 5.141081698387379,
      "deflection": 0.00871788521985527,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_1383",
      "improvement_over_parent": null
    },
    "node_1385": {
      "node_id": "node_1385",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.54250611247534,
      "fos_buckling": 1.525354155571075,
      "fos_yielding": 4.601788573059658,
      "deflection": 0.006971667202533079,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1384",
      "improvement_over_parent": null
    },
    "node_1386": {
      "node_id": "node_1386",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1385",
      "improvement_over_parent": null
    },
    "node_1387": {
      "node_id": "node_1387",
      "content": "INITIAL DESIGN (Trace 200)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0036)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0032)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n\nPerformance:\n  Mass: 96.96 kg\n  Factor of Safety: 0.51\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": 96.95658072087775,
      "fos_buckling": 0.5136171295199035,
      "fos_yielding": 2.1724060901446673,
      "deflection": 0.018454126200859438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1388": {
      "node_id": "node_1388",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n  Mass: 118.46 kg\n  Factor of Safety: 0.62\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": 118.46417414280126,
      "fos_buckling": 0.6150450547191274,
      "fos_yielding": 2.6522262723637855,
      "deflection": 0.015143179384859767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.233)"
      },
      "parent_node_id": "node_1387",
      "improvement_over_parent": null
    },
    "node_1389": {
      "node_id": "node_1389",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 137.46 kg\n  Factor of Safety: 0.70\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": 137.46286906971577,
      "fos_buckling": 0.7009300025921033,
      "fos_yielding": 3.075450000735034,
      "deflection": 0.013080289516352166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_1388",
      "improvement_over_parent": null
    },
    "node_1390": {
      "node_id": "node_1390",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 161.17 kg\n  Factor of Safety: 0.80\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": 161.173162387059,
      "fos_buckling": 0.8032704497926053,
      "fos_yielding": 3.602811524665316,
      "deflection": 0.011188017772802738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_1389",
      "improvement_over_parent": null
    },
    "node_1391": {
      "node_id": "node_1391",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 183.30 kg\n  Factor of Safety: 0.89\n  Max Deflection: 9.86e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.30142120490692,
      "fos_buckling": 0.8939705682994725,
      "fos_yielding": 4.09416624276312,
      "deflection": 0.00986363539944183,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_1390",
      "improvement_over_parent": null
    },
    "node_1392": {
      "node_id": "node_1392",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n  Mass: 203.02 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.79e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.01736987463877,
      "fos_buckling": 1.391224383698505,
      "fos_yielding": 4.109445710818653,
      "deflection": 0.007792539627824904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006081)"
      },
      "parent_node_id": "node_1391",
      "improvement_over_parent": null
    },
    "node_1393": {
      "node_id": "node_1393",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.59045296492454,
      "fos_buckling": 1.5256578435281025,
      "fos_yielding": 4.603024403208681,
      "deflection": 0.006970386913772797,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_1392",
      "improvement_over_parent": null
    },
    "node_1394": {
      "node_id": "node_1394",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1393",
      "improvement_over_parent": null
    },
    "node_1395": {
      "node_id": "node_1395",
      "content": "INITIAL DESIGN (Trace 201)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 139.60 kg\n  Factor of Safety: 0.54\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": 139.60302200155468,
      "fos_buckling": 0.538632804582,
      "fos_yielding": 3.608807620219634,
      "deflection": 0.016382130984933387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1396": {
      "node_id": "node_1396",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n\nPerformance:\n  Mass: 166.96 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.9565574607979,
      "fos_buckling": 0.764028659992059,
      "fos_yielding": 4.346097359846928,
      "deflection": 0.010834453316053918,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006730)"
      },
      "parent_node_id": "node_1395",
      "improvement_over_parent": null
    },
    "node_1397": {
      "node_id": "node_1397",
      "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0080)]\n\nPerformance:\n  Mass: 171.57 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.5704162499074,
      "fos_buckling": 0.7635654906137459,
      "fos_yielding": 4.346097359846928,
      "deflection": 0.01065917903433273,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.185)"
      },
      "parent_node_id": "node_1396",
      "improvement_over_parent": null
    },
    "node_1398": {
      "node_id": "node_1398",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0096)]\n\nPerformance:\n  Mass: 203.08 kg\n  Factor of Safety: 0.88\n  Max Deflection: 9.03e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.0798149089765,
      "fos_buckling": 0.8817860772132711,
      "fos_yielding": 5.143566660019565,
      "deflection": 0.009032632568823303,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_1397",
      "improvement_over_parent": null
    },
    "node_1399": {
      "node_id": "node_1399",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0096)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 228.20 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.19910988647743,
      "fos_buckling": 1.3899635177048622,
      "fos_yielding": 4.570239630150075,
      "deflection": 0.006992564980091222,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_1398",
      "improvement_over_parent": null
    },
    "node_1400": {
      "node_id": "node_1400",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1399",
      "improvement_over_parent": null
    },
    "node_1401": {
      "node_id": "node_1401",
      "content": "INITIAL DESIGN (Trace 202)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0019)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 131.21 kg\n  Factor of Safety: 0.69\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": 131.21217970707661,
      "fos_buckling": 0.6928026040604597,
      "fos_yielding": 2.1198130651903955,
      "deflection": 0.013719019179754776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1402": {
      "node_id": "node_1402",
      "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 131.61 kg\n  Factor of Safety: 0.69\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": 131.60860271260177,
      "fos_buckling": 0.6928026040604598,
      "fos_yielding": 2.594054964637389,
      "deflection": 0.01358831792055944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.241)"
      },
      "parent_node_id": "node_1401",
      "improvement_over_parent": null
    },
    "node_1403": {
      "node_id": "node_1403",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n\nPerformance:\n  Mass: 145.52 kg\n  Factor of Safety: 0.89\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": 145.5224975469244,
      "fos_buckling": 0.88669350317187,
      "fos_yielding": 2.606653296831603,
      "deflection": 0.010886636982362185,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004234)"
      },
      "parent_node_id": "node_1402",
      "improvement_over_parent": null
    },
    "node_1404": {
      "node_id": "node_1404",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n\nPerformance:\n  Mass: 186.09 kg\n  Factor of Safety: 1.11\n  Max Deflection: 8.55e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.0942363280536,
      "fos_buckling": 1.1109616804784943,
      "fos_yielding": 3.3415699561205665,
      "deflection": 0.008550786913719244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_1403",
      "improvement_over_parent": null
    },
    "node_1405": {
      "node_id": "node_1405",
      "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n\nPerformance:\n  Mass: 186.71 kg\n  Factor of Safety: 1.11\n  Max Deflection: 8.48e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.7148015910922,
      "fos_buckling": 1.108316651631776,
      "fos_yielding": 3.3336141921346667,
      "deflection": 0.008475428872244324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.351)"
      },
      "parent_node_id": "node_1404",
      "improvement_over_parent": null
    },
    "node_1406": {
      "node_id": "node_1406",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.18 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.1796609890787,
      "fos_buckling": 1.320924606328596,
      "fos_yielding": 4.0677557311635875,
      "deflection": 0.006997414416429526,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_1405",
      "improvement_over_parent": null
    },
    "node_1407": {
      "node_id": "node_1407",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 203)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1409": {
      "node_id": "node_1409",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n\nPerformance:\n  Mass: 126.14 kg\n  Factor of Safety: 0.76\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": 126.14225692670928,
      "fos_buckling": 0.7573075589829535,
      "fos_yielding": 3.7528832765462137,
      "deflection": 0.014580388637014694,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004842)"
      },
      "parent_node_id": "node_1408",
      "improvement_over_parent": null
    },
    "node_1410": {
      "node_id": "node_1410",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n\nPerformance:\n  Mass: 143.84 kg\n  Factor of Safety: 0.85\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": 143.83861464262122,
      "fos_buckling": 0.8463270527844599,
      "fos_yielding": 4.277517482071089,
      "deflection": 0.012819578631711624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_1409",
      "improvement_over_parent": null
    },
    "node_1411": {
      "node_id": "node_1411",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n  Mass: 161.62 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.6221723770372,
      "fos_buckling": 0.8443469604016112,
      "fos_yielding": 3.837410325822619,
      "deflection": 0.010663841341737531,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004906)"
      },
      "parent_node_id": "node_1410",
      "improvement_over_parent": null
    },
    "node_1412": {
      "node_id": "node_1412",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 194.71 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.89e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.70503516141827,
      "fos_buckling": 0.9822850998950429,
      "fos_yielding": 4.614313338862332,
      "deflection": 0.008891299217196951,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_1411",
      "improvement_over_parent": null
    },
    "node_1413": {
      "node_id": "node_1413",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 220.32 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.13e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.32156407071287,
      "fos_buckling": 1.4900001746372769,
      "fos_yielding": 4.629257664073757,
      "deflection": 0.007131996523071239,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1412",
      "improvement_over_parent": null
    },
    "node_1414": {
      "node_id": "node_1414",
      "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 223.96 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.95730497643268,
      "fos_buckling": 1.488143235681926,
      "fos_yielding": 4.606006986612702,
      "deflection": 0.007054530228048428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.186)"
      },
      "parent_node_id": "node_1413",
      "improvement_over_parent": null
    },
    "node_1415": {
      "node_id": "node_1415",
      "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.70032856262503,
      "fos_buckling": 1.5263671449345324,
      "fos_yielding": 4.60665037393109,
      "deflection": 0.006966464419090016,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.224)"
      },
      "parent_node_id": "node_1414",
      "improvement_over_parent": null
    },
    "node_1416": {
      "node_id": "node_1416",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1415",
      "improvement_over_parent": null
    },
    "node_1417": {
      "node_id": "node_1417",
      "content": "INITIAL DESIGN (Trace 204)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0036)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 154.92 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": 154.924224373937,
      "fos_buckling": 0.5439868268455472,
      "fos_yielding": 3.799123828146311,
      "deflection": 0.016540512701260883,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1418": {
      "node_id": "node_1418",
      "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 163.40 kg\n  Factor of Safety: 0.76\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": 163.39517249290972,
      "fos_buckling": 0.7643762463143143,
      "fos_yielding": 3.7252626281934176,
      "deflection": 0.014553110021551094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.600)"
      },
      "parent_node_id": "node_1417",
      "improvement_over_parent": null
    },
    "node_1419": {
      "node_id": "node_1419",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 183.29 kg\n  Factor of Safety: 0.84\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": 183.28535097000247,
      "fos_buckling": 0.8433255656499287,
      "fos_yielding": 4.175365406753502,
      "deflection": 0.012990395142274874,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_1418",
      "improvement_over_parent": null
    },
    "node_1420": {
      "node_id": "node_1420",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n  Mass: 185.23 kg\n  Factor of Safety: 1.29\n  Max Deflection: 8.52e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.22504248255402,
      "fos_buckling": 1.2894151462247048,
      "fos_yielding": 3.751615952381955,
      "deflection": 0.008523798696613412,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003025)"
      },
      "parent_node_id": "node_1419",
      "improvement_over_parent": null
    },
    "node_1421": {
      "node_id": "node_1421",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.73 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7324764792627,
      "fos_buckling": 1.5264257175219174,
      "fos_yielding": 4.605949246829995,
      "deflection": 0.0069660042498909565,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_1420",
      "improvement_over_parent": null
    },
    "node_1422": {
      "node_id": "node_1422",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1421",
      "improvement_over_parent": null
    },
    "node_1423": {
      "node_id": "node_1423",
      "content": "INITIAL DESIGN (Trace 205)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 125.25 kg\n  Factor of Safety: 0.66\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": 125.25074210856452,
      "fos_buckling": 0.6602494273842047,
      "fos_yielding": 3.1311646176810912,
      "deflection": 0.014191253914557587,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1424": {
      "node_id": "node_1424",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 149.45 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.4547114127283,
      "fos_buckling": 0.7698670009812526,
      "fos_yielding": 3.7350857820312475,
      "deflection": 0.011928059325864826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_1423",
      "improvement_over_parent": null
    },
    "node_1425": {
      "node_id": "node_1425",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 168.06 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.0603330763076,
      "fos_buckling": 0.8502574865318354,
      "fos_yielding": 4.199066318282987,
      "deflection": 0.010631493483940916,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_1424",
      "improvement_over_parent": null
    },
    "node_1426": {
      "node_id": "node_1426",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.87 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.86647284276745,
      "fos_buckling": 1.0033449815578657,
      "fos_yielding": 5.141182170393205,
      "deflection": 0.00871883816515229,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_1425",
      "improvement_over_parent": null
    },
    "node_1427": {
      "node_id": "node_1427",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5257691196149,
      "fos_buckling": 1.5254569992921323,
      "fos_yielding": 4.601835142896987,
      "deflection": 0.006972242992116128,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1426",
      "improvement_over_parent": null
    },
    "node_1428": {
      "node_id": "node_1428",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1427",
      "improvement_over_parent": null
    },
    "node_1429": {
      "node_id": "node_1429",
      "content": "INITIAL DESIGN (Trace 206)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 158.99 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.99479467525023,
      "fos_buckling": 0.8973855912693653,
      "fos_yielding": 3.777563968813363,
      "deflection": 0.011979460255439929,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1430": {
      "node_id": "node_1430",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n  Mass: 181.41 kg\n  Factor of Safety: 0.89\n  Max Deflection: 9.90e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.41349570724236,
      "fos_buckling": 0.8947457062558558,
      "fos_yielding": 3.777563968813364,
      "deflection": 0.009895114111797483,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006293)"
      },
      "parent_node_id": "node_1429",
      "improvement_over_parent": null
    },
    "node_1431": {
      "node_id": "node_1431",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 203.39 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.85e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.38763437407465,
      "fos_buckling": 0.9811304655439672,
      "fos_yielding": 4.249431343360339,
      "deflection": 0.008849469516713709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_1430",
      "improvement_over_parent": null
    },
    "node_1432": {
      "node_id": "node_1432",
      "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 204.80 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.85e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.79877366760348,
      "fos_buckling": 0.9811304655439672,
      "fos_yielding": 4.599106199367461,
      "deflection": 0.008849469516713709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.522)"
      },
      "parent_node_id": "node_1431",
      "improvement_over_parent": null
    },
    "node_1433": {
      "node_id": "node_1433",
      "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 205.65 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.65406084543554,
      "fos_buckling": 0.9809109039029132,
      "fos_yielding": 4.589685472531179,
      "deflection": 0.008815237657069746,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.613)"
      },
      "parent_node_id": "node_1432",
      "improvement_over_parent": null
    },
    "node_1434": {
      "node_id": "node_1434",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.74520897409585,
      "fos_buckling": 1.52662189645736,
      "fos_yielding": 4.606696970463759,
      "deflection": 0.00696554618818143,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1433",
      "improvement_over_parent": null
    },
    "node_1435": {
      "node_id": "node_1435",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1434",
      "improvement_over_parent": null
    },
    "node_1436": {
      "node_id": "node_1436",
      "content": "INITIAL DESIGN (Trace 207)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 143.14 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.138361940521,
      "fos_buckling": 0.857899149455814,
      "fos_yielding": 3.2251694460034988,
      "deflection": 0.011028628543231552,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1437": {
      "node_id": "node_1437",
      "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 149.32 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.31931244731405,
      "fos_buckling": 0.9934258894825009,
      "fos_yielding": 3.2233025316266364,
      "deflection": 0.010417760739514545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.403)"
      },
      "parent_node_id": "node_1436",
      "improvement_over_parent": null
    },
    "node_1438": {
      "node_id": "node_1438",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 179.89 kg\n  Factor of Safety: 1.17\n  Max Deflection: 8.68e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.89437171998318,
      "fos_buckling": 1.1748520959304978,
      "fos_yielding": 3.8768065295899414,
      "deflection": 0.008677661939585584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_1437",
      "improvement_over_parent": null
    },
    "node_1439": {
      "node_id": "node_1439",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 215.60 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.27e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.5994500959572,
      "fos_buckling": 1.3773832798609884,
      "fos_yielding": 4.636946963376229,
      "deflection": 0.0072703305790254615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_1438",
      "improvement_over_parent": null
    },
    "node_1440": {
      "node_id": "node_1440",
      "content": "MODIFICATION: Increase 9 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 220.70 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.16e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.70007414415142,
      "fos_buckling": 1.3794923079920063,
      "fos_yielding": 4.602729951605331,
      "deflection": 0.007155689250607802,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.280)"
      },
      "parent_node_id": "node_1439",
      "improvement_over_parent": null
    },
    "node_1441": {
      "node_id": "node_1441",
      "content": "MODIFICATION: Increase 2 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6051131414717,
      "fos_buckling": 1.525778708019799,
      "fos_yielding": 4.604152037532773,
      "deflection": 0.006969477487060479,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.499)"
      },
      "parent_node_id": "node_1440",
      "improvement_over_parent": null
    },
    "node_1442": {
      "node_id": "node_1442",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1441",
      "improvement_over_parent": null
    },
    "node_1443": {
      "node_id": "node_1443",
      "content": "INITIAL DESIGN (Trace 208)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, 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_1444": {
      "node_id": "node_1444",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n\nPerformance:\n  Mass: 116.72 kg\n  Factor of Safety: 0.16\n  Max Deflection: 6.49e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.72405973005611,
      "fos_buckling": 0.1635253559274406,
      "fos_yielding": 0.9137188351054761,
      "deflection": 64939299565426.58,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004618)"
      },
      "parent_node_id": "node_1443",
      "improvement_over_parent": null
    },
    "node_1445": {
      "node_id": "node_1445",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n  Mass: 134.23 kg\n  Factor of Safety: 0.44\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": 134.2349916660465,
      "fos_buckling": 0.4388023575226773,
      "fos_yielding": 2.2242217393070676,
      "deflection": 0.017684732055398174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004826)"
      },
      "parent_node_id": "node_1444",
      "improvement_over_parent": null
    },
    "node_1446": {
      "node_id": "node_1446",
      "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n  Mass: 135.02 kg\n  Factor of Safety: 0.44\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": 135.02095303374267,
      "fos_buckling": 0.4387113326827449,
      "fos_yielding": 2.224106977855355,
      "deflection": 0.01728757507804533,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.520)"
      },
      "parent_node_id": "node_1445",
      "improvement_over_parent": null
    },
    "node_1447": {
      "node_id": "node_1447",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 157.87 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.8716424262722,
      "fos_buckling": 0.8614635170301241,
      "fos_yielding": 2.5264121072263293,
      "deflection": 0.0100811621641817,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005513)"
      },
      "parent_node_id": "node_1446",
      "improvement_over_parent": null
    },
    "node_1448": {
      "node_id": "node_1448",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 185.15 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.62e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.15108797764572,
      "fos_buckling": 0.9991993432138891,
      "fos_yielding": 2.9709394227821533,
      "deflection": 0.00862101335485367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_1447",
      "improvement_over_parent": null
    },
    "node_1449": {
      "node_id": "node_1449",
      "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0080)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 190.56 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.39e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.56330504591017,
      "fos_buckling": 1.0093318693582938,
      "fos_yielding": 3.001066665738456,
      "deflection": 0.00838985225447048,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.224)"
      },
      "parent_node_id": "node_1448",
      "improvement_over_parent": null
    },
    "node_1450": {
      "node_id": "node_1450",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0058)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0099)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 232.74 kg\n  Factor of Safety: 1.21\n  Max Deflection: 6.90e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.73859730677705,
      "fos_buckling": 1.2125801433856216,
      "fos_yielding": 3.683240709453332,
      "deflection": 0.006899766521951121,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_1449",
      "improvement_over_parent": null
    },
    "node_1451": {
      "node_id": "node_1451",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1450",
      "improvement_over_parent": null
    },
    "node_1452": {
      "node_id": "node_1452",
      "content": "INITIAL DESIGN (Trace 209)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 147.90 kg\n  Factor of Safety: 0.84\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": 147.89581889932862,
      "fos_buckling": 0.837515821428594,
      "fos_yielding": 4.228093791921079,
      "deflection": 0.01298645262243301,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1453": {
      "node_id": "node_1453",
      "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 148.20 kg\n  Factor of Safety: 0.84\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": 148.1973206089185,
      "fos_buckling": 0.8374492626568196,
      "fos_yielding": 4.228093791921079,
      "deflection": 0.012983670382384621,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.196)"
      },
      "parent_node_id": "node_1452",
      "improvement_over_parent": null
    },
    "node_1454": {
      "node_id": "node_1454",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 168.83 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.8286650264997,
      "fos_buckling": 0.8351783560980557,
      "fos_yielding": 3.7729290058210796,
      "deflection": 0.010690523098238095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005752)"
      },
      "parent_node_id": "node_1453",
      "improvement_over_parent": null
    },
    "node_1455": {
      "node_id": "node_1455",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 205.57 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.57309618985977,
      "fos_buckling": 0.9806142232661301,
      "fos_yielding": 4.587954556379177,
      "deflection": 0.008818537815530473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_1454",
      "improvement_over_parent": null
    },
    "node_1456": {
      "node_id": "node_1456",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.66424431852008,
      "fos_buckling": 1.5261454047213128,
      "fos_yielding": 4.60496141988318,
      "deflection": 0.006968093496075805,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1455",
      "improvement_over_parent": null
    },
    "node_1457": {
      "node_id": "node_1457",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1456",
      "improvement_over_parent": null
    },
    "node_1458": {
      "node_id": "node_1458",
      "content": "INITIAL DESIGN (Trace 210)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0042)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 122.54 kg\n  Factor of Safety: 0.60\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": 122.54293389527666,
      "fos_buckling": 0.5963408986226366,
      "fos_yielding": 2.4023392495262064,
      "deflection": 0.019291775486816574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1459": {
      "node_id": "node_1459",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 148.81 kg\n  Factor of Safety: 0.71\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": 148.80907502137805,
      "fos_buckling": 0.7088610034951528,
      "fos_yielding": 2.9188082075506863,
      "deflection": 0.01591408131501278,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1458",
      "improvement_over_parent": null
    },
    "node_1460": {
      "node_id": "node_1460",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 188.83 kg\n  Factor of Safety: 0.87\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": 188.82719029149482,
      "fos_buckling": 0.8700366054785637,
      "fos_yielding": 3.707232329496406,
      "deflection": 0.012574438914925136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_1459",
      "improvement_over_parent": null
    },
    "node_1461": {
      "node_id": "node_1461",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 224.60 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.59758778563173,
      "fos_buckling": 1.0036926044581689,
      "fos_yielding": 4.413902255335086,
      "deflection": 0.01059663058335583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_1460",
      "improvement_over_parent": null
    },
    "node_1462": {
      "node_id": "node_1462",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 226.98 kg\n  Factor of Safety: 1.46\n  Max Deflection: 7.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.98227009721788,
      "fos_buckling": 1.4575331035601433,
      "fos_yielding": 3.9724431317221813,
      "deflection": 0.00701703730406324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_1461",
      "improvement_over_parent": null
    },
    "node_1463": {
      "node_id": "node_1463",
      "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 232.16 kg\n  Factor of Safety: 1.46\n  Max Deflection: 6.87e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.1604295213056,
      "fos_buckling": 1.4570912862591574,
      "fos_yielding": 3.9712389778690094,
      "deflection": 0.0068674291392611135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.179)"
      },
      "parent_node_id": "node_1462",
      "improvement_over_parent": null
    },
    "node_1464": {
      "node_id": "node_1464",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1463",
      "improvement_over_parent": null
    },
    "node_1465": {
      "node_id": "node_1465",
      "content": "INITIAL DESIGN (Trace 211)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0023)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0027)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0019)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0028)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0032)]\n\nPerformance:\n  Mass: 85.53 kg\n  Factor of Safety: 0.32\n  Max Deflection: 3.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 85.52568536375335,
      "fos_buckling": 0.322858351128979,
      "fos_yielding": 2.1954682444584512,
      "deflection": 0.030643193049656653,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1466": {
      "node_id": "node_1466",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0023)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0027)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0019)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0028)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0032)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n\nPerformance:\n  Mass: 86.51 kg\n  Factor of Safety: 0.54\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": 86.5124655055564,
      "fos_buckling": 0.5383240902890528,
      "fos_yielding": 1.9161207759007806,
      "deflection": 0.018470091771325067,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.001485)"
      },
      "parent_node_id": "node_1465",
      "improvement_over_parent": null
    },
    "node_1467": {
      "node_id": "node_1467",
      "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0027)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0019)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0028)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0032)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n\nPerformance:\n  Mass: 89.10 kg\n  Factor of Safety: 0.51\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": 89.10357427765211,
      "fos_buckling": 0.5122144560726446,
      "fos_yielding": 1.9154477828517222,
      "deflection": 0.01797101853509849,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.299)"
      },
      "parent_node_id": "node_1466",
      "improvement_over_parent": null
    },
    "node_1468": {
      "node_id": "node_1468",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0026)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n\nPerformance:\n  Mass: 116.65 kg\n  Factor of Safety: 0.66\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": 116.64530683467557,
      "fos_buckling": 0.6615701709296123,
      "fos_yielding": 2.5040575975786363,
      "deflection": 0.013765529734352348,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_1467",
      "improvement_over_parent": null
    },
    "node_1469": {
      "node_id": "node_1469",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0031)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n  Mass: 138.76 kg\n  Factor of Safety: 0.78\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": 138.756662354265,
      "fos_buckling": 0.7784236100123365,
      "fos_yielding": 2.97539917811963,
      "deflection": 0.01159729126024596,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_1468",
      "improvement_over_parent": null
    },
    "node_1470": {
      "node_id": "node_1470",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n  Mass: 172.57 kg\n  Factor of Safety: 0.95\n  Max Deflection: 9.36e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.56751583162247,
      "fos_buckling": 0.9518536591580894,
      "fos_yielding": 3.6940057201918273,
      "deflection": 0.009356031515428758,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_1469",
      "improvement_over_parent": null
    },
    "node_1471": {
      "node_id": "node_1471",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 215.80 kg\n  Factor of Safety: 1.16\n  Max Deflection: 7.51e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.79552077134622,
      "fos_buckling": 1.1643431601489382,
      "fos_yielding": 4.60890883876401,
      "deflection": 0.0075132227930614776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_1470",
      "improvement_over_parent": null
    },
    "node_1472": {
      "node_id": "node_1472",
      "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0117)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 229.56 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.25e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.5629460449503,
      "fos_buckling": 1.2513104293397517,
      "fos_yielding": 4.609849300243454,
      "deflection": 0.007248661106607542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.631)"
      },
      "parent_node_id": "node_1471",
      "improvement_over_parent": null
    },
    "node_1473": {
      "node_id": "node_1473",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1472",
      "improvement_over_parent": null
    },
    "node_1474": {
      "node_id": "node_1474",
      "content": "INITIAL DESIGN (Trace 212)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n\nPerformance:\n  Mass: 130.77 kg\n  Factor of Safety: 0.42\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.7710901870525,
      "fos_buckling": 0.4171009003336323,
      "fos_yielding": 2.5357395120467365,
      "deflection": 0.020309158626012794,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1475": {
      "node_id": "node_1475",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n\nPerformance:\n  Mass: 149.70 kg\n  Factor of Safety: 0.42\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": 149.7049472891748,
      "fos_buckling": 0.4160604120674287,
      "fos_yielding": 2.533733699170629,
      "deflection": 0.01654865023965407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005887)"
      },
      "parent_node_id": "node_1474",
      "improvement_over_parent": null
    },
    "node_1476": {
      "node_id": "node_1476",
      "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0095)]\n\nPerformance:\n  Mass: 159.86 kg\n  Factor of Safety: 0.42\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": 159.8599672850695,
      "fos_buckling": 0.4155044905690138,
      "fos_yielding": 2.5326592046139176,
      "deflection": 0.016267427739806984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.613)"
      },
      "parent_node_id": "node_1475",
      "improvement_over_parent": null
    },
    "node_1477": {
      "node_id": "node_1477",
      "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0095)]\n\nPerformance:\n  Mass: 165.26 kg\n  Factor of Safety: 0.55\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": 165.2573773313618,
      "fos_buckling": 0.5525809615127134,
      "fos_yielding": 2.5309478014707207,
      "deflection": 0.014840105151009782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.420)"
      },
      "parent_node_id": "node_1476",
      "improvement_over_parent": null
    },
    "node_1478": {
      "node_id": "node_1478",
      "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0122)]\n\nPerformance:\n  Mass: 172.26 kg\n  Factor of Safety: 0.55\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": 172.26439257064862,
      "fos_buckling": 0.5520723373042494,
      "fos_yielding": 2.530207926771252,
      "deflection": 0.01473116191793109,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.290)"
      },
      "parent_node_id": "node_1477",
      "improvement_over_parent": null
    },
    "node_1479": {
      "node_id": "node_1479",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0122)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n  Mass: 200.58 kg\n  Factor of Safety: 0.99\n  Max Deflection: 8.67e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.5817285942463,
      "fos_buckling": 0.9898965475979642,
      "fos_yielding": 3.213346742868103,
      "deflection": 0.008671157759972977,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006987)"
      },
      "parent_node_id": "node_1478",
      "improvement_over_parent": null
    },
    "node_1480": {
      "node_id": "node_1480",
      "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0122)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n  Mass: 201.53 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.54e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.52570680670817,
      "fos_buckling": 1.0074612366046856,
      "fos_yielding": 3.2010530631854754,
      "deflection": 0.00853510854542999,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.513)"
      },
      "parent_node_id": "node_1479",
      "improvement_over_parent": null
    },
    "node_1481": {
      "node_id": "node_1481",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0057)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0142)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 230.13 kg\n  Factor of Safety: 1.14\n  Max Deflection: 7.48e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.13203902563288,
      "fos_buckling": 1.138841651999476,
      "fos_yielding": 3.675476221995762,
      "deflection": 0.007480865190370212,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_1480",
      "improvement_over_parent": null
    },
    "node_1482": {
      "node_id": "node_1482",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1481",
      "improvement_over_parent": null
    },
    "node_1483": {
      "node_id": "node_1483",
      "content": "INITIAL DESIGN (Trace 213)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 213.62 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.42e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.62136015641485,
      "fos_buckling": 1.383296516659202,
      "fos_yielding": 4.678849350345285,
      "deflection": 0.007418116507803732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1484": {
      "node_id": "node_1484",
      "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 214.02 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.37e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.0163783709464,
      "fos_buckling": 1.39334233826106,
      "fos_yielding": 4.673039424566232,
      "deflection": 0.0073705484879860285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.218)"
      },
      "parent_node_id": "node_1483",
      "improvement_over_parent": null
    },
    "node_1485": {
      "node_id": "node_1485",
      "content": "MODIFICATION: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 218.79 kg\n  Factor of Safety: 1.43\n  Max Deflection: 7.20e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.79362525141377,
      "fos_buckling": 1.4286437578131244,
      "fos_yielding": 4.671662656128911,
      "deflection": 0.007195363914886784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.190)"
      },
      "parent_node_id": "node_1484",
      "improvement_over_parent": null
    },
    "node_1486": {
      "node_id": "node_1486",
      "content": "MODIFICATION: Increase 9 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.62801968187316,
      "fos_buckling": 1.5259461686713294,
      "fos_yielding": 4.604221052333589,
      "deflection": 0.006969018205185131,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.595)"
      },
      "parent_node_id": "node_1485",
      "improvement_over_parent": null
    },
    "node_1487": {
      "node_id": "node_1487",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1486",
      "improvement_over_parent": null
    },
    "node_1488": {
      "node_id": "node_1488",
      "content": "INITIAL DESIGN (Trace 214)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1489": {
      "node_id": "node_1489",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 144.50 kg\n  Factor of Safety: 0.43\n  Max Deflection: 3.87e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.50169824321733,
      "fos_buckling": 0.4269967247688883,
      "fos_yielding": 4.821419439024695,
      "deflection": 38674096100078.0,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1488",
      "improvement_over_parent": null
    },
    "node_1490": {
      "node_id": "node_1490",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 176.90 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.89531788333562,
      "fos_buckling": 0.9841595578558244,
      "fos_yielding": 5.14532698750567,
      "deflection": 0.01070053589781785,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1489",
      "improvement_over_parent": null
    },
    "node_1491": {
      "node_id": "node_1491",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 202.51 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.51184679263022,
      "fos_buckling": 1.004201415007415,
      "fos_yielding": 5.14532698750567,
      "deflection": 0.008712052791565979,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1490",
      "improvement_over_parent": null
    },
    "node_1492": {
      "node_id": "node_1492",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63114177013117,
      "fos_buckling": 1.5259801124081873,
      "fos_yielding": 4.6041986555255745,
      "deflection": 0.0069690140420197695,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_1491",
      "improvement_over_parent": null
    },
    "node_1493": {
      "node_id": "node_1493",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1492",
      "improvement_over_parent": null
    },
    "node_1494": {
      "node_id": "node_1494",
      "content": "INITIAL DESIGN (Trace 215)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 103.72 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": 103.71929869272347,
      "fos_buckling": 0.6571761541484263,
      "fos_yielding": 3.1879650212294472,
      "deflection": 0.019118960324193836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1495": {
      "node_id": "node_1495",
      "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 109.52 kg\n  Factor of Safety: 0.66\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": 109.51601145166968,
      "fos_buckling": 0.6566716160059892,
      "fos_yielding": 3.1879650212294472,
      "deflection": 0.017127420875544593,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.522)"
      },
      "parent_node_id": "node_1494",
      "improvement_over_parent": null
    },
    "node_1496": {
      "node_id": "node_1496",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n  Mass: 125.06 kg\n  Factor of Safety: 0.66\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": 125.06435959583106,
      "fos_buckling": 0.6553221264895934,
      "fos_yielding": 2.8480243492771917,
      "deflection": 0.014110573661715307,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004255)"
      },
      "parent_node_id": "node_1495",
      "improvement_over_parent": null
    },
    "node_1497": {
      "node_id": "node_1497",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 155.90 kg\n  Factor of Safety: 0.79\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": 155.89558132018203,
      "fos_buckling": 0.7927221196899298,
      "fos_yielding": 3.5461534366557785,
      "deflection": 0.01136242284592236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_1496",
      "improvement_over_parent": null
    },
    "node_1498": {
      "node_id": "node_1498",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 202.06 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.05506934726142,
      "fos_buckling": 0.9810308777588882,
      "fos_yielding": 4.588452911304695,
      "deflection": 0.008815741107864431,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_1497",
      "improvement_over_parent": null
    },
    "node_1499": {
      "node_id": "node_1499",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.67159825655602,
      "fos_buckling": 1.5259430199498276,
      "fos_yielding": 4.604850308851024,
      "deflection": 0.006967676864474231,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1498",
      "improvement_over_parent": null
    },
    "node_1500": {
      "node_id": "node_1500",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1499",
      "improvement_over_parent": null
    },
    "node_1501": {
      "node_id": "node_1501",
      "content": "INITIAL DESIGN (Trace 216)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 133.61 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.61474763733094,
      "fos_buckling": 0.9755000222396283,
      "fos_yielding": 2.8712699722468047,
      "deflection": 0.011912401906826678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1502": {
      "node_id": "node_1502",
      "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 138.15 kg\n  Factor of Safety: 0.97\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": 138.14727105187887,
      "fos_buckling": 0.9709406670718347,
      "fos_yielding": 2.90623466471588,
      "deflection": 0.01140722502655277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.361)"
      },
      "parent_node_id": "node_1501",
      "improvement_over_parent": null
    },
    "node_1503": {
      "node_id": "node_1503",
      "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 141.02 kg\n  Factor of Safety: 1.01\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": 141.01690475298895,
      "fos_buckling": 1.0098585277712695,
      "fos_yielding": 2.905320100391236,
      "deflection": 0.011101074974326984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.206)"
      },
      "parent_node_id": "node_1502",
      "improvement_over_parent": null
    },
    "node_1504": {
      "node_id": "node_1504",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 178.49 kg\n  Factor of Safety: 1.24\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.49217816964546,
      "fos_buckling": 1.2370304101276541,
      "fos_yielding": 3.671886887166275,
      "deflection": 0.008807930759172128,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_1503",
      "improvement_over_parent": null
    },
    "node_1505": {
      "node_id": "node_1505",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 224.08 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.0834366409036,
      "fos_buckling": 1.4907044812019568,
      "fos_yielding": 4.601276152436156,
      "deflection": 0.007052339283958935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1504",
      "improvement_over_parent": null
    },
    "node_1506": {
      "node_id": "node_1506",
      "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5127166472428,
      "fos_buckling": 1.5253397783993115,
      "fos_yielding": 4.601856185639607,
      "deflection": 0.006972479606907116,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.202)"
      },
      "parent_node_id": "node_1505",
      "improvement_over_parent": null
    },
    "node_1507": {
      "node_id": "node_1507",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1506",
      "improvement_over_parent": null
    },
    "node_1508": {
      "node_id": "node_1508",
      "content": "INITIAL DESIGN (Trace 217)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 162.75 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.7517380780987,
      "fos_buckling": 0.8807007174812626,
      "fos_yielding": 3.8929771262323207,
      "deflection": 0.010941437878957194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1509": {
      "node_id": "node_1509",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n\nPerformance:\n  Mass: 182.04 kg\n  Factor of Safety: 1.18\n  Max Deflection: 8.88e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.04301168940458,
      "fos_buckling": 1.1824115063450888,
      "fos_yielding": 3.9042089499124053,
      "deflection": 0.00887773806375617,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005939)"
      },
      "parent_node_id": "node_1508",
      "improvement_over_parent": null
    },
    "node_1510": {
      "node_id": "node_1510",
      "content": "MODIFICATION: Increase 1 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n\nPerformance:\n  Mass: 190.46 kg\n  Factor of Safety: 1.10\n  Max Deflection: 8.42e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.45789249871757,
      "fos_buckling": 1.1035362096835322,
      "fos_yielding": 3.962588192501037,
      "deflection": 0.008423534167943308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.560)"
      },
      "parent_node_id": "node_1509",
      "improvement_over_parent": null
    },
    "node_1511": {
      "node_id": "node_1511",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 218.12 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.38e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.11641969917844,
      "fos_buckling": 1.2433233854699723,
      "fos_yielding": 4.532497739434749,
      "deflection": 0.007376073246828303,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_1510",
      "improvement_over_parent": null
    },
    "node_1512": {
      "node_id": "node_1512",
      "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0099)]\n\nPerformance:\n  Mass: 226.62 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.24e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.61645459111384,
      "fos_buckling": 1.240144202588412,
      "fos_yielding": 4.533081921044797,
      "deflection": 0.007244525513777213,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.443)"
      },
      "parent_node_id": "node_1511",
      "improvement_over_parent": null
    },
    "node_1513": {
      "node_id": "node_1513",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1512",
      "improvement_over_parent": null
    },
    "node_1514": {
      "node_id": "node_1514",
      "content": "INITIAL DESIGN (Trace 218)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 179.13 kg\n  Factor of Safety: 1.27\n  Max Deflection: 8.95e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.12728220616674,
      "fos_buckling": 1.2732486567197463,
      "fos_yielding": 3.7714058937768917,
      "deflection": 0.008946498600482914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1515": {
      "node_id": "node_1515",
      "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 186.64 kg\n  Factor of Safety: 1.29\n  Max Deflection: 8.43e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.638172036267,
      "fos_buckling": 1.285858220255191,
      "fos_yielding": 3.8330922280926467,
      "deflection": 0.008432997705431886,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.506)"
      },
      "parent_node_id": "node_1514",
      "improvement_over_parent": null
    },
    "node_1516": {
      "node_id": "node_1516",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 224.42 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.04e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.41878677759564,
      "fos_buckling": 1.4944716126032305,
      "fos_yielding": 4.60204714796021,
      "deflection": 0.007043477617405956,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_1515",
      "improvement_over_parent": null
    },
    "node_1517": {
      "node_id": "node_1517",
      "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.54205289862261,
      "fos_buckling": 1.5255999691962516,
      "fos_yielding": 4.602566666258565,
      "deflection": 0.006971637706166549,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.181)"
      },
      "parent_node_id": "node_1516",
      "improvement_over_parent": null
    },
    "node_1518": {
      "node_id": "node_1518",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1517",
      "improvement_over_parent": null
    },
    "node_1519": {
      "node_id": "node_1519",
      "content": "INITIAL DESIGN (Trace 219)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\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_1520": {
      "node_id": "node_1520",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 172.76 kg\n  Factor of Safety: 0.59\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": 172.76469029090984,
      "fos_buckling": 0.5941115154972064,
      "fos_yielding": 3.8542275967735673,
      "deflection": 0.013696633690734221,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1519",
      "improvement_over_parent": null
    },
    "node_1521": {
      "node_id": "node_1521",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 194.86 kg\n  Factor of Safety: 0.59\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": 194.85583841957015,
      "fos_buckling": 0.592392073280089,
      "fos_yielding": 3.851440891625397,
      "deflection": 0.012092591356529543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1520",
      "improvement_over_parent": null
    },
    "node_1522": {
      "node_id": "node_1522",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63343316245565,
      "fos_buckling": 1.5259823311131833,
      "fos_yielding": 4.604201722397661,
      "deflection": 0.006968952390619957,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_1521",
      "improvement_over_parent": null
    },
    "node_1523": {
      "node_id": "node_1523",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1522",
      "improvement_over_parent": null
    },
    "node_1524": {
      "node_id": "node_1524",
      "content": "INITIAL DESIGN (Trace 220)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0016)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 121.31 kg\n  Factor of Safety: 0.32\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": 121.31447421935906,
      "fos_buckling": 0.3235477533670073,
      "fos_yielding": 1.2306521748138903,
      "deflection": 0.0217087416761168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1525": {
      "node_id": "node_1525",
      "content": "MODIFICATION: Increase 6 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 122.12 kg\n  Factor of Safety: 0.32\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": 122.11782224465492,
      "fos_buckling": 0.3235477533670073,
      "fos_yielding": 1.8479426257987646,
      "deflection": 0.020739932231171015,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.522)"
      },
      "parent_node_id": "node_1524",
      "improvement_over_parent": null
    },
    "node_1526": {
      "node_id": "node_1526",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n  Mass: 141.90 kg\n  Factor of Safety: 0.32\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": 141.9027130906374,
      "fos_buckling": 0.3227037271442105,
      "fos_yielding": 1.846742574944964,
      "deflection": 0.018837613817033312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005437)"
      },
      "parent_node_id": "node_1525",
      "improvement_over_parent": null
    },
    "node_1527": {
      "node_id": "node_1527",
      "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n  Mass: 143.03 kg\n  Factor of Safety: 0.32\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": 143.02962374304087,
      "fos_buckling": 0.3227037271442105,
      "fos_yielding": 1.8467425749449644,
      "deflection": 0.018677732300727685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.536)"
      },
      "parent_node_id": "node_1526",
      "improvement_over_parent": null
    },
    "node_1528": {
      "node_id": "node_1528",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 185.27 kg\n  Factor of Safety: 0.41\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": 185.2698196507538,
      "fos_buckling": 0.40850617786001187,
      "fos_yielding": 2.4073165615253256,
      "deflection": 0.01444110255074676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_1527",
      "improvement_over_parent": null
    },
    "node_1529": {
      "node_id": "node_1529",
      "content": "MODIFICATION: Increase 3 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 192.88 kg\n  Factor of Safety: 0.59\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": 192.88458484312306,
      "fos_buckling": 0.5920563271966423,
      "fos_yielding": 2.4055164395485242,
      "deflection": 0.012654994492238657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.595)"
      },
      "parent_node_id": "node_1528",
      "improvement_over_parent": null
    },
    "node_1530": {
      "node_id": "node_1530",
      "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 194.77 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.21e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.77004845607522,
      "fos_buckling": 0.5920563271966421,
      "fos_yielding": 3.849087237745747,
      "deflection": 0.012098520826623464,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.658)"
      },
      "parent_node_id": "node_1529",
      "improvement_over_parent": null
    },
    "node_1531": {
      "node_id": "node_1531",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5476431989607,
      "fos_buckling": 1.525773319528109,
      "fos_yielding": 4.601516159829579,
      "deflection": 0.00697142267517295,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_1530",
      "improvement_over_parent": null
    },
    "node_1532": {
      "node_id": "node_1532",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 221)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 196.41 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.4065631066692,
      "fos_buckling": 1.0050044598242007,
      "fos_yielding": 5.148075568176694,
      "deflection": 0.008705270500522945,
      "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: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 214.53 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.26e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.5334887726252,
      "fos_buckling": 1.4016682910846054,
      "fos_yielding": 4.6933015960117315,
      "deflection": 0.007262798774168098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005007)"
      },
      "parent_node_id": "node_1533",
      "improvement_over_parent": null
    },
    "node_1535": {
      "node_id": "node_1535",
      "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0116)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 226.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 6.89e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 226.57735080124158,
      "fos_buckling": 1.536399038013408,
      "fos_yielding": 4.744542548475293,
      "deflection": 0.006893702543212713,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.422)"
      },
      "parent_node_id": "node_1534",
      "improvement_over_parent": null
    },
    "node_1536": {
      "node_id": "node_1536",
      "content": "MODIFICATION: Increase 3 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0116)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 232.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.79e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 232.68780132701525,
      "fos_buckling": 1.5330968272966903,
      "fos_yielding": 4.707291946835559,
      "deflection": 0.006794445201326025,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.431)"
      },
      "parent_node_id": "node_1535",
      "improvement_over_parent": null
    },
    "node_1537": {
      "node_id": "node_1537",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1536",
      "improvement_over_parent": null
    },
    "node_1538": {
      "node_id": "node_1538",
      "content": "INITIAL DESIGN (Trace 222)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 142.66 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.6557516583657,
      "fos_buckling": 0.8917276313108787,
      "fos_yielding": 2.6228774634503695,
      "deflection": 0.011091282423764025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1539": {
      "node_id": "node_1539",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 159.42 kg\n  Factor of Safety: 0.99\n  Max Deflection: 9.94e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.42138998380003,
      "fos_buckling": 0.9878146419184408,
      "fos_yielding": 2.9335647203751276,
      "deflection": 0.009943094601387745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_1538",
      "improvement_over_parent": null
    },
    "node_1540": {
      "node_id": "node_1540",
      "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 160.12 kg\n  Factor of Safety: 1.14\n  Max Deflection: 9.83e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.11882447851184,
      "fos_buckling": 1.1393721643281,
      "fos_yielding": 3.2460951038798576,
      "deflection": 0.00983244365958805,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.312)"
      },
      "parent_node_id": "node_1539",
      "improvement_over_parent": null
    },
    "node_1541": {
      "node_id": "node_1541",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 182.91 kg\n  Factor of Safety: 1.28\n  Max Deflection: 8.63e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.91028510698385,
      "fos_buckling": 1.2759834548572162,
      "fos_yielding": 3.7052829881035922,
      "deflection": 0.008629450175523287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_1540",
      "improvement_over_parent": null
    },
    "node_1542": {
      "node_id": "node_1542",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.40 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.39634301025995,
      "fos_buckling": 1.5247399329403042,
      "fos_yielding": 4.5995192773434805,
      "deflection": 0.006976065246451339,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_1541",
      "improvement_over_parent": null
    },
    "node_1543": {
      "node_id": "node_1543",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1542",
      "improvement_over_parent": null
    },
    "node_1544": {
      "node_id": "node_1544",
      "content": "INITIAL DESIGN (Trace 223)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0029)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n  Mass: 96.78 kg\n  Factor of Safety: 0.55\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": 96.77945260744404,
      "fos_buckling": 0.552736754304865,
      "fos_yielding": 2.564888518167875,
      "deflection": 0.01912660124861253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1545": {
      "node_id": "node_1545",
      "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n  Mass: 99.90 kg\n  Factor of Safety: 0.55\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": 99.90092469684483,
      "fos_buckling": 0.5525079771173755,
      "fos_yielding": 2.5648885181678756,
      "deflection": 0.017698919277066863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.297)"
      },
      "parent_node_id": "node_1544",
      "improvement_over_parent": null
    },
    "node_1546": {
      "node_id": "node_1546",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n\nPerformance:\n  Mass: 110.69 kg\n  Factor of Safety: 0.84\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": 110.6879085690624,
      "fos_buckling": 0.838152606188018,
      "fos_yielding": 2.3025945643770473,
      "deflection": 0.014255981353153915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003241)"
      },
      "parent_node_id": "node_1545",
      "improvement_over_parent": null
    },
    "node_1547": {
      "node_id": "node_1547",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n\nPerformance:\n  Mass: 136.03 kg\n  Factor of Safety: 1.01\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": 136.02673764432052,
      "fos_buckling": 1.0075543454932536,
      "fos_yielding": 2.8266509913888145,
      "deflection": 0.01163257622566232,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_1546",
      "improvement_over_parent": null
    },
    "node_1548": {
      "node_id": "node_1548",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n\nPerformance:\n  Mass: 164.74 kg\n  Factor of Safety: 1.19\n  Max Deflection: 9.64e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.73521444506642,
      "fos_buckling": 1.1895684304407241,
      "fos_yielding": 3.4189942055297453,
      "deflection": 0.009635411145384716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_1547",
      "improvement_over_parent": null
    },
    "node_1549": {
      "node_id": "node_1549",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n\nPerformance:\n  Mass: 191.44 kg\n  Factor of Safety: 1.35\n  Max Deflection: 8.32e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.4395555182936,
      "fos_buckling": 1.3495120565078225,
      "fos_yielding": 3.9686303875015945,
      "deflection": 0.008315352320916855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_1548",
      "improvement_over_parent": null
    },
    "node_1550": {
      "node_id": "node_1550",
      "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n\nPerformance:\n  Mass: 195.92 kg\n  Factor of Safety: 1.35\n  Max Deflection: 8.07e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.92412378428193,
      "fos_buckling": 1.3510252201762996,
      "fos_yielding": 3.9670599077344377,
      "deflection": 0.008067981952469995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.248)"
      },
      "parent_node_id": "node_1549",
      "improvement_over_parent": null
    },
    "node_1551": {
      "node_id": "node_1551",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.32 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.3190720048878,
      "fos_buckling": 1.5241441436816685,
      "fos_yielding": 4.5978551308728095,
      "deflection": 0.006978294429885174,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_1550",
      "improvement_over_parent": null
    },
    "node_1552": {
      "node_id": "node_1552",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1551",
      "improvement_over_parent": null
    },
    "node_1553": {
      "node_id": "node_1553",
      "content": "INITIAL DESIGN (Trace 224)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0019)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n  Mass: 116.95 kg\n  Factor of Safety: 0.59\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": 116.94965601459418,
      "fos_buckling": 0.592519237846471,
      "fos_yielding": 2.4402995223444806,
      "deflection": 0.02088078809519846,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1554": {
      "node_id": "node_1554",
      "content": "MODIFICATION: Increase 0 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0019)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n  Mass: 122.10 kg\n  Factor of Safety: 0.60\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": 122.09671126804716,
      "fos_buckling": 0.6034888674120844,
      "fos_yielding": 2.4906479321555,
      "deflection": 0.01877857684763762,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.513)"
      },
      "parent_node_id": "node_1553",
      "improvement_over_parent": null
    },
    "node_1555": {
      "node_id": "node_1555",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 152.81 kg\n  Factor of Safety: 0.74\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": 152.81029959654,
      "fos_buckling": 0.7359040279880507,
      "fos_yielding": 3.1225809162493614,
      "deflection": 0.015040168116713914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_1554",
      "improvement_over_parent": null
    },
    "node_1556": {
      "node_id": "node_1556",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 185.42 kg\n  Factor of Safety: 0.87\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": 185.42449317448973,
      "fos_buckling": 0.8680966326295745,
      "fos_yielding": 3.796745789011214,
      "deflection": 0.012426456870960275,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_1555",
      "improvement_over_parent": null
    },
    "node_1557": {
      "node_id": "node_1557",
      "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 186.48 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": 186.47941704742718,
      "fos_buckling": 0.8757791199599041,
      "fos_yielding": 4.369700895382789,
      "deflection": 0.012425817853982373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.427)"
      },
      "parent_node_id": "node_1556",
      "improvement_over_parent": null
    },
    "node_1558": {
      "node_id": "node_1558",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 218.82 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.81655742092633,
      "fos_buckling": 0.9986798545407601,
      "fos_yielding": 5.119475652522058,
      "deflection": 0.010615680570472491,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_1557",
      "improvement_over_parent": null
    },
    "node_1559": {
      "node_id": "node_1559",
      "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 224.89 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.8942632814505,
      "fos_buckling": 0.9984403662083431,
      "fos_yielding": 5.1150112399566146,
      "deflection": 0.010615695366720778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.351)"
      },
      "parent_node_id": "node_1558",
      "improvement_over_parent": null
    },
    "node_1560": {
      "node_id": "node_1560",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.28 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.27894559303664,
      "fos_buckling": 1.5241564902633369,
      "fos_yielding": 4.596998334538565,
      "deflection": 0.006979216249335827,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_1559",
      "improvement_over_parent": null
    },
    "node_1561": {
      "node_id": "node_1561",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 225)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0017)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n  Mass: 95.61 kg\n  Factor of Safety: 0.53\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": 95.6112513439286,
      "fos_buckling": 0.5313497147560162,
      "fos_yielding": 2.2986079233864443,
      "deflection": 0.018488924179219993,
      "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 2 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0023)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n  Mass: 97.82 kg\n  Factor of Safety: 0.53\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": 97.8213248198777,
      "fos_buckling": 0.531193961062308,
      "fos_yielding": 2.2734411882165815,
      "deflection": 0.018106289485401304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.404)"
      },
      "parent_node_id": "node_1562",
      "improvement_over_parent": null
    },
    "node_1564": {
      "node_id": "node_1564",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0023)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n\nPerformance:\n  Mass: 108.63 kg\n  Factor of Safety: 0.77\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": 108.62888758803359,
      "fos_buckling": 0.7684955174554639,
      "fos_yielding": 2.281523541804846,
      "deflection": 0.014343919712298304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003213)"
      },
      "parent_node_id": "node_1563",
      "improvement_over_parent": null
    },
    "node_1565": {
      "node_id": "node_1565",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0029)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n\nPerformance:\n  Mass: 132.60 kg\n  Factor of Safety: 0.92\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": 132.59943160446215,
      "fos_buckling": 0.9237528796809297,
      "fos_yielding": 2.7821320358585395,
      "deflection": 0.01178312127638363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_1564",
      "improvement_over_parent": null
    },
    "node_1566": {
      "node_id": "node_1566",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n  Mass: 173.73 kg\n  Factor of Safety: 1.18\n  Max Deflection: 9.04e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.73076887192286,
      "fos_buckling": 1.178276320237714,
      "fos_yielding": 3.6386528655265282,
      "deflection": 0.009035622147579863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_1565",
      "improvement_over_parent": null
    },
    "node_1567": {
      "node_id": "node_1567",
      "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n  Mass: 174.86 kg\n  Factor of Safety: 1.18\n  Max Deflection: 8.95e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.85981177692287,
      "fos_buckling": 1.1799386805159466,
      "fos_yielding": 3.6391405308973708,
      "deflection": 0.008950187891630736,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.364)"
      },
      "parent_node_id": "node_1566",
      "improvement_over_parent": null
    },
    "node_1568": {
      "node_id": "node_1568",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0070)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 223.81 kg\n  Factor of Safety: 1.46\n  Max Deflection: 7.03e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.80617458415765,
      "fos_buckling": 1.4622654397282016,
      "fos_yielding": 4.648818213027171,
      "deflection": 0.007031818736512171,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_1567",
      "improvement_over_parent": null
    },
    "node_1569": {
      "node_id": "node_1569",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1568",
      "improvement_over_parent": null
    },
    "node_1570": {
      "node_id": "node_1570",
      "content": "INITIAL DESIGN (Trace 226)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 168.26 kg\n  Factor of Safety: 0.59\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": 168.25964959066852,
      "fos_buckling": 0.5943869407816074,
      "fos_yielding": 3.8546728545455107,
      "deflection": 0.013693879850653361,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1571": {
      "node_id": "node_1571",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 189.77 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.30e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.77232487282404,
      "fos_buckling": 0.9823882554167607,
      "fos_yielding": 4.501776913747432,
      "deflection": 0.009301659377174466,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005171)"
      },
      "parent_node_id": "node_1570",
      "improvement_over_parent": null
    },
    "node_1572": {
      "node_id": "node_1572",
      "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 190.75 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.30e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.74941307110046,
      "fos_buckling": 0.9823882554167607,
      "fos_yielding": 4.501776913747432,
      "deflection": 0.009301659377174466,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.316)"
      },
      "parent_node_id": "node_1571",
      "improvement_over_parent": null
    },
    "node_1573": {
      "node_id": "node_1573",
      "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 202.03 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.03016403151628,
      "fos_buckling": 0.9809377664481066,
      "fos_yielding": 4.5878983736648795,
      "deflection": 0.008816794327985506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.575)"
      },
      "parent_node_id": "node_1572",
      "improvement_over_parent": null
    },
    "node_1574": {
      "node_id": "node_1574",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.64669294081088,
      "fos_buckling": 1.5264273252051352,
      "fos_yielding": 4.604293514625936,
      "deflection": 0.0069685316362213924,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1573",
      "improvement_over_parent": null
    },
    "node_1575": {
      "node_id": "node_1575",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1574",
      "improvement_over_parent": null
    },
    "node_1576": {
      "node_id": "node_1576",
      "content": "INITIAL DESIGN (Trace 227)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 117.38 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.38395447628261,
      "fos_buckling": 0.42604537586914765,
      "fos_yielding": 2.186318814716065,
      "deflection": 0.020348861352028853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1577": {
      "node_id": "node_1577",
      "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 120.00 kg\n  Factor of Safety: 0.43\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": 120.0040757354065,
      "fos_buckling": 0.4258977385585028,
      "fos_yielding": 2.186213705549977,
      "deflection": 0.019316570882272004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.200)"
      },
      "parent_node_id": "node_1576",
      "improvement_over_parent": null
    },
    "node_1578": {
      "node_id": "node_1578",
      "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 124.10 kg\n  Factor of Safety: 0.43\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": 124.0974674190033,
      "fos_buckling": 0.42566729081454663,
      "fos_yielding": 2.1860495146796586,
      "deflection": 0.019324524439268118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.312)"
      },
      "parent_node_id": "node_1577",
      "improvement_over_parent": null
    },
    "node_1579": {
      "node_id": "node_1579",
      "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 125.00 kg\n  Factor of Safety: 0.43\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": 125.004490378145,
      "fos_buckling": 0.42566729081454663,
      "fos_yielding": 2.3054812677793297,
      "deflection": 0.01916837521231203,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.412)"
      },
      "parent_node_id": "node_1578",
      "improvement_over_parent": null
    },
    "node_1580": {
      "node_id": "node_1580",
      "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 125.59 kg\n  Factor of Safety: 0.43\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": 125.59270704231687,
      "fos_buckling": 0.42560110668033424,
      "fos_yielding": 2.7536839329519687,
      "deflection": 0.018357091336490133,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.656)"
      },
      "parent_node_id": "node_1579",
      "improvement_over_parent": null
    },
    "node_1581": {
      "node_id": "node_1581",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 158.18 kg\n  Factor of Safety: 0.52\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": 158.18346899782895,
      "fos_buckling": 0.5187241336409798,
      "fos_yielding": 3.4611763639433972,
      "deflection": 0.014628339378826712,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_1580",
      "improvement_over_parent": null
    },
    "node_1582": {
      "node_id": "node_1582",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 195.35 kg\n  Factor of Safety: 0.62\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": 195.35009844728626,
      "fos_buckling": 0.6164273513277768,
      "fos_yielding": 4.264486973098725,
      "deflection": 0.011894500369526785,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_1581",
      "improvement_over_parent": null
    },
    "node_1583": {
      "node_id": "node_1583",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.74371808740455,
      "fos_buckling": 1.526819200566923,
      "fos_yielding": 4.604559434994226,
      "deflection": 0.006965560302811391,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1582",
      "improvement_over_parent": null
    },
    "node_1584": {
      "node_id": "node_1584",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1583",
      "improvement_over_parent": null
    },
    "node_1585": {
      "node_id": "node_1585",
      "content": "INITIAL DESIGN (Trace 228)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 171.97 kg\n  Factor of Safety: 1.05\n  Max Deflection: 9.23e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.96626939691512,
      "fos_buckling": 1.0534791296636556,
      "fos_yielding": 3.6475316964862903,
      "deflection": 0.00922911659544904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1586": {
      "node_id": "node_1586",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 214.63 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.43e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.62845144160386,
      "fos_buckling": 1.2793573940046215,
      "fos_yielding": 4.542146618636142,
      "deflection": 0.00742815406254404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_1585",
      "improvement_over_parent": null
    },
    "node_1587": {
      "node_id": "node_1587",
      "content": "MODIFICATION: Increase 10 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 223.01 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.08e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.0103007353028,
      "fos_buckling": 1.477056591920399,
      "fos_yielding": 4.60271492815975,
      "deflection": 0.007081820526142037,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.377)"
      },
      "parent_node_id": "node_1586",
      "improvement_over_parent": null
    },
    "node_1588": {
      "node_id": "node_1588",
      "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6152814808542,
      "fos_buckling": 1.5259827618747346,
      "fos_yielding": 4.603544420915928,
      "deflection": 0.0069695671905471565,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.289)"
      },
      "parent_node_id": "node_1587",
      "improvement_over_parent": null
    },
    "node_1589": {
      "node_id": "node_1589",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1588",
      "improvement_over_parent": null
    },
    "node_1590": {
      "node_id": "node_1590",
      "content": "INITIAL DESIGN (Trace 229)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0022)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n  Mass: 117.73 kg\n  Factor of Safety: 0.77\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": 117.73210495774347,
      "fos_buckling": 0.7702340135870586,
      "fos_yielding": 2.504457247804581,
      "deflection": 0.01325779823656517,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1591": {
      "node_id": "node_1591",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0027)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 139.27 kg\n  Factor of Safety: 0.90\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": 139.27402765148986,
      "fos_buckling": 0.9002883904941036,
      "fos_yielding": 2.959857031910208,
      "deflection": 0.011234440154617116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_1590",
      "improvement_over_parent": null
    },
    "node_1592": {
      "node_id": "node_1592",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 180.63 kg\n  Factor of Safety: 1.14\n  Max Deflection: 8.70e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.63244450954926,
      "fos_buckling": 1.1406712646239976,
      "fos_yielding": 3.8315938409722494,
      "deflection": 0.008702493134618556,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_1591",
      "improvement_over_parent": null
    },
    "node_1593": {
      "node_id": "node_1593",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 220.04 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.04469325134482,
      "fos_buckling": 1.3584183806875672,
      "fos_yielding": 4.65904418087653,
      "deflection": 0.00717532580357029,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_1592",
      "improvement_over_parent": null
    },
    "node_1594": {
      "node_id": "node_1594",
      "content": "MODIFICATION: Increase 3 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.42 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.4237522624088,
      "fos_buckling": 1.524908164129616,
      "fos_yielding": 4.599823529842805,
      "deflection": 0.006975277198147203,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.567)"
      },
      "parent_node_id": "node_1593",
      "improvement_over_parent": null
    },
    "node_1595": {
      "node_id": "node_1595",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1594",
      "improvement_over_parent": null
    },
    "node_1596": {
      "node_id": "node_1596",
      "content": "INITIAL DESIGN (Trace 230)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n\nPerformance:\n  Mass: 103.56 kg\n  Factor of Safety: 0.54\n  Max Deflection: 7.04e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 103.56172368871495,
      "fos_buckling": 0.5447284607903419,
      "fos_yielding": 3.142197476204035,
      "deflection": 70353391384153.69,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1597": {
      "node_id": "node_1597",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n\nPerformance:\n  Mass: 118.89 kg\n  Factor of Safety: 0.39\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": 118.88826979235404,
      "fos_buckling": 0.39059637587121965,
      "fos_yielding": 2.358666356945089,
      "deflection": 0.019652429586429005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004191)"
      },
      "parent_node_id": "node_1596",
      "improvement_over_parent": null
    },
    "node_1598": {
      "node_id": "node_1598",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n  Mass: 135.00 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.73e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.99884704880577,
      "fos_buckling": 0.4364512452091115,
      "fos_yielding": 2.676171418873624,
      "deflection": 0.017338269141590562,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_1597",
      "improvement_over_parent": null
    },
    "node_1599": {
      "node_id": "node_1599",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 153.74 kg\n  Factor of Safety: 0.49\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": 153.74088383458124,
      "fos_buckling": 0.4877125239714308,
      "fos_yielding": 3.044905507015855,
      "deflection": 0.015256422332447818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_1598",
      "improvement_over_parent": null
    },
    "node_1600": {
      "node_id": "node_1600",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 194.91 kg\n  Factor of Safety: 0.59\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": 194.91334857559335,
      "fos_buckling": 0.5925307984207836,
      "fos_yielding": 3.8525640880223286,
      "deflection": 0.01208884449523689,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_1599",
      "improvement_over_parent": null
    },
    "node_1601": {
      "node_id": "node_1601",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.69094331847884,
      "fos_buckling": 1.5260882721692566,
      "fos_yielding": 4.605478894984654,
      "deflection": 0.006967271354690516,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_1600",
      "improvement_over_parent": null
    },
    "node_1602": {
      "node_id": "node_1602",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1601",
      "improvement_over_parent": null
    },
    "node_1603": {
      "node_id": "node_1603",
      "content": "INITIAL DESIGN (Trace 231)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n  Mass: 116.53 kg\n  Factor of Safety: 0.58\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": 116.52848269347042,
      "fos_buckling": 0.5757928291991116,
      "fos_yielding": 3.551869684559999,
      "deflection": 0.016670388508260178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1604": {
      "node_id": "node_1604",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n  Mass: 133.86 kg\n  Factor of Safety: 0.72\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": 133.85506679581985,
      "fos_buckling": 0.7207364500472044,
      "fos_yielding": 3.1337683905254416,
      "deflection": 0.013133702739042331,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004772)"
      },
      "parent_node_id": "node_1603",
      "improvement_over_parent": null
    },
    "node_1605": {
      "node_id": "node_1605",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 167.62 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.61917203260458,
      "fos_buckling": 0.8715622323503026,
      "fos_yielding": 3.9178269554002347,
      "deflection": 0.010530734656567968,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_1604",
      "improvement_over_parent": null
    },
    "node_1606": {
      "node_id": "node_1606",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 194.26 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.12e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.25866755268802,
      "fos_buckling": 0.9819975737380128,
      "fos_yielding": 4.534554698824104,
      "deflection": 0.00911562542979342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_1605",
      "improvement_over_parent": null
    },
    "node_1607": {
      "node_id": "node_1607",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 219.88 kg\n  Factor of Safety: 1.30\n  Max Deflection: 7.28e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.87519646198263,
      "fos_buckling": 1.2962090941873343,
      "fos_yielding": 4.54918995688935,
      "deflection": 0.007284952063177522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1606",
      "improvement_over_parent": null
    },
    "node_1608": {
      "node_id": "node_1608",
      "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0096)]\n\nPerformance:\n  Mass: 227.52 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.17e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.5238262392269,
      "fos_buckling": 1.2933649713882496,
      "fos_yielding": 4.549666095284054,
      "deflection": 0.007165322993147506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.340)"
      },
      "parent_node_id": "node_1607",
      "improvement_over_parent": null
    },
    "node_1609": {
      "node_id": "node_1609",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1608",
      "improvement_over_parent": null
    },
    "node_1610": {
      "node_id": "node_1610",
      "content": "INITIAL DESIGN (Trace 232)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n\nPerformance:\n  Mass: 93.86 kg\n  Factor of Safety: 0.55\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": 93.85825907021092,
      "fos_buckling": 0.5524775255838078,
      "fos_yielding": 2.628929016739617,
      "deflection": 0.020743424626573057,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1611": {
      "node_id": "node_1611",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 111.32 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.75e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 111.32237038314386,
      "fos_buckling": 0.643529629749626,
      "fos_yielding": 3.117309871071584,
      "deflection": 0.017532543649238713,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_1610",
      "improvement_over_parent": null
    },
    "node_1612": {
      "node_id": "node_1612",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 129.95 kg\n  Factor of Safety: 0.74\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": 129.94512050573394,
      "fos_buckling": 0.7366289863371198,
      "fos_yielding": 3.637822286607388,
      "deflection": 0.015059487079977273,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_1611",
      "improvement_over_parent": null
    },
    "node_1613": {
      "node_id": "node_1613",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 149.15 kg\n  Factor of Safety: 0.83\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": 149.1518996564574,
      "fos_buckling": 0.8283606498461809,
      "fos_yielding": 4.1743672968678895,
      "deflection": 0.01315578741537439,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_1612",
      "improvement_over_parent": null
    },
    "node_1614": {
      "node_id": "node_1614",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n\nPerformance:\n  Mass: 162.51 kg\n  Factor of Safety: 0.85\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": 162.51128165059623,
      "fos_buckling": 0.8465688214853928,
      "fos_yielding": 4.1743672968678895,
      "deflection": 0.010881162266077635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004012)"
      },
      "parent_node_id": "node_1613",
      "improvement_over_parent": null
    },
    "node_1615": {
      "node_id": "node_1615",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n\nPerformance:\n  Mass: 200.49 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.86e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.48594789835266,
      "fos_buckling": 1.0046700588866273,
      "fos_yielding": 5.14503055475393,
      "deflection": 0.008861659410277655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_1614",
      "improvement_over_parent": null
    },
    "node_1616": {
      "node_id": "node_1616",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 222.15 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.11e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.1452441752001,
      "fos_buckling": 1.4480825592529731,
      "fos_yielding": 4.604308654351939,
      "deflection": 0.0071078072795426155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1615",
      "improvement_over_parent": null
    },
    "node_1617": {
      "node_id": "node_1617",
      "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0070)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 223.55 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.54703303223408,
      "fos_buckling": 1.3999265501536398,
      "fos_yielding": 4.604901235208088,
      "deflection": 0.007048344564051606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.366)"
      },
      "parent_node_id": "node_1616",
      "improvement_over_parent": null
    },
    "node_1618": {
      "node_id": "node_1618",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1617",
      "improvement_over_parent": null
    },
    "node_1619": {
      "node_id": "node_1619",
      "content": "INITIAL DESIGN (Trace 233)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 154.60 kg\n  Factor of Safety: 0.75\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": 154.5961755967265,
      "fos_buckling": 0.7520023316174008,
      "fos_yielding": 3.658337815210472,
      "deflection": 0.014802791945987784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1620": {
      "node_id": "node_1620",
      "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 160.49 kg\n  Factor of Safety: 0.75\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": 160.4903111241801,
      "fos_buckling": 0.7523700321944692,
      "fos_yielding": 3.659861923625534,
      "deflection": 0.014814289065736676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.637)"
      },
      "parent_node_id": "node_1619",
      "improvement_over_parent": null
    },
    "node_1621": {
      "node_id": "node_1621",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 200.74 kg\n  Factor of Safety: 0.91\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": 200.7395353636266,
      "fos_buckling": 0.9098664198060746,
      "fos_yielding": 4.570228308949317,
      "deflection": 0.011874601546873979,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_1620",
      "improvement_over_parent": null
    },
    "node_1622": {
      "node_id": "node_1622",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 225.22 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.21959047027337,
      "fos_buckling": 0.9996290528337421,
      "fos_yielding": 5.122468902452563,
      "deflection": 0.010600515844520902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_1621",
      "improvement_over_parent": null
    },
    "node_1623": {
      "node_id": "node_1623",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.60427278185952,
      "fos_buckling": 1.5258656327816331,
      "fos_yielding": 4.603743894716317,
      "deflection": 0.006969752666628683,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_1622",
      "improvement_over_parent": null
    },
    "node_1624": {
      "node_id": "node_1624",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1623",
      "improvement_over_parent": null
    },
    "node_1625": {
      "node_id": "node_1625",
      "content": "INITIAL DESIGN (Trace 234)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 129.98 kg\n  Factor of Safety: 0.72\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": 129.98066119097265,
      "fos_buckling": 0.7177768867350713,
      "fos_yielding": 3.5083961483218684,
      "deflection": 0.01723045698905812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1626": {
      "node_id": "node_1626",
      "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 132.74 kg\n  Factor of Safety: 0.72\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": 132.73507829380793,
      "fos_buckling": 0.7175157686830885,
      "fos_yielding": 3.506717101263487,
      "deflection": 0.017229794274236758,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.202)"
      },
      "parent_node_id": "node_1625",
      "improvement_over_parent": null
    },
    "node_1627": {
      "node_id": "node_1627",
      "content": "MODIFICATION: Increase 1 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 139.38 kg\n  Factor of Safety: 0.72\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": 139.37922247468006,
      "fos_buckling": 0.7168866866455411,
      "fos_yielding": 3.504694157948465,
      "deflection": 0.015349881652235078,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.553)"
      },
      "parent_node_id": "node_1626",
      "improvement_over_parent": null
    },
    "node_1628": {
      "node_id": "node_1628",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 157.59 kg\n  Factor of Safety: 0.80\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": 157.58550375706687,
      "fos_buckling": 0.7963089233776979,
      "fos_yielding": 3.9576051512217743,
      "deflection": 0.013590649978342844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_1627",
      "improvement_over_parent": null
    },
    "node_1629": {
      "node_id": "node_1629",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n  Mass: 159.44 kg\n  Factor of Safety: 0.80\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": 159.435530836824,
      "fos_buckling": 0.7959212008971052,
      "fos_yielding": 3.5640678471179137,
      "deflection": 0.01130770244101994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002875)"
      },
      "parent_node_id": "node_1628",
      "improvement_over_parent": null
    },
    "node_1630": {
      "node_id": "node_1630",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n\nPerformance:\n  Mass: 180.62 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.62068200585256,
      "fos_buckling": 0.8831956182990599,
      "fos_yielding": 4.0345415568937515,
      "deflection": 0.01000690818632085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_1629",
      "improvement_over_parent": null
    },
    "node_1631": {
      "node_id": "node_1631",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n  Mass: 200.04 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.91e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.04073471176622,
      "fos_buckling": 1.3743866026514806,
      "fos_yielding": 4.0496096313749845,
      "deflection": 0.007905695426906391,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005982)"
      },
      "parent_node_id": "node_1630",
      "improvement_over_parent": null
    },
    "node_1632": {
      "node_id": "node_1632",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.53460459055879,
      "fos_buckling": 1.5252878871335072,
      "fos_yielding": 4.601913441258716,
      "deflection": 0.006971923468665019,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_1631",
      "improvement_over_parent": null
    },
    "node_1633": {
      "node_id": "node_1633",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1632",
      "improvement_over_parent": null
    },
    "node_1634": {
      "node_id": "node_1634",
      "content": "INITIAL DESIGN (Trace 235)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n  Mass: 141.38 kg\n  Factor of Safety: 0.48\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": 141.3831020132722,
      "fos_buckling": 0.47664788999035923,
      "fos_yielding": 2.826918922555952,
      "deflection": 0.01673548915420293,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1635": {
      "node_id": "node_1635",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 166.52 kg\n  Factor of Safety: 0.94\n  Max Deflection: 9.79e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.5211758123812,
      "fos_buckling": 0.9430335771245298,
      "fos_yielding": 2.7914763053367393,
      "deflection": 0.009790804569326888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006104)"
      },
      "parent_node_id": "node_1634",
      "improvement_over_parent": null
    },
    "node_1636": {
      "node_id": "node_1636",
      "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 173.07 kg\n  Factor of Safety: 0.96\n  Max Deflection: 9.30e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.06909983783524,
      "fos_buckling": 0.9610449092601175,
      "fos_yielding": 2.8447916995110916,
      "deflection": 0.009297810846992667,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.383)"
      },
      "parent_node_id": "node_1635",
      "improvement_over_parent": null
    },
    "node_1637": {
      "node_id": "node_1637",
      "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 173.52 kg\n  Factor of Safety: 0.96\n  Max Deflection: 9.19e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.52051962135403,
      "fos_buckling": 0.9580842451809216,
      "fos_yielding": 2.836027829564554,
      "deflection": 0.009192549669990611,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.351)"
      },
      "parent_node_id": "node_1636",
      "improvement_over_parent": null
    },
    "node_1638": {
      "node_id": "node_1638",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 200.41 kg\n  Factor of Safety: 1.09\n  Max Deflection: 7.98e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.41271656461453,
      "fos_buckling": 1.0939677788296713,
      "fos_yielding": 3.283827831597838,
      "deflection": 0.007981808456693931,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1637",
      "improvement_over_parent": null
    },
    "node_1639": {
      "node_id": "node_1639",
      "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 201.63 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.85e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.6269211803608,
      "fos_buckling": 1.3834613431050646,
      "fos_yielding": 4.0820452739552735,
      "deflection": 0.007845135422546582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.495)"
      },
      "parent_node_id": "node_1638",
      "improvement_over_parent": null
    },
    "node_1640": {
      "node_id": "node_1640",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6835106336299,
      "fos_buckling": 1.5262138828536467,
      "fos_yielding": 4.6055072713201834,
      "deflection": 0.006967683866607412,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_1639",
      "improvement_over_parent": null
    },
    "node_1641": {
      "node_id": "node_1641",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1640",
      "improvement_over_parent": null
    },
    "node_1642": {
      "node_id": "node_1642",
      "content": "INITIAL DESIGN (Trace 236)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 163.55 kg\n  Factor of Safety: 0.62\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": 163.5543700726825,
      "fos_buckling": 0.6187021034602598,
      "fos_yielding": 4.267184096170553,
      "deflection": 0.014231946444401147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1643": {
      "node_id": "node_1643",
      "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 169.29 kg\n  Factor of Safety: 0.62\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": 169.2886993749313,
      "fos_buckling": 0.618235692197185,
      "fos_yielding": 4.266163649005661,
      "deflection": 0.013653330675335352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.233)"
      },
      "parent_node_id": "node_1642",
      "improvement_over_parent": null
    },
    "node_1644": {
      "node_id": "node_1644",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 194.41 kg\n  Factor of Safety: 0.62\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": 194.40799435243224,
      "fos_buckling": 0.6162008322011022,
      "fos_yielding": 3.8061327242004475,
      "deflection": 0.012337961260684443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_1643",
      "improvement_over_parent": null
    },
    "node_1645": {
      "node_id": "node_1645",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 226.80 kg\n  Factor of Safety: 1.33\n  Max Deflection: 7.10e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.80161399255053,
      "fos_buckling": 1.3274869714529354,
      "fos_yielding": 4.621090086911843,
      "deflection": 0.007099542263033906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1644",
      "improvement_over_parent": null
    },
    "node_1646": {
      "node_id": "node_1646",
      "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.61207891433622,
      "fos_buckling": 1.5254453676778073,
      "fos_yielding": 4.604105450092035,
      "deflection": 0.006969768741249446,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.565)"
      },
      "parent_node_id": "node_1645",
      "improvement_over_parent": null
    },
    "node_1647": {
      "node_id": "node_1647",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1646",
      "improvement_over_parent": null
    },
    "node_1648": {
      "node_id": "node_1648",
      "content": "INITIAL DESIGN (Trace 237)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 214.48 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.61e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.47918390668647,
      "fos_buckling": 1.2799604147043917,
      "fos_yielding": 4.624002142578008,
      "deflection": 0.007612394017033751,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1649": {
      "node_id": "node_1649",
      "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 215.25 kg\n  Factor of Safety: 1.52\n  Max Deflection: 7.48e-03 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 215.25371222481445,
      "fos_buckling": 1.5247829695867938,
      "fos_yielding": 4.607141169157672,
      "deflection": 0.0074793230317823905,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.527)"
      },
      "parent_node_id": "node_1648",
      "improvement_over_parent": null
    },
    "node_1650": {
      "node_id": "node_1650",
      "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 218.84 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.38e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.84179137931991,
      "fos_buckling": 1.485736201766504,
      "fos_yielding": 4.607685884656714,
      "deflection": 0.007378022680833359,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.179)"
      },
      "parent_node_id": "node_1649",
      "improvement_over_parent": null
    },
    "node_1651": {
      "node_id": "node_1651",
      "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.64032655452374,
      "fos_buckling": 1.5260268994968669,
      "fos_yielding": 4.604168987697194,
      "deflection": 0.006968423718106645,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.504)"
      },
      "parent_node_id": "node_1650",
      "improvement_over_parent": null
    },
    "node_1652": {
      "node_id": "node_1652",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1651",
      "improvement_over_parent": null
    },
    "node_1653": {
      "node_id": "node_1653",
      "content": "INITIAL DESIGN (Trace 238)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0025)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n\nPerformance:\n  Mass: 114.25 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.04e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 114.25461125213249,
      "fos_buckling": 0.3937768445419282,
      "fos_yielding": 2.378660814659376,
      "deflection": 0.020376328920760158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1654": {
      "node_id": "node_1654",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0025)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 134.42 kg\n  Factor of Safety: 0.87\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": 134.41875213916452,
      "fos_buckling": 0.8664348983098854,
      "fos_yielding": 2.8476732310695065,
      "deflection": 0.011763443420707384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004829)"
      },
      "parent_node_id": "node_1653",
      "improvement_over_parent": null
    },
    "node_1655": {
      "node_id": "node_1655",
      "content": "MODIFICATION: Increase 2 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 139.60 kg\n  Factor of Safety: 0.90\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": 139.59995006402946,
      "fos_buckling": 0.8997393692461977,
      "fos_yielding": 2.8495097773477576,
      "deflection": 0.011389379757786242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.650)"
      },
      "parent_node_id": "node_1654",
      "improvement_over_parent": null
    },
    "node_1656": {
      "node_id": "node_1656",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 168.37 kg\n  Factor of Safety: 1.07\n  Max Deflection: 9.47e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.36788145262238,
      "fos_buckling": 1.0732099293079504,
      "fos_yielding": 3.433130352861338,
      "deflection": 0.00947199414241205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_1655",
      "improvement_over_parent": null
    },
    "node_1657": {
      "node_id": "node_1657",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 192.53 kg\n  Factor of Safety: 1.22\n  Max Deflection: 8.30e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.53489126862945,
      "fos_buckling": 1.215703681649457,
      "fos_yielding": 3.922460894657026,
      "deflection": 0.008304073841761229,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_1656",
      "improvement_over_parent": null
    },
    "node_1658": {
      "node_id": "node_1658",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n\nPerformance:\n  Mass: 227.25 kg\n  Factor of Safety: 1.42\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.24540275943122,
      "fos_buckling": 1.4151348706390694,
      "fos_yielding": 4.623753750534889,
      "deflection": 0.0070611789544111955,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_1657",
      "improvement_over_parent": null
    },
    "node_1659": {
      "node_id": "node_1659",
      "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n\nPerformance:\n  Mass: 227.93 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.92806673747305,
      "fos_buckling": 1.527630662891652,
      "fos_yielding": 4.610456917962659,
      "deflection": 0.006959945202865685,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.439)"
      },
      "parent_node_id": "node_1658",
      "improvement_over_parent": null
    },
    "node_1660": {
      "node_id": "node_1660",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1659",
      "improvement_over_parent": null
    },
    "node_1661": {
      "node_id": "node_1661",
      "content": "INITIAL DESIGN (Trace 239)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 145.90 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.90273730683532,
      "fos_buckling": 1.065402885739194,
      "fos_yielding": 3.075975282400671,
      "deflection": 0.010964911868566372,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1662": {
      "node_id": "node_1662",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 169.38 kg\n  Factor of Safety: 1.21\n  Max Deflection: 9.47e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.37586196167044,
      "fos_buckling": 1.2112873069744265,
      "fos_yielding": 3.566910845924499,
      "deflection": 0.009468188137840968,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_1661",
      "improvement_over_parent": null
    },
    "node_1663": {
      "node_id": "node_1663",
      "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 175.92 kg\n  Factor of Safety: 1.23\n  Max Deflection: 8.96e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.92421316401942,
      "fos_buckling": 1.2347259364240395,
      "fos_yielding": 3.5644445770636928,
      "deflection": 0.008964944534587491,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.466)"
      },
      "parent_node_id": "node_1662",
      "improvement_over_parent": null
    },
    "node_1664": {
      "node_id": "node_1664",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 205.40 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.70e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.39754751601487,
      "fos_buckling": 1.4046185784947975,
      "fos_yielding": 4.15746016836706,
      "deflection": 0.0077040646497576306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_1663",
      "improvement_over_parent": null
    },
    "node_1665": {
      "node_id": "node_1665",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63901219940615,
      "fos_buckling": 1.5259789862535011,
      "fos_yielding": 4.604185040204009,
      "deflection": 0.00696872710702257,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_1664",
      "improvement_over_parent": null
    },
    "node_1666": {
      "node_id": "node_1666",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 240)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 119.00 kg\n  Factor of Safety: 1.26\n  Max Deflection: 2.06e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.99639285853338,
      "fos_buckling": 1.2623223458544905,
      "fos_yielding": 3.8452835031383428,
      "deflection": 20648684333967.207,
      "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 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n\nPerformance:\n  Mass: 148.23 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.22699593993212,
      "fos_buckling": 0.7474185225468606,
      "fos_yielding": 4.645616232778653,
      "deflection": 0.01269694338723132,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007232)"
      },
      "parent_node_id": "node_1667",
      "improvement_over_parent": null
    },
    "node_1669": {
      "node_id": "node_1669",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 164.40 kg\n  Factor of Safety: 0.82\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": 164.40079903784647,
      "fos_buckling": 0.8176403806165351,
      "fos_yielding": 5.147700542180354,
      "deflection": 0.011472969652351853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_1668",
      "improvement_over_parent": null
    },
    "node_1670": {
      "node_id": "node_1670",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 190.02 kg\n  Factor of Safety: 0.81\n  Max Deflection: 9.49e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.01732794714107,
      "fos_buckling": 0.8148946411689457,
      "fos_yielding": 5.147700542180354,
      "deflection": 0.009485854710148687,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1669",
      "improvement_over_parent": null
    },
    "node_1671": {
      "node_id": "node_1671",
      "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0128)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 206.16 kg\n  Factor of Safety: 0.81\n  Max Deflection: 9.14e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.1599391629266,
      "fos_buckling": 0.8131738273336464,
      "fos_yielding": 5.1477005421803534,
      "deflection": 0.009135002031643023,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.582)"
      },
      "parent_node_id": "node_1670",
      "improvement_over_parent": null
    },
    "node_1672": {
      "node_id": "node_1672",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0128)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.82 kg\n  Factor of Safety: 1.22\n  Max Deflection: 7.16e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.81923543977405,
      "fos_buckling": 1.2216779213957618,
      "fos_yielding": 4.618184458009334,
      "deflection": 0.0071569264543415185,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1671",
      "improvement_over_parent": null
    },
    "node_1673": {
      "node_id": "node_1673",
      "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0128)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0089)]\n\nPerformance:\n  Mass: 233.75 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.75250576679585,
      "fos_buckling": 1.2509084015371437,
      "fos_yielding": 4.593541353192667,
      "deflection": 0.007066840221453984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.311)"
      },
      "parent_node_id": "node_1672",
      "improvement_over_parent": null
    },
    "node_1674": {
      "node_id": "node_1674",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 241)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 206.02 kg\n  Factor of Safety: 1.34\n  Max Deflection: 8.11e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.01957169700714,
      "fos_buckling": 1.3394281638989252,
      "fos_yielding": 4.4749526525823,
      "deflection": 0.008114104387531034,
      "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 1 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 214.27 kg\n  Factor of Safety: 1.51\n  Max Deflection: 7.56e-03 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 214.2707021197261,
      "fos_buckling": 1.509155886261137,
      "fos_yielding": 4.569494807373341,
      "deflection": 0.0075553634550616445,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.600)"
      },
      "parent_node_id": "node_1675",
      "improvement_over_parent": null
    },
    "node_1677": {
      "node_id": "node_1677",
      "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 222.41 kg\n  Factor of Safety: 1.53\n  Max Deflection: 7.18e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 222.40952271182155,
      "fos_buckling": 1.5260364344751765,
      "fos_yielding": 4.566423365489408,
      "deflection": 0.007184880545115852,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.451)"
      },
      "parent_node_id": "node_1676",
      "improvement_over_parent": null
    },
    "node_1678": {
      "node_id": "node_1678",
      "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.65305280964358,
      "fos_buckling": 1.525810236107575,
      "fos_yielding": 4.604295608706505,
      "deflection": 0.006968236458877579,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.250)"
      },
      "parent_node_id": "node_1677",
      "improvement_over_parent": null
    },
    "node_1679": {
      "node_id": "node_1679",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1678",
      "improvement_over_parent": null
    },
    "node_1680": {
      "node_id": "node_1680",
      "content": "INITIAL DESIGN (Trace 242)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n\nPerformance:\n  Mass: 126.79 kg\n  Factor of Safety: 0.33\n  Max Deflection: 6.00e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.79188957064446,
      "fos_buckling": 0.32576975646075024,
      "fos_yielding": 3.0353033325305194,
      "deflection": 60049138529337.9,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1681": {
      "node_id": "node_1681",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n\nPerformance:\n  Mass: 140.55 kg\n  Factor of Safety: 1.57\n  Max Deflection: 1.25e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 140.55472904518575,
      "fos_buckling": 1.5727850447591214,
      "fos_yielding": 4.262443185308172,
      "deflection": 12541556811801.312,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_1680",
      "improvement_over_parent": null
    },
    "node_1682": {
      "node_id": "node_1682",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 167.71 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.71357955829575,
      "fos_buckling": 0.8615743947295972,
      "fos_yielding": 4.262443185308172,
      "deflection": 0.010474326589861842,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006633)"
      },
      "parent_node_id": "node_1681",
      "improvement_over_parent": null
    },
    "node_1683": {
      "node_id": "node_1683",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 202.38 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.3833810753905,
      "fos_buckling": 1.0041025371736865,
      "fos_yielding": 5.141531743778626,
      "deflection": 0.008716664008517925,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1682",
      "improvement_over_parent": null
    },
    "node_1684": {
      "node_id": "node_1684",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.50267605289145,
      "fos_buckling": 1.5258065574470667,
      "fos_yielding": 4.600823184182202,
      "deflection": 0.006972993255712923,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_1683",
      "improvement_over_parent": null
    },
    "node_1685": {
      "node_id": "node_1685",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1684",
      "improvement_over_parent": null
    },
    "node_1686": {
      "node_id": "node_1686",
      "content": "INITIAL DESIGN (Trace 243)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n\nPerformance:\n  Mass: 99.26 kg\n  Factor of Safety: 1.17\n  Max Deflection: 3.04e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 99.25777267828916,
      "fos_buckling": 1.1678958290738188,
      "fos_yielding": 1.827437670210952,
      "deflection": 30444908798635.88,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1687": {
      "node_id": "node_1687",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n\nPerformance:\n  Mass: 110.00 kg\n  Factor of Safety: 0.32\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": 110.00007406529626,
      "fos_buckling": 0.32395384600192967,
      "fos_yielding": 1.902734380665225,
      "deflection": 0.02232968623935197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003227)"
      },
      "parent_node_id": "node_1686",
      "improvement_over_parent": null
    },
    "node_1688": {
      "node_id": "node_1688",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 132.25 kg\n  Factor of Safety: 0.71\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": 132.2534786624838,
      "fos_buckling": 0.7107620726959508,
      "fos_yielding": 2.298475888892284,
      "deflection": 0.013277285378076886,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005360)"
      },
      "parent_node_id": "node_1687",
      "improvement_over_parent": null
    },
    "node_1689": {
      "node_id": "node_1689",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n\nPerformance:\n  Mass: 149.65 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.64715314560652,
      "fos_buckling": 0.9010336154227184,
      "fos_yielding": 2.306347738784294,
      "deflection": 0.010550696518694794,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004739)"
      },
      "parent_node_id": "node_1688",
      "improvement_over_parent": null
    },
    "node_1690": {
      "node_id": "node_1690",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n  Mass: 180.57 kg\n  Factor of Safety: 1.07\n  Max Deflection: 8.77e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.5728744964158,
      "fos_buckling": 1.0711650825234347,
      "fos_yielding": 2.7896602594098887,
      "deflection": 0.00877332042322948,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_1689",
      "improvement_over_parent": null
    },
    "node_1691": {
      "node_id": "node_1691",
      "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0057)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n  Mass: 181.83 kg\n  Factor of Safety: 1.07\n  Max Deflection: 8.69e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.83296827056705,
      "fos_buckling": 1.071315052672152,
      "fos_yielding": 2.790050830173257,
      "deflection": 0.008687631722959886,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.391)"
      },
      "parent_node_id": "node_1690",
      "improvement_over_parent": null
    },
    "node_1692": {
      "node_id": "node_1692",
      "content": "MODIFICATION: Increase 6 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0057)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0091)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n  Mass: 191.45 kg\n  Factor of Safety: 1.07\n  Max Deflection: 8.34e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.4465111140525,
      "fos_buckling": 1.070738630381123,
      "fos_yielding": 2.7885496401287373,
      "deflection": 0.008336503681387985,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.403)"
      },
      "parent_node_id": "node_1691",
      "improvement_over_parent": null
    },
    "node_1693": {
      "node_id": "node_1693",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0071)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0113)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 233.35 kg\n  Factor of Safety: 1.28\n  Max Deflection: 6.87e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.35064712187702,
      "fos_buckling": 1.2818886056230352,
      "fos_yielding": 3.4160775447651934,
      "deflection": 0.006867095292743084,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_1692",
      "improvement_over_parent": null
    },
    "node_1694": {
      "node_id": "node_1694",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1693",
      "improvement_over_parent": null
    },
    "node_1695": {
      "node_id": "node_1695",
      "content": "INITIAL DESIGN (Trace 244)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 134.54 kg\n  Factor of Safety: 0.38\n  Max Deflection: 2.75e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.53933929773706,
      "fos_buckling": 0.376712989624722,
      "fos_yielding": 3.089860962475446,
      "deflection": 27513121386709.594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1696": {
      "node_id": "node_1696",
      "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 138.06 kg\n  Factor of Safety: 0.30\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": 138.06328387009958,
      "fos_buckling": 0.3013703916997776,
      "fos_yielding": 3.695837045011561,
      "deflection": 17411012510534.195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.297)"
      },
      "parent_node_id": "node_1695",
      "improvement_over_parent": null
    },
    "node_1697": {
      "node_id": "node_1697",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 165.42 kg\n  Factor of Safety: 0.18\n  Max Deflection: 5.44e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.42370053041165,
      "fos_buckling": 0.1829131209656112,
      "fos_yielding": 2.560357995514863,
      "deflection": 54351833414900.58,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_1696",
      "improvement_over_parent": null
    },
    "node_1698": {
      "node_id": "node_1698",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 197.82 kg\n  Factor of Safety: 1.01\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.81732017052994,
      "fos_buckling": 1.005322830589579,
      "fos_yielding": 5.1475668167392445,
      "deflection": 0.010566999119563466,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1697",
      "improvement_over_parent": null
    },
    "node_1699": {
      "node_id": "node_1699",
      "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0108)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 207.38 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.95e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.38346025821278,
      "fos_buckling": 1.007197094381152,
      "fos_yielding": 5.1475668167392445,
      "deflection": 0.009950979089276477,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.332)"
      },
      "parent_node_id": "node_1698",
      "improvement_over_parent": null
    },
    "node_1700": {
      "node_id": "node_1700",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0108)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 229.04 kg\n  Factor of Safety: 1.02\n  Max Deflection: 9.97e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.04275653506022,
      "fos_buckling": 1.0244011840551204,
      "fos_yielding": 5.170928640097451,
      "deflection": 0.009966286106789585,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1699",
      "improvement_over_parent": null
    },
    "node_1701": {
      "node_id": "node_1701",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0108)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 231.43 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.82e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 231.42743884664637,
      "fos_buckling": 1.5322542615711405,
      "fos_yielding": 4.689749616054346,
      "deflection": 0.006821912599144992,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_1700",
      "improvement_over_parent": null
    },
    "node_1702": {
      "node_id": "node_1702",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1701",
      "improvement_over_parent": null
    },
    "node_1703": {
      "node_id": "node_1703",
      "content": "INITIAL DESIGN (Trace 245)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 166.04 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.04253837038485,
      "fos_buckling": 0.8599191494185334,
      "fos_yielding": 3.941748344949767,
      "deflection": 0.010534198383273064,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1704": {
      "node_id": "node_1704",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 195.60 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.98e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.59925930025227,
      "fos_buckling": 0.9820833627466645,
      "fos_yielding": 4.636256735643175,
      "deflection": 0.008975652759017428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_1703",
      "improvement_over_parent": null
    },
    "node_1705": {
      "node_id": "node_1705",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 221.22 kg\n  Factor of Safety: 1.46\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.21578820954687,
      "fos_buckling": 1.4595093397766872,
      "fos_yielding": 4.6515346528864,
      "deflection": 0.007118688033841629,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1704",
      "improvement_over_parent": null
    },
    "node_1706": {
      "node_id": "node_1706",
      "content": "MODIFICATION: Increase 9 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0113)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 232.19 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.80e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 232.19469696733833,
      "fos_buckling": 1.5331229173138141,
      "fos_yielding": 4.7012433449977555,
      "deflection": 0.006803994284927217,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.383)"
      },
      "parent_node_id": "node_1705",
      "improvement_over_parent": null
    },
    "node_1707": {
      "node_id": "node_1707",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1706",
      "improvement_over_parent": null
    },
    "node_1708": {
      "node_id": "node_1708",
      "content": "INITIAL DESIGN (Trace 246)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 138.51 kg\n  Factor of Safety: 0.73\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": 138.5108882263146,
      "fos_buckling": 0.7331641899561613,
      "fos_yielding": 3.239696531936476,
      "deflection": 0.013955662602541012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1709": {
      "node_id": "node_1709",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n\nPerformance:\n  Mass: 154.06 kg\n  Factor of Safety: 1.01\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.05836181491898,
      "fos_buckling": 1.0097362324342078,
      "fos_yielding": 3.2578564220491204,
      "deflection": 0.010483370077137321,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004711)"
      },
      "parent_node_id": "node_1708",
      "improvement_over_parent": null
    },
    "node_1710": {
      "node_id": "node_1710",
      "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0050)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n\nPerformance:\n  Mass: 155.16 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.16112634819842,
      "fos_buckling": 0.9910874648777945,
      "fos_yielding": 3.7155860942184766,
      "deflection": 0.010383151391407447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.339)"
      },
      "parent_node_id": "node_1709",
      "improvement_over_parent": null
    },
    "node_1711": {
      "node_id": "node_1711",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0060)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n  Mass: 181.56 kg\n  Factor of Safety: 1.15\n  Max Deflection: 8.90e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.5647083111969,
      "fos_buckling": 1.1461135390968729,
      "fos_yielding": 4.3422083023376645,
      "deflection": 0.008895814116256449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_1710",
      "improvement_over_parent": null
    },
    "node_1712": {
      "node_id": "node_1712",
      "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0060)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n  Mass: 188.23 kg\n  Factor of Safety: 1.22\n  Max Deflection: 8.44e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.23062770816844,
      "fos_buckling": 1.2249780615571224,
      "fos_yielding": 4.4251520419957195,
      "deflection": 0.008437746574098142,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.439)"
      },
      "parent_node_id": "node_1711",
      "improvement_over_parent": null
    },
    "node_1713": {
      "node_id": "node_1713",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0074)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 228.65 kg\n  Factor of Safety: 1.46\n  Max Deflection: 6.98e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.64777292974284,
      "fos_buckling": 1.4616580418108243,
      "fos_yielding": 5.365897059926094,
      "deflection": 0.006976304374706494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1712",
      "improvement_over_parent": null
    },
    "node_1714": {
      "node_id": "node_1714",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1713",
      "improvement_over_parent": null
    },
    "node_1715": {
      "node_id": "node_1715",
      "content": "INITIAL DESIGN (Trace 247)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 102.42 kg\n  Factor of Safety: 1.45\n  Max Deflection: 1.79e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 102.41930766777736,
      "fos_buckling": 1.4452767152934802,
      "fos_yielding": 3.8760619582986133,
      "deflection": 17943463090980.645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1716": {
      "node_id": "node_1716",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n\nPerformance:\n  Mass: 127.29 kg\n  Factor of Safety: 0.41\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": 127.29342021541956,
      "fos_buckling": 0.41016264366114397,
      "fos_yielding": 2.966659758530177,
      "deflection": 0.018560113768136835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006076)"
      },
      "parent_node_id": "node_1715",
      "improvement_over_parent": null
    },
    "node_1717": {
      "node_id": "node_1717",
      "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n\nPerformance:\n  Mass: 129.94 kg\n  Factor of Safety: 0.48\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": 129.94295909766865,
      "fos_buckling": 0.47765070790201086,
      "fos_yielding": 2.9658857635918476,
      "deflection": 0.017754461248393725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.203)"
      },
      "parent_node_id": "node_1716",
      "improvement_over_parent": null
    },
    "node_1718": {
      "node_id": "node_1718",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n  Mass: 149.61 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.61238765085983,
      "fos_buckling": 0.4764127891730044,
      "fos_yielding": 2.9639721920857816,
      "deflection": 0.015671831351415807,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005403)"
      },
      "parent_node_id": "node_1717",
      "improvement_over_parent": null
    },
    "node_1719": {
      "node_id": "node_1719",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 194.87 kg\n  Factor of Safety: 0.59\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": 194.86782224975022,
      "fos_buckling": 0.5921923335629005,
      "fos_yielding": 3.8519685514467157,
      "deflection": 0.012092822648984383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_1718",
      "improvement_over_parent": null
    },
    "node_1720": {
      "node_id": "node_1720",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.64541699263572,
      "fos_buckling": 1.5259143087993412,
      "fos_yielding": 4.604872851761473,
      "deflection": 0.006968471960605765,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_1719",
      "improvement_over_parent": null
    },
    "node_1721": {
      "node_id": "node_1721",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1720",
      "improvement_over_parent": null
    },
    "node_1722": {
      "node_id": "node_1722",
      "content": "INITIAL DESIGN (Trace 248)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 148.39 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.39091849636947,
      "fos_buckling": 0.543670307785483,
      "fos_yielding": 3.57710371921476,
      "deflection": 0.01319758403365041,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1723": {
      "node_id": "node_1723",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 190.74 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.7446106345437,
      "fos_buckling": 0.6829296444476938,
      "fos_yielding": 4.586620735314842,
      "deflection": 0.01029405671736682,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_1722",
      "improvement_over_parent": null
    },
    "node_1724": {
      "node_id": "node_1724",
      "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 201.90 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.90145086487667,
      "fos_buckling": 0.9799865268085681,
      "fos_yielding": 4.585803092456195,
      "deflection": 0.008823215695064479,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.577)"
      },
      "parent_node_id": "node_1723",
      "improvement_over_parent": null
    },
    "node_1725": {
      "node_id": "node_1725",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n  Mass: 222.85 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.08e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.85206403207934,
      "fos_buckling": 1.4793588740450332,
      "fos_yielding": 4.601511582293345,
      "deflection": 0.007077357797176711,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005782)"
      },
      "parent_node_id": "node_1724",
      "improvement_over_parent": null
    },
    "node_1726": {
      "node_id": "node_1726",
      "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0089)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n  Mass: 228.29 kg\n  Factor of Safety: 1.48\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.28568255426828,
      "fos_buckling": 1.4770462585423942,
      "fos_yielding": 4.5743425205685595,
      "deflection": 0.006988388244148506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.244)"
      },
      "parent_node_id": "node_1725",
      "improvement_over_parent": null
    },
    "node_1727": {
      "node_id": "node_1727",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1726",
      "improvement_over_parent": null
    },
    "node_1728": {
      "node_id": "node_1728",
      "content": "INITIAL DESIGN (Trace 249)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n  Mass: 133.44 kg\n  Factor of Safety: 0.37\n  Max Deflection: 5.09e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.44206641892848,
      "fos_buckling": 0.3656630789151884,
      "fos_yielding": 2.6783942448367517,
      "deflection": 0.050907307189029825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1729": {
      "node_id": "node_1729",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n  Mass: 157.61 kg\n  Factor of Safety: 0.42\n  Max Deflection: 4.32e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.61479065386266,
      "fos_buckling": 0.42209470079396094,
      "fos_yielding": 3.159844245910672,
      "deflection": 0.04315478156389243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_1728",
      "improvement_over_parent": null
    },
    "node_1730": {
      "node_id": "node_1730",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n  Mass: 159.57 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.568170567666,
      "fos_buckling": 0.5031997857148611,
      "fos_yielding": 3.1594395128892705,
      "deflection": 0.014708797773017668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003048)"
      },
      "parent_node_id": "node_1729",
      "improvement_over_parent": null
    },
    "node_1731": {
      "node_id": "node_1731",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 194.74 kg\n  Factor of Safety: 0.59\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": 194.7367140544111,
      "fos_buckling": 0.5921075358533704,
      "fos_yielding": 3.8491362406093446,
      "deflection": 0.012099573758980813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_1730",
      "improvement_over_parent": null
    },
    "node_1732": {
      "node_id": "node_1732",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5143087972966,
      "fos_buckling": 1.5258183099884457,
      "fos_yielding": 4.601549151960137,
      "deflection": 0.006972382400368688,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_1731",
      "improvement_over_parent": null
    },
    "node_1733": {
      "node_id": "node_1733",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 250)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 154.95 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.9516615714543,
      "fos_buckling": 0.8308165370367806,
      "fos_yielding": 4.079371549298963,
      "deflection": 0.011489318496605299,
      "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 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n  Mass: 172.12 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.46e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.12032399209806,
      "fos_buckling": 0.9840063377366662,
      "fos_yielding": 3.6733384521846264,
      "deflection": 0.009462691976414963,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005297)"
      },
      "parent_node_id": "node_1734",
      "improvement_over_parent": null
    },
    "node_1736": {
      "node_id": "node_1736",
      "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0068)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n  Mass: 174.20 kg\n  Factor of Safety: 0.96\n  Max Deflection: 9.34e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.1965505823695,
      "fos_buckling": 0.9581154172947285,
      "fos_yielding": 4.180914198206776,
      "deflection": 0.009336604824029456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.585)"
      },
      "parent_node_id": "node_1735",
      "improvement_over_parent": null
    },
    "node_1737": {
      "node_id": "node_1737",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0087)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 219.80 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.43e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.79885336096925,
      "fos_buckling": 1.1926468016408351,
      "fos_yielding": 5.264084016121689,
      "deflection": 0.0074286779943812204,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_1736",
      "improvement_over_parent": null
    },
    "node_1738": {
      "node_id": "node_1738",
      "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0087)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0105)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 229.87 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.25e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.8689139905551,
      "fos_buckling": 1.1492999049132453,
      "fos_yielding": 5.195606108377653,
      "deflection": 0.007247440877675412,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.453)"
      },
      "parent_node_id": "node_1737",
      "improvement_over_parent": null
    },
    "node_1739": {
      "node_id": "node_1739",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 251)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 173.85 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.84574968354755,
      "fos_buckling": 0.984569946753499,
      "fos_yielding": 5.145326395534688,
      "deflection": 0.011490705316360029,
      "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 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 198.97 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.61e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.9650446610485,
      "fos_buckling": 0.9813316129587288,
      "fos_yielding": 4.587765251844623,
      "deflection": 0.009605100763951333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_1740",
      "improvement_over_parent": null
    },
    "node_1742": {
      "node_id": "node_1742",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 221.06 kg\n  Factor of Safety: 1.52\n  Max Deflection: 7.25e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 221.0561927897088,
      "fos_buckling": 1.5238327499303057,
      "fos_yielding": 4.606660357915198,
      "deflection": 0.0072510950386298,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1741",
      "improvement_over_parent": null
    },
    "node_1743": {
      "node_id": "node_1743",
      "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.65082077376587,
      "fos_buckling": 1.5259959594511958,
      "fos_yielding": 4.6041852301525665,
      "deflection": 0.0069683628605713074,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.339)"
      },
      "parent_node_id": "node_1742",
      "improvement_over_parent": null
    },
    "node_1744": {
      "node_id": "node_1744",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1743",
      "improvement_over_parent": null
    },
    "node_1745": {
      "node_id": "node_1745",
      "content": "INITIAL DESIGN (Trace 252)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 169.38 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.3782162789596,
      "fos_buckling": 0.9138392518972427,
      "fos_yielding": 3.166135498479809,
      "deflection": 0.010301719198594008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1746": {
      "node_id": "node_1746",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 190.77 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.17e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.76521346741183,
      "fos_buckling": 1.0055773385142326,
      "fos_yielding": 3.5745499324037335,
      "deflection": 0.009170328991434896,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_1745",
      "improvement_over_parent": null
    },
    "node_1747": {
      "node_id": "node_1747",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 215.88 kg\n  Factor of Safety: 1.18\n  Max Deflection: 7.42e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.88450844491277,
      "fos_buckling": 1.1847174514873546,
      "fos_yielding": 3.589007874634464,
      "deflection": 0.007422355321233596,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_1746",
      "improvement_over_parent": null
    },
    "node_1748": {
      "node_id": "node_1748",
      "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 222.12 kg\n  Factor of Safety: 1.17\n  Max Deflection: 7.27e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.11870139312478,
      "fos_buckling": 1.1705772670197114,
      "fos_yielding": 3.5461713034845723,
      "deflection": 0.007270709971927646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.353)"
      },
      "parent_node_id": "node_1747",
      "improvement_over_parent": null
    },
    "node_1749": {
      "node_id": "node_1749",
      "content": "MODIFICATION: Increase 4 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 223.60 kg\n  Factor of Safety: 1.52\n  Max Deflection: 7.13e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 223.59655991769407,
      "fos_buckling": 1.524858766979639,
      "fos_yielding": 4.605750600288386,
      "deflection": 0.007127687682193415,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.560)"
      },
      "parent_node_id": "node_1748",
      "improvement_over_parent": null
    },
    "node_1750": {
      "node_id": "node_1750",
      "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.64171835368873,
      "fos_buckling": 1.5260244894846344,
      "fos_yielding": 4.604328959439715,
      "deflection": 0.0069686874224140815,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.186)"
      },
      "parent_node_id": "node_1749",
      "improvement_over_parent": null
    },
    "node_1751": {
      "node_id": "node_1751",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1750",
      "improvement_over_parent": null
    },
    "node_1752": {
      "node_id": "node_1752",
      "content": "INITIAL DESIGN (Trace 253)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 154.88 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.8795643457777,
      "fos_buckling": 0.8396796905551211,
      "fos_yielding": 4.131171359694684,
      "deflection": 0.011341377284813563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1753": {
      "node_id": "node_1753",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 193.24 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.13e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.23934381692868,
      "fos_buckling": 1.0059194795296391,
      "fos_yielding": 5.148424810221687,
      "deflection": 0.009130262176486463,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_1752",
      "improvement_over_parent": null
    },
    "node_1754": {
      "node_id": "node_1754",
      "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 202.63 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.6279173117563,
      "fos_buckling": 1.0046834682962857,
      "fos_yielding": 5.148424810221687,
      "deflection": 0.008707166391833613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.555)"
      },
      "parent_node_id": "node_1753",
      "improvement_over_parent": null
    },
    "node_1755": {
      "node_id": "node_1755",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.74721228925725,
      "fos_buckling": 1.5265897372177417,
      "fos_yielding": 4.607037497275497,
      "deflection": 0.006965429942357687,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_1754",
      "improvement_over_parent": null
    },
    "node_1756": {
      "node_id": "node_1756",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1755",
      "improvement_over_parent": null
    },
    "node_1757": {
      "node_id": "node_1757",
      "content": "INITIAL DESIGN (Trace 254)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 136.07 kg\n  Factor of Safety: 0.77\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": 136.07468970166474,
      "fos_buckling": 0.7682645083529405,
      "fos_yielding": 2.5108311625670714,
      "deflection": 0.014500310288968941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1758": {
      "node_id": "node_1758",
      "content": "MODIFICATION: Increase 2 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 139.77 kg\n  Factor of Safety: 0.77\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": 139.76789747672285,
      "fos_buckling": 0.7678830299084941,
      "fos_yielding": 2.5108311625670714,
      "deflection": 0.01450744638887683,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.319)"
      },
      "parent_node_id": "node_1757",
      "improvement_over_parent": null
    },
    "node_1759": {
      "node_id": "node_1759",
      "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 140.97 kg\n  Factor of Safety: 0.77\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": 140.9697678461333,
      "fos_buckling": 0.7678830299084941,
      "fos_yielding": 3.7406566357435933,
      "deflection": 0.01450744638887683,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.522)"
      },
      "parent_node_id": "node_1758",
      "improvement_over_parent": null
    },
    "node_1760": {
      "node_id": "node_1760",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 157.91 kg\n  Factor of Safety: 0.85\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": 157.9115074444282,
      "fos_buckling": 0.8471759436349606,
      "fos_yielding": 4.188086752941951,
      "deflection": 0.012967521423061814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_1759",
      "improvement_over_parent": null
    },
    "node_1761": {
      "node_id": "node_1761",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n  Mass: 175.52 kg\n  Factor of Safety: 0.84\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": 175.51972643492223,
      "fos_buckling": 0.8415057133227517,
      "fos_yielding": 4.17572012568405,
      "deflection": 0.012998231815045733,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005443)"
      },
      "parent_node_id": "node_1760",
      "improvement_over_parent": null
    },
    "node_1762": {
      "node_id": "node_1762",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 216.08 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.07878622808525,
      "fos_buckling": 0.9986781158423509,
      "fos_yielding": 5.129030978692488,
      "deflection": 0.010592876630577277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_1761",
      "improvement_over_parent": null
    },
    "node_1763": {
      "node_id": "node_1763",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 218.46 kg\n  Factor of Safety: 1.42\n  Max Deflection: 7.21e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.4634685396714,
      "fos_buckling": 1.4217918719695775,
      "fos_yielding": 4.608391362372005,
      "deflection": 0.0072112490122457,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_1762",
      "improvement_over_parent": null
    },
    "node_1764": {
      "node_id": "node_1764",
      "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0132)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 235.88 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.81e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.87954556250818,
      "fos_buckling": 1.4222723197812006,
      "fos_yielding": 4.681001214969482,
      "deflection": 0.006813059089225883,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.623)"
      },
      "parent_node_id": "node_1763",
      "improvement_over_parent": null
    },
    "node_1765": {
      "node_id": "node_1765",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1764",
      "improvement_over_parent": null
    },
    "node_1766": {
      "node_id": "node_1766",
      "content": "INITIAL DESIGN (Trace 255)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_1767": {
      "node_id": "node_1767",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 169.35 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.3538878115918,
      "fos_buckling": 0.8557280077747632,
      "fos_yielding": 4.231350386965634,
      "deflection": 0.010551857848491988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005758)"
      },
      "parent_node_id": "node_1766",
      "improvement_over_parent": null
    },
    "node_1768": {
      "node_id": "node_1768",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 206.06 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.05707079102862,
      "fos_buckling": 1.00408854728532,
      "fos_yielding": 5.145969997801292,
      "deflection": 0.008710906148584772,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_1767",
      "improvement_over_parent": null
    },
    "node_1769": {
      "node_id": "node_1769",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.71636706787604,
      "fos_buckling": 1.5263872055984453,
      "fos_yielding": 4.606229362044431,
      "deflection": 0.0069663402394138235,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1768",
      "improvement_over_parent": null
    },
    "node_1770": {
      "node_id": "node_1770",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1769",
      "improvement_over_parent": null
    },
    "node_1771": {
      "node_id": "node_1771",
      "content": "INITIAL DESIGN (Trace 256)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 115.91 kg\n  Factor of Safety: 0.37\n  Max Deflection: 5.68e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.91356743933403,
      "fos_buckling": 0.36537133866530186,
      "fos_yielding": 2.541370117749544,
      "deflection": 56790464277985.04,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1772": {
      "node_id": "node_1772",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 147.93 kg\n  Factor of Safety: 1.12\n  Max Deflection: 9.60e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.92878817853082,
      "fos_buckling": 1.1171461804477827,
      "fos_yielding": 2.911425203999331,
      "deflection": 9599161003499.678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_1771",
      "improvement_over_parent": null
    },
    "node_1773": {
      "node_id": "node_1773",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n  Mass: 176.43 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.43294371444767,
      "fos_buckling": 0.8845349023947537,
      "fos_yielding": 2.7780206349355088,
      "deflection": 0.010155156757336265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007037)"
      },
      "parent_node_id": "node_1772",
      "improvement_over_parent": null
    },
    "node_1774": {
      "node_id": "node_1774",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n\nPerformance:\n  Mass: 198.97 kg\n  Factor of Safety: 1.07\n  Max Deflection: 8.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.97434079184586,
      "fos_buckling": 1.0698275168685294,
      "fos_yielding": 2.7881067411380225,
      "deflection": 0.00805324220994192,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006258)"
      },
      "parent_node_id": "node_1773",
      "improvement_over_parent": null
    },
    "node_1775": {
      "node_id": "node_1775",
      "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n\nPerformance:\n  Mass: 200.38 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.89e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.38478123307786,
      "fos_buckling": 1.3766519276692826,
      "fos_yielding": 4.05712746920891,
      "deflection": 0.007892299271649073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.506)"
      },
      "parent_node_id": "node_1774",
      "improvement_over_parent": null
    },
    "node_1776": {
      "node_id": "node_1776",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5604310365123,
      "fos_buckling": 1.5257683403343503,
      "fos_yielding": 4.603102765435821,
      "deflection": 0.006971040928385712,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_1775",
      "improvement_over_parent": null
    },
    "node_1777": {
      "node_id": "node_1777",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1776",
      "improvement_over_parent": null
    },
    "node_1778": {
      "node_id": "node_1778",
      "content": "INITIAL DESIGN (Trace 257)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 162.23 kg\n  Factor of Safety: 0.62\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": 162.23272254983294,
      "fos_buckling": 0.6187435913403114,
      "fos_yielding": 4.270531261806707,
      "deflection": 0.014532729457298655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1779": {
      "node_id": "node_1779",
      "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 173.45 kg\n  Factor of Safety: 0.62\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": 173.44853948961799,
      "fos_buckling": 0.6178318688554338,
      "fos_yielding": 4.268532686889152,
      "deflection": 0.014034299969550851,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.570)"
      },
      "parent_node_id": "node_1778",
      "improvement_over_parent": null
    },
    "node_1780": {
      "node_id": "node_1780",
      "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 181.72 kg\n  Factor of Safety: 0.62\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": 181.72238209128705,
      "fos_buckling": 0.6171610167608412,
      "fos_yielding": 4.267059548410966,
      "deflection": 0.014047178799517755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.462)"
      },
      "parent_node_id": "node_1779",
      "improvement_over_parent": null
    },
    "node_1781": {
      "node_id": "node_1781",
      "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 190.86 kg\n  Factor of Safety: 0.62\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": 190.8593991827026,
      "fos_buckling": 0.6164218682712199,
      "fos_yielding": 4.262186330507744,
      "deflection": 0.01208758197957086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.608)"
      },
      "parent_node_id": "node_1780",
      "improvement_over_parent": null
    },
    "node_1782": {
      "node_id": "node_1782",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 223.25 kg\n  Factor of Safety: 1.53\n  Max Deflection: 7.14e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 223.25301882282088,
      "fos_buckling": 1.5265174323773663,
      "fos_yielding": 4.5734866749685015,
      "deflection": 0.007144913530176166,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1781",
      "improvement_over_parent": null
    },
    "node_1783": {
      "node_id": "node_1783",
      "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6449188470586,
      "fos_buckling": 1.526258402445531,
      "fos_yielding": 4.604380493715285,
      "deflection": 0.006968496370290729,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.202)"
      },
      "parent_node_id": "node_1782",
      "improvement_over_parent": null
    },
    "node_1784": {
      "node_id": "node_1784",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1783",
      "improvement_over_parent": null
    },
    "node_1785": {
      "node_id": "node_1785",
      "content": "INITIAL DESIGN (Trace 258)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 148.86 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.85620591597123,
      "fos_buckling": 0.7681186028182293,
      "fos_yielding": 2.2076347571001302,
      "deflection": 0.012023451890214166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1786": {
      "node_id": "node_1786",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 181.08 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.92e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.07517784862452,
      "fos_buckling": 0.9046438892996828,
      "fos_yielding": 2.69772315819407,
      "deflection": 0.00992025532945821,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_1785",
      "improvement_over_parent": null
    },
    "node_1787": {
      "node_id": "node_1787",
      "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 182.70 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.73e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.70128670393674,
      "fos_buckling": 0.9046438892996826,
      "fos_yielding": 4.1553049145083,
      "deflection": 0.009726601520668322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.603)"
      },
      "parent_node_id": "node_1786",
      "improvement_over_parent": null
    },
    "node_1788": {
      "node_id": "node_1788",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n\nPerformance:\n  Mass: 201.69 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.80e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.69283601778315,
      "fos_buckling": 1.3658160343990344,
      "fos_yielding": 4.169657758702745,
      "deflection": 0.007801132738457396,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005204)"
      },
      "parent_node_id": "node_1787",
      "improvement_over_parent": null
    },
    "node_1789": {
      "node_id": "node_1789",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n  Mass: 223.02 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.02322775026497,
      "fos_buckling": 1.4812814889143038,
      "fos_yielding": 4.606398687619207,
      "deflection": 0.007072247025949724,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_1788",
      "improvement_over_parent": null
    },
    "node_1790": {
      "node_id": "node_1790",
      "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0088)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n  Mass: 228.35 kg\n  Factor of Safety: 1.48\n  Max Deflection: 6.98e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.34948294819262,
      "fos_buckling": 1.4790057108470283,
      "fos_yielding": 4.579673482329324,
      "deflection": 0.00698482641903503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.239)"
      },
      "parent_node_id": "node_1789",
      "improvement_over_parent": null
    },
    "node_1791": {
      "node_id": "node_1791",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1790",
      "improvement_over_parent": null
    },
    "node_1792": {
      "node_id": "node_1792",
      "content": "INITIAL DESIGN (Trace 259)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 143.54 kg\n  Factor of Safety: 0.84\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": 143.53832472264668,
      "fos_buckling": 0.8434996207628925,
      "fos_yielding": 3.9911113775813174,
      "deflection": 0.012884006500022603,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1793": {
      "node_id": "node_1793",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 164.33 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.32931583745415,
      "fos_buckling": 0.8411932967151028,
      "fos_yielding": 3.8087846781202948,
      "deflection": 0.01063902404680521,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005800)"
      },
      "parent_node_id": "node_1792",
      "improvement_over_parent": null
    },
    "node_1794": {
      "node_id": "node_1794",
      "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 164.95 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.94916700773487,
      "fos_buckling": 0.8410561761266496,
      "fos_yielding": 3.802300451361911,
      "deflection": 0.010604376689746791,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.493)"
      },
      "parent_node_id": "node_1793",
      "improvement_over_parent": null
    },
    "node_1795": {
      "node_id": "node_1795",
      "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 169.31 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.31412813414704,
      "fos_buckling": 0.840573733537869,
      "fos_yielding": 3.8019862467982932,
      "deflection": 0.010609992166321441,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.279)"
      },
      "parent_node_id": "node_1794",
      "improvement_over_parent": null
    },
    "node_1796": {
      "node_id": "node_1796",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n  Mass: 187.60 kg\n  Factor of Safety: 1.14\n  Max Deflection: 8.48e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.59978423782573,
      "fos_buckling": 1.136899652491119,
      "fos_yielding": 3.429211618983904,
      "deflection": 0.008478368077552513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005605)"
      },
      "parent_node_id": "node_1795",
      "improvement_over_parent": null
    },
    "node_1797": {
      "node_id": "node_1797",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 226.73 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.04e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.73245159714864,
      "fos_buckling": 1.3456594663524795,
      "fos_yielding": 4.154526194622311,
      "deflection": 0.0070448473836763215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_1796",
      "improvement_over_parent": null
    },
    "node_1798": {
      "node_id": "node_1798",
      "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.41 kg\n  Factor of Safety: 1.34\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.4141465107888,
      "fos_buckling": 1.3426963721853487,
      "fos_yielding": 4.145378076066103,
      "deflection": 0.006987811142178499,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.325)"
      },
      "parent_node_id": "node_1797",
      "improvement_over_parent": null
    },
    "node_1799": {
      "node_id": "node_1799",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1798",
      "improvement_over_parent": null
    },
    "node_1800": {
      "node_id": "node_1800",
      "content": "INITIAL DESIGN (Trace 260)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\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_1801": {
      "node_id": "node_1801",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n\nPerformance:\n  Mass: 152.53 kg\n  Factor of Safety: 0.13\n  Max Deflection: 9.71e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.52570107256034,
      "fos_buckling": 0.13039858713444544,
      "fos_yielding": 1.2801789977574314,
      "deflection": 97126941542181.22,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005512)"
      },
      "parent_node_id": "node_1800",
      "improvement_over_parent": null
    },
    "node_1802": {
      "node_id": "node_1802",
      "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n\nPerformance:\n  Mass: 160.05 kg\n  Factor of Safety: 0.13\n  Max Deflection: 4.33e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.05436141989983,
      "fos_buckling": 0.13039858713444544,
      "fos_yielding": 1.8840138353034528,
      "deflection": 43266492510369.68,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.567)"
      },
      "parent_node_id": "node_1801",
      "improvement_over_parent": null
    },
    "node_1803": {
      "node_id": "node_1803",
      "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0106)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n\nPerformance:\n  Mass: 170.44 kg\n  Factor of Safety: 0.17\n  Max Deflection: 1.77e+14 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.44273463080484,
      "fos_buckling": 0.1698773896416104,
      "fos_yielding": 1.6699184661133977,
      "deflection": 176795521533878.9,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.468)"
      },
      "parent_node_id": "node_1802",
      "improvement_over_parent": null
    },
    "node_1804": {
      "node_id": "node_1804",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0106)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 192.10 kg\n  Factor of Safety: 0.37\n  Max Deflection: 3.90e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.10203090765225,
      "fos_buckling": 0.3685101967455662,
      "fos_yielding": 3.851955019710501,
      "deflection": 0.03899401156242395,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1803",
      "improvement_over_parent": null
    },
    "node_1805": {
      "node_id": "node_1805",
      "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0074)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0106)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 193.66 kg\n  Factor of Safety: 0.37\n  Max Deflection: 3.88e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.65903686527918,
      "fos_buckling": 0.3685101967455662,
      "fos_yielding": 3.9947436876576785,
      "deflection": 0.03877503868827837,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.353)"
      },
      "parent_node_id": "node_1804",
      "improvement_over_parent": null
    },
    "node_1806": {
      "node_id": "node_1806",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0074)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0106)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 196.04 kg\n  Factor of Safety: 0.59\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": 196.04371917686532,
      "fos_buckling": 0.5922973411840493,
      "fos_yielding": 3.9729159005783643,
      "deflection": 0.012242492000673375,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_1805",
      "improvement_over_parent": null
    },
    "node_1807": {
      "node_id": "node_1807",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0074)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0106)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 228.82 kg\n  Factor of Safety: 1.27\n  Max Deflection: 7.22e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.82131391975082,
      "fos_buckling": 1.266290274710585,
      "fos_yielding": 3.933019675427656,
      "deflection": 0.00721929837516002,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_1806",
      "improvement_over_parent": null
    },
    "node_1808": {
      "node_id": "node_1808",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1807",
      "improvement_over_parent": null
    },
    "node_1809": {
      "node_id": "node_1809",
      "content": "INITIAL DESIGN (Trace 261)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\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_1810": {
      "node_id": "node_1810",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n  Mass: 121.02 kg\n  Factor of Safety: 1.76\n  Max Deflection: 1.81e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 121.02220602859698,
      "fos_buckling": 1.7612367827757138,
      "fos_yielding": 5.307944126101783,
      "deflection": 18059645520383.477,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005962)"
      },
      "parent_node_id": "node_1809",
      "improvement_over_parent": null
    },
    "node_1811": {
      "node_id": "node_1811",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 136.88 kg\n  Factor of Safety: 0.04\n  Max Deflection: 1.19e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.88250527096713,
      "fos_buckling": 0.03876260388660187,
      "fos_yielding": 0.22842970877636903,
      "deflection": 118664570114529.19,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_1810",
      "improvement_over_parent": null
    },
    "node_1812": {
      "node_id": "node_1812",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 169.28 kg\n  Factor of Safety: 0.59\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": 169.27612491108542,
      "fos_buckling": 0.5945072866013527,
      "fos_yielding": 3.8557629823702504,
      "deflection": 0.01369092076308407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1811",
      "improvement_over_parent": null
    },
    "node_1813": {
      "node_id": "node_1813",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 202.05 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.05371965397092,
      "fos_buckling": 0.9809191017228802,
      "fos_yielding": 4.589055268994515,
      "deflection": 0.008815977306482337,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_1812",
      "improvement_over_parent": null
    },
    "node_1814": {
      "node_id": "node_1814",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.67024856326552,
      "fos_buckling": 1.5260670980263402,
      "fos_yielding": 4.605451825368789,
      "deflection": 0.0069678207069460655,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1813",
      "improvement_over_parent": null
    },
    "node_1815": {
      "node_id": "node_1815",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1814",
      "improvement_over_parent": null
    },
    "node_1816": {
      "node_id": "node_1816",
      "content": "INITIAL DESIGN (Trace 262)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1817": {
      "node_id": "node_1817",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 205.54 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.54183912695203,
      "fos_buckling": 0.9804872604151356,
      "fos_yielding": 4.587203241099992,
      "deflection": 0.008819898318209389,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1816",
      "improvement_over_parent": null
    },
    "node_1818": {
      "node_id": "node_1818",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63298725561233,
      "fos_buckling": 1.5259788749908192,
      "fos_yielding": 4.604199109896495,
      "deflection": 0.006968967111365604,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1817",
      "improvement_over_parent": null
    },
    "node_1819": {
      "node_id": "node_1819",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1818",
      "improvement_over_parent": null
    },
    "node_1820": {
      "node_id": "node_1820",
      "content": "INITIAL DESIGN (Trace 263)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 143.92 kg\n  Factor of Safety: 0.74\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": 143.91891627535878,
      "fos_buckling": 0.7421313633806017,
      "fos_yielding": 3.286501524499295,
      "deflection": 0.012283858271566172,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1821": {
      "node_id": "node_1821",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 174.79 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.78506989719423,
      "fos_buckling": 0.8741735391810217,
      "fos_yielding": 3.9866735260376864,
      "deflection": 0.010152239586483414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_1820",
      "improvement_over_parent": null
    },
    "node_1822": {
      "node_id": "node_1822",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n\nPerformance:\n  Mass: 197.00 kg\n  Factor of Safety: 1.35\n  Max Deflection: 8.08e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.99728915901545,
      "fos_buckling": 1.34721038049003,
      "fos_yielding": 4.004670067703302,
      "deflection": 0.008083619085566311,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006159)"
      },
      "parent_node_id": "node_1821",
      "improvement_over_parent": null
    },
    "node_1823": {
      "node_id": "node_1823",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.13 kg\n  Factor of Safety: 1.51\n  Max Deflection: 7.03e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.1290402949204,
      "fos_buckling": 1.5121360299978386,
      "fos_yielding": 4.612242439358575,
      "deflection": 0.007033901727189277,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1822",
      "improvement_over_parent": null
    },
    "node_1824": {
      "node_id": "node_1824",
      "content": "MODIFICATION: Increase 5 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.60820369263223,
      "fos_buckling": 1.5258977662923914,
      "fos_yielding": 4.603811781919893,
      "deflection": 0.006969586213083776,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.276)"
      },
      "parent_node_id": "node_1823",
      "improvement_over_parent": null
    },
    "node_1825": {
      "node_id": "node_1825",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1824",
      "improvement_over_parent": null
    },
    "node_1826": {
      "node_id": "node_1826",
      "content": "INITIAL DESIGN (Trace 264)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 162.33 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.3296620741225,
      "fos_buckling": 0.8470524086656152,
      "fos_yielding": 3.390961973136429,
      "deflection": 0.01084467754623515,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1827": {
      "node_id": "node_1827",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 194.67 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.08e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.6744464805217,
      "fos_buckling": 0.981693440013573,
      "fos_yielding": 4.087191363355891,
      "deflection": 0.00908019883070554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_1826",
      "improvement_over_parent": null
    },
    "node_1828": {
      "node_id": "node_1828",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 216.77 kg\n  Factor of Safety: 1.17\n  Max Deflection: 7.36e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.76559460918202,
      "fos_buckling": 1.1653195177309936,
      "fos_yielding": 3.524490135766903,
      "deflection": 0.007355205516146295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1827",
      "improvement_over_parent": null
    },
    "node_1829": {
      "node_id": "node_1829",
      "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0060)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 217.96 kg\n  Factor of Safety: 1.16\n  Max Deflection: 7.28e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.95967478769126,
      "fos_buckling": 1.1617544687976664,
      "fos_yielding": 3.5137077026162906,
      "deflection": 0.007282709563576712,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.585)"
      },
      "parent_node_id": "node_1828",
      "improvement_over_parent": null
    },
    "node_1830": {
      "node_id": "node_1830",
      "content": "MODIFICATION: Increase 9 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0060)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0134)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 236.07 kg\n  Factor of Safety: 1.16\n  Max Deflection: 6.81e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.0691514442976,
      "fos_buckling": 1.1607195447396172,
      "fos_yielding": 3.5105775914507586,
      "deflection": 0.006812192421396014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.650)"
      },
      "parent_node_id": "node_1829",
      "improvement_over_parent": null
    },
    "node_1831": {
      "node_id": "node_1831",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1830",
      "improvement_over_parent": null
    },
    "node_1832": {
      "node_id": "node_1832",
      "content": "INITIAL DESIGN (Trace 265)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0035)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1833": {
      "node_id": "node_1833",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0035)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n\nPerformance:\n  Mass: 109.53 kg\n  Factor of Safety: 0.49\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": 109.5306285180339,
      "fos_buckling": 0.493461211671751,
      "fos_yielding": 3.3013129398390935,
      "deflection": 0.01835686484658214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004268)"
      },
      "parent_node_id": "node_1832",
      "improvement_over_parent": null
    },
    "node_1834": {
      "node_id": "node_1834",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n\nPerformance:\n  Mass: 123.75 kg\n  Factor of Safety: 0.55\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": 123.74882919369469,
      "fos_buckling": 0.5521974717485779,
      "fos_yielding": 3.7278425030586932,
      "deflection": 0.016271645012505553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_1833",
      "improvement_over_parent": null
    },
    "node_1835": {
      "node_id": "node_1835",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n\nPerformance:\n  Mass: 139.32 kg\n  Factor of Safety: 0.62\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": 139.32148288191965,
      "fos_buckling": 0.6151332990332522,
      "fos_yielding": 4.194427313535448,
      "deflection": 0.014475915512094461,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_1834",
      "improvement_over_parent": null
    },
    "node_1836": {
      "node_id": "node_1836",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 171.17 kg\n  Factor of Safety: 0.74\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": 171.17395448881493,
      "fos_buckling": 0.7393248352041306,
      "fos_yielding": 5.1468246295845255,
      "deflection": 0.011819915824557672,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_1835",
      "improvement_over_parent": null
    },
    "node_1837": {
      "node_id": "node_1837",
      "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0103)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 180.80 kg\n  Factor of Safety: 0.74\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": 180.80452888121954,
      "fos_buckling": 0.7383903137879401,
      "fos_yielding": 5.142495015662355,
      "deflection": 0.011837310916844698,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.441)"
      },
      "parent_node_id": "node_1836",
      "improvement_over_parent": null
    },
    "node_1838": {
      "node_id": "node_1838",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0103)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 202.46 kg\n  Factor of Safety: 0.74\n  Max Deflection: 9.78e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.46382515806698,
      "fos_buckling": 0.7362971691198736,
      "fos_yielding": 4.546484583192071,
      "deflection": 0.00978491815200026,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1837",
      "improvement_over_parent": null
    },
    "node_1839": {
      "node_id": "node_1839",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0103)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 228.08 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.22e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.08035406736158,
      "fos_buckling": 1.2450366609059058,
      "fos_yielding": 4.5667201394615695,
      "deflection": 0.007218200181241888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1838",
      "improvement_over_parent": null
    },
    "node_1840": {
      "node_id": "node_1840",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1839",
      "improvement_over_parent": null
    },
    "node_1841": {
      "node_id": "node_1841",
      "content": "INITIAL DESIGN (Trace 266)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\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_1842": {
      "node_id": "node_1842",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 179.71 kg\n  Factor of Safety: 0.50\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": 179.7148766428274,
      "fos_buckling": 0.49844309244462776,
      "fos_yielding": 3.8536513589267347,
      "deflection": 0.035980025131794005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1841",
      "improvement_over_parent": null
    },
    "node_1843": {
      "node_id": "node_1843",
      "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 183.20 kg\n  Factor of Safety: 0.50\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": 183.20466445370283,
      "fos_buckling": 0.49821182338371167,
      "fos_yielding": 3.8532110004380087,
      "deflection": 0.03540382134800616,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.206)"
      },
      "parent_node_id": "node_1842",
      "improvement_over_parent": null
    },
    "node_1844": {
      "node_id": "node_1844",
      "content": "MODIFICATION: Increase 1 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 192.49 kg\n  Factor of Safety: 0.50\n  Max Deflection: 3.54e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.48539494766607,
      "fos_buckling": 0.49821182338371195,
      "fos_yielding": 3.85204040204211,
      "deflection": 0.035403944461886,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.536)"
      },
      "parent_node_id": "node_1843",
      "improvement_over_parent": null
    },
    "node_1845": {
      "node_id": "node_1845",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 194.87 kg\n  Factor of Safety: 0.59\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": 194.8700772592522,
      "fos_buckling": 0.5923909754595517,
      "fos_yielding": 3.8514391085077375,
      "deflection": 0.012092572089401912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_1844",
      "improvement_over_parent": null
    },
    "node_1846": {
      "node_id": "node_1846",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6476720021377,
      "fos_buckling": 1.5258712594414598,
      "fos_yielding": 4.604265109696548,
      "deflection": 0.006968531868701084,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_1845",
      "improvement_over_parent": null
    },
    "node_1847": {
      "node_id": "node_1847",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1846",
      "improvement_over_parent": null
    },
    "node_1848": {
      "node_id": "node_1848",
      "content": "INITIAL DESIGN (Trace 267)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n\nPerformance:\n  Mass: 87.78 kg\n  Factor of Safety: 0.94\n  Max Deflection: 3.91e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 87.77741158232737,
      "fos_buckling": 0.943857760697538,
      "fos_yielding": 2.4061006926793223,
      "deflection": 39112855473759.09,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1849": {
      "node_id": "node_1849",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n\nPerformance:\n  Mass: 103.90 kg\n  Factor of Safety: 0.41\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": 103.90278952880834,
      "fos_buckling": 0.40955770244210526,
      "fos_yielding": 1.8068755962797791,
      "deflection": 0.021707421754864314,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004422)"
      },
      "parent_node_id": "node_1848",
      "improvement_over_parent": null
    },
    "node_1850": {
      "node_id": "node_1850",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 129.70 kg\n  Factor of Safety: 0.50\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": 129.70126449422716,
      "fos_buckling": 0.4955834361908534,
      "fos_yielding": 2.2610417388621067,
      "deflection": 0.017444219302408005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_1849",
      "improvement_over_parent": null
    },
    "node_1851": {
      "node_id": "node_1851",
      "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 134.48 kg\n  Factor of Safety: 0.50\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": 134.47977021329206,
      "fos_buckling": 0.49527081614409607,
      "fos_yielding": 2.26068718316321,
      "deflection": 0.01745448819749382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.397)"
      },
      "parent_node_id": "node_1850",
      "improvement_over_parent": null
    },
    "node_1852": {
      "node_id": "node_1852",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 160.72 kg\n  Factor of Safety: 0.82\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": 160.72494149729306,
      "fos_buckling": 0.8180520826668056,
      "fos_yielding": 2.7075634290181925,
      "deflection": 0.011100774024354509,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006393)"
      },
      "parent_node_id": "node_1851",
      "improvement_over_parent": null
    },
    "node_1853": {
      "node_id": "node_1853",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 200.85 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.92e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.85430421096152,
      "fos_buckling": 0.981592837559294,
      "fos_yielding": 3.3975095132317654,
      "deflection": 0.00892441803048366,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_1852",
      "improvement_over_parent": null
    },
    "node_1854": {
      "node_id": "node_1854",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 226.47 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.47083312025612,
      "fos_buckling": 1.2784399119127678,
      "fos_yielding": 3.4096791884842177,
      "deflection": 0.007073209759391439,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1853",
      "improvement_over_parent": null
    },
    "node_1855": {
      "node_id": "node_1855",
      "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.80 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.8028765304094,
      "fos_buckling": 1.526684751555216,
      "fos_yielding": 4.606973308425134,
      "deflection": 0.006963852265551187,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.395)"
      },
      "parent_node_id": "node_1854",
      "improvement_over_parent": null
    },
    "node_1856": {
      "node_id": "node_1856",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1855",
      "improvement_over_parent": null
    },
    "node_1857": {
      "node_id": "node_1857",
      "content": "INITIAL DESIGN (Trace 268)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0022)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0020)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0019)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0015)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0011)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0016)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0023)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0021)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0023)]\n\nPerformance:\n  Mass: 69.29 kg\n  Factor of Safety: 0.53\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": 69.28945325810939,
      "fos_buckling": 0.5321410921165246,
      "fos_yielding": 1.409038351253132,
      "deflection": 0.02248803500763605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1858": {
      "node_id": "node_1858",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0027)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0024)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0024)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0018)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0013)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0019)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0028)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0025)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0028)]\n\nPerformance:\n  Mass: 83.68 kg\n  Factor of Safety: 0.64\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": 83.6781527479468,
      "fos_buckling": 0.635101861208385,
      "fos_yielding": 1.7008077870175065,
      "deflection": 0.01865175334770999,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_1857",
      "improvement_over_parent": null
    },
    "node_1859": {
      "node_id": "node_1859",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0028)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0021)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0033)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0033)]\n\nPerformance:\n  Mass: 98.69 kg\n  Factor of Safety: 0.74\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": 98.69261173869027,
      "fos_buckling": 0.7398050397194983,
      "fos_yielding": 2.0049619415179274,
      "deflection": 0.01584126930553989,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_1858",
      "improvement_over_parent": null
    },
    "node_1860": {
      "node_id": "node_1860",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n  Mass: 113.46 kg\n  Factor of Safety: 0.84\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": 113.45659368629751,
      "fos_buckling": 0.8400510643991017,
      "fos_yielding": 2.3037395579336004,
      "deflection": 0.013803020085289615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_1859",
      "improvement_over_parent": null
    },
    "node_1861": {
      "node_id": "node_1861",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 140.57 kg\n  Factor of Safety: 1.02\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": 140.5699079764702,
      "fos_buckling": 1.017192628270544,
      "fos_yielding": 2.8516499265526813,
      "deflection": 0.011175000066154891,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_1860",
      "improvement_over_parent": null
    },
    "node_1862": {
      "node_id": "node_1862",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 179.49 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.79e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.4910339717478,
      "fos_buckling": 1.255877718098788,
      "fos_yielding": 3.6364142685799337,
      "deflection": 0.00879038415145573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_1861",
      "improvement_over_parent": null
    },
    "node_1863": {
      "node_id": "node_1863",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.72269596351484,
      "fos_buckling": 1.5264679671159995,
      "fos_yielding": 4.606038585972606,
      "deflection": 0.006966272937532823,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_1862",
      "improvement_over_parent": null
    },
    "node_1864": {
      "node_id": "node_1864",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1863",
      "improvement_over_parent": null
    },
    "node_1865": {
      "node_id": "node_1865",
      "content": "INITIAL DESIGN (Trace 269)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_1866": {
      "node_id": "node_1866",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n\nPerformance:\n  Mass: 138.02 kg\n  Factor of Safety: 0.86\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": 138.02194981090258,
      "fos_buckling": 0.8604211607292884,
      "fos_yielding": 4.360458212181573,
      "deflection": 0.012583387621626653,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004357)"
      },
      "parent_node_id": "node_1865",
      "improvement_over_parent": null
    },
    "node_1867": {
      "node_id": "node_1867",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n\nPerformance:\n  Mass: 156.36 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.35775574910227,
      "fos_buckling": 0.8583441116062827,
      "fos_yielding": 4.005358893455176,
      "deflection": 0.010952595535112975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005686)"
      },
      "parent_node_id": "node_1866",
      "improvement_over_parent": null
    },
    "node_1868": {
      "node_id": "node_1868",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n  Mass: 175.06 kg\n  Factor of Safety: 1.17\n  Max Deflection: 8.93e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.05703882568847,
      "fos_buckling": 1.1731342114158405,
      "fos_yielding": 4.015676335600164,
      "deflection": 0.008934233235703441,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005742)"
      },
      "parent_node_id": "node_1867",
      "improvement_over_parent": null
    },
    "node_1869": {
      "node_id": "node_1869",
      "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0091)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n  Mass: 184.82 kg\n  Factor of Safety: 1.20\n  Max Deflection: 8.84e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.8204862501084,
      "fos_buckling": 1.1999176518812755,
      "fos_yielding": 3.990533604942177,
      "deflection": 0.008838562352156538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.605)"
      },
      "parent_node_id": "node_1868",
      "improvement_over_parent": null
    },
    "node_1870": {
      "node_id": "node_1870",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0109)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 218.15 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.50e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.14703747770665,
      "fos_buckling": 1.3754315558973826,
      "fos_yielding": 4.707566634646424,
      "deflection": 0.00750482186733154,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_1869",
      "improvement_over_parent": null
    },
    "node_1871": {
      "node_id": "node_1871",
      "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0109)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 224.70 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.35e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.69551325823744,
      "fos_buckling": 1.372667727399713,
      "fos_yielding": 4.708448712461042,
      "deflection": 0.007345926212289725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.377)"
      },
      "parent_node_id": "node_1870",
      "improvement_over_parent": null
    },
    "node_1872": {
      "node_id": "node_1872",
      "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0163)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 237.16 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.30e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.15752449209714,
      "fos_buckling": 1.3899901355129842,
      "fos_yielding": 4.6883663770399036,
      "deflection": 0.007304661004363656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.493)"
      },
      "parent_node_id": "node_1871",
      "improvement_over_parent": null
    },
    "node_1873": {
      "node_id": "node_1873",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1872",
      "improvement_over_parent": null
    },
    "node_1874": {
      "node_id": "node_1874",
      "content": "INITIAL DESIGN (Trace 270)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0031)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 136.89 kg\n  Factor of Safety: 0.48\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": 136.89317178938967,
      "fos_buckling": 0.4816014362138107,
      "fos_yielding": 3.4257540429317115,
      "deflection": 0.018537269564581457,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1875": {
      "node_id": "node_1875",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 178.41 kg\n  Factor of Safety: 0.62\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": 178.40783369264275,
      "fos_buckling": 0.6164258932867831,
      "fos_yielding": 4.450507440761207,
      "deflection": 0.014239055682513966,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_1874",
      "improvement_over_parent": null
    },
    "node_1876": {
      "node_id": "node_1876",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 209.93 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.21e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.92557132889652,
      "fos_buckling": 0.7152660398496363,
      "fos_yielding": 5.223811127501358,
      "deflection": 0.012110456156036186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_1875",
      "improvement_over_parent": null
    },
    "node_1877": {
      "node_id": "node_1877",
      "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 213.12 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.21e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.12337643658208,
      "fos_buckling": 0.7162573017252378,
      "fos_yielding": 5.226811092818871,
      "deflection": 0.01211272012676953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.186)"
      },
      "parent_node_id": "node_1876",
      "improvement_over_parent": null
    },
    "node_1878": {
      "node_id": "node_1878",
      "content": "MODIFICATION: Increase 6 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 225.14 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.1417180662699,
      "fos_buckling": 0.999353939857647,
      "fos_yielding": 5.12049719506052,
      "deflection": 0.010604429138091951,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.647)"
      },
      "parent_node_id": "node_1877",
      "improvement_over_parent": null
    },
    "node_1879": {
      "node_id": "node_1879",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.53 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.52640037785605,
      "fos_buckling": 1.525414601556725,
      "fos_yielding": 4.601963986688511,
      "deflection": 0.0069720705884436145,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_1878",
      "improvement_over_parent": null
    },
    "node_1880": {
      "node_id": "node_1880",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1879",
      "improvement_over_parent": null
    },
    "node_1881": {
      "node_id": "node_1881",
      "content": "INITIAL DESIGN (Trace 271)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1882": {
      "node_id": "node_1882",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 205.46 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.73e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.45828011090654,
      "fos_buckling": 1.0038817754696863,
      "fos_yielding": 5.143770618251928,
      "deflection": 0.008732461763429929,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_1881",
      "improvement_over_parent": null
    },
    "node_1883": {
      "node_id": "node_1883",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.12 kg\n  Factor of Safety: 1.51\n  Max Deflection: 7.04e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.11757638775396,
      "fos_buckling": 1.5109839872358017,
      "fos_yielding": 4.6133917179074295,
      "deflection": 0.007039141799769413,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_1882",
      "improvement_over_parent": null
    },
    "node_1884": {
      "node_id": "node_1884",
      "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0072)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 228.46 kg\n  Factor of Safety: 1.49\n  Max Deflection: 6.98e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.45667454731154,
      "fos_buckling": 1.493190724621626,
      "fos_yielding": 5.3624073014509035,
      "deflection": 0.006975974246365916,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.302)"
      },
      "parent_node_id": "node_1883",
      "improvement_over_parent": null
    },
    "node_1885": {
      "node_id": "node_1885",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1884",
      "improvement_over_parent": null
    },
    "node_1886": {
      "node_id": "node_1886",
      "content": "INITIAL DESIGN (Trace 272)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 173.07 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.06689071054743,
      "fos_buckling": 0.884700635533406,
      "fos_yielding": 3.983293077701986,
      "deflection": 0.010393922960676984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1887": {
      "node_id": "node_1887",
      "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 180.77 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.77479878780693,
      "fos_buckling": 0.8838057079700088,
      "fos_yielding": 4.037933869777961,
      "deflection": 0.009998598883049438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.395)"
      },
      "parent_node_id": "node_1886",
      "improvement_over_parent": null
    },
    "node_1888": {
      "node_id": "node_1888",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n  Mass: 200.20 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.90e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.20083740701503,
      "fos_buckling": 1.3757114855005355,
      "fos_yielding": 4.053014846413541,
      "deflection": 0.007899417207696626,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005984)"
      },
      "parent_node_id": "node_1887",
      "improvement_over_parent": null
    },
    "node_1889": {
      "node_id": "node_1889",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.71417149557593,
      "fos_buckling": 1.5266888462165318,
      "fos_yielding": 4.605725732049968,
      "deflection": 0.006966480652000972,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_1888",
      "improvement_over_parent": null
    },
    "node_1890": {
      "node_id": "node_1890",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1889",
      "improvement_over_parent": null
    },
    "node_1891": {
      "node_id": "node_1891",
      "content": "INITIAL DESIGN (Trace 273)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0034)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n\nPerformance:\n  Mass: 85.71 kg\n  Factor of Safety: 1.05\n  Max Deflection: 2.30e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 85.70693928860129,
      "fos_buckling": 1.0467809516539341,
      "fos_yielding": 2.6931212269641387,
      "deflection": 23040181487625.344,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1892": {
      "node_id": "node_1892",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n\nPerformance:\n  Mass: 107.13 kg\n  Factor of Safety: 0.08\n  Max Deflection: 1.31e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.1285250982655,
      "fos_buckling": 0.08237674128915748,
      "fos_yielding": 0.45685941755273807,
      "deflection": 131184442531229.36,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_1891",
      "improvement_over_parent": null
    },
    "node_1893": {
      "node_id": "node_1893",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 128.55 kg\n  Factor of Safety: 0.70\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": 128.5547691589632,
      "fos_buckling": 0.7039626429986441,
      "fos_yielding": 2.7092348811772964,
      "deflection": 0.013626307307261078,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005149)"
      },
      "parent_node_id": "node_1892",
      "improvement_over_parent": null
    },
    "node_1894": {
      "node_id": "node_1894",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 144.97 kg\n  Factor of Safety: 0.92\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": 144.9728816019369,
      "fos_buckling": 0.9215818906610259,
      "fos_yielding": 2.7213040568357583,
      "deflection": 0.010989035176535452,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004507)"
      },
      "parent_node_id": "node_1893",
      "improvement_over_parent": null
    },
    "node_1895": {
      "node_id": "node_1895",
      "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 145.60 kg\n  Factor of Safety: 1.07\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": 145.60213970509056,
      "fos_buckling": 1.0679536843040904,
      "fos_yielding": 3.01688452866572,
      "deflection": 0.010866358227388836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.299)"
      },
      "parent_node_id": "node_1894",
      "improvement_over_parent": null
    },
    "node_1896": {
      "node_id": "node_1896",
      "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 148.72 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.7170063638035,
      "fos_buckling": 1.0691383627661366,
      "fos_yielding": 3.015861469347639,
      "deflection": 0.010572818394202642,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.218)"
      },
      "parent_node_id": "node_1895",
      "improvement_over_parent": null
    },
    "node_1897": {
      "node_id": "node_1897",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 192.54 kg\n  Factor of Safety: 1.33\n  Max Deflection: 8.21e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.5426781966137,
      "fos_buckling": 1.3323789296141302,
      "fos_yielding": 3.8988191954640468,
      "deflection": 0.008206785729674267,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_1896",
      "improvement_over_parent": null
    },
    "node_1898": {
      "node_id": "node_1898",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.60319036455618,
      "fos_buckling": 1.5264157521841777,
      "fos_yielding": 4.603301573278254,
      "deflection": 0.006970004818241548,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_1897",
      "improvement_over_parent": null
    },
    "node_1899": {
      "node_id": "node_1899",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1898",
      "improvement_over_parent": null
    },
    "node_1900": {
      "node_id": "node_1900",
      "content": "INITIAL DESIGN (Trace 274)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 187.56 kg\n  Factor of Safety: 0.51\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": 187.56340442418096,
      "fos_buckling": 0.510309442307962,
      "fos_yielding": 2.9479049029902713,
      "deflection": 0.035978521237121655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1901": {
      "node_id": "node_1901",
      "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 191.50 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.53e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.501186971904,
      "fos_buckling": 0.510042285263986,
      "fos_yielding": 2.9474211958759318,
      "deflection": 0.03528161388504991,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.244)"
      },
      "parent_node_id": "node_1900",
      "improvement_over_parent": null
    },
    "node_1902": {
      "node_id": "node_1902",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 193.89 kg\n  Factor of Safety: 0.62\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": 193.88586928349014,
      "fos_buckling": 0.6160685371272424,
      "fos_yielding": 2.946835551870243,
      "deflection": 0.012275085311879994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_1901",
      "improvement_over_parent": null
    },
    "node_1903": {
      "node_id": "node_1903",
      "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 195.24 kg\n  Factor of Safety: 0.62\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": 195.23638393972186,
      "fos_buckling": 0.6160685371272426,
      "fos_yielding": 4.262799177978606,
      "deflection": 0.011901176480127123,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.490)"
      },
      "parent_node_id": "node_1902",
      "improvement_over_parent": null
    },
    "node_1904": {
      "node_id": "node_1904",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63000357984015,
      "fos_buckling": 1.5259600281095895,
      "fos_yielding": 4.604211735856638,
      "deflection": 0.00696898444759186,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1903",
      "improvement_over_parent": null
    },
    "node_1905": {
      "node_id": "node_1905",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1904",
      "improvement_over_parent": null
    },
    "node_1906": {
      "node_id": "node_1906",
      "content": "INITIAL DESIGN (Trace 275)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 112.41 kg\n  Factor of Safety: 0.10\n  Max Deflection: 1.00e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 112.41335855503024,
      "fos_buckling": 0.0971231315121528,
      "fos_yielding": 1.2130868796295318,
      "deflection": 100164436666823.89,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1907": {
      "node_id": "node_1907",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 143.17 kg\n  Factor of Safety: 0.25\n  Max Deflection: 3.21e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.1734534562161,
      "fos_buckling": 0.25109241347380534,
      "fos_yielding": 3.4138106606864844,
      "deflection": 32051687950854.457,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_1906",
      "improvement_over_parent": null
    },
    "node_1908": {
      "node_id": "node_1908",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n\nPerformance:\n  Mass: 145.17 kg\n  Factor of Safety: 0.53\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": 145.1695806264758,
      "fos_buckling": 0.5338674561254377,
      "fos_yielding": 3.5737870631429667,
      "deflection": 0.015982403548083085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003120)"
      },
      "parent_node_id": "node_1907",
      "improvement_over_parent": null
    },
    "node_1909": {
      "node_id": "node_1909",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 173.46 kg\n  Factor of Safety: 0.62\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": 173.45843395194768,
      "fos_buckling": 0.6174812741677066,
      "fos_yielding": 4.262348068372644,
      "deflection": 0.013420067486606553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_1908",
      "improvement_over_parent": null
    },
    "node_1910": {
      "node_id": "node_1910",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n\nPerformance:\n  Mass: 189.30 kg\n  Factor of Safety: 0.62\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": 189.2975923480382,
      "fos_buckling": 0.6161990227283448,
      "fos_yielding": 4.259535055145137,
      "deflection": 0.012032439299258159,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004859)"
      },
      "parent_node_id": "node_1909",
      "improvement_over_parent": null
    },
    "node_1911": {
      "node_id": "node_1911",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 221.69 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.69121198815648,
      "fos_buckling": 1.4384501094124216,
      "fos_yielding": 4.6445241649551186,
      "deflection": 0.007119273381269422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1910",
      "improvement_over_parent": null
    },
    "node_1912": {
      "node_id": "node_1912",
      "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0072)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 223.23 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.22759652959493,
      "fos_buckling": 1.4405651416007064,
      "fos_yielding": 4.645173336048262,
      "deflection": 0.007049011558752332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.403)"
      },
      "parent_node_id": "node_1911",
      "improvement_over_parent": null
    },
    "node_1913": {
      "node_id": "node_1913",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1912",
      "improvement_over_parent": null
    },
    "node_1914": {
      "node_id": "node_1914",
      "content": "INITIAL DESIGN (Trace 276)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 128.28 kg\n  Factor of Safety: 0.69\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": 128.27500946927995,
      "fos_buckling": 0.6948529683918581,
      "fos_yielding": 4.082519654252285,
      "deflection": 0.015896307635496706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1915": {
      "node_id": "node_1915",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n  Mass: 145.46 kg\n  Factor of Safety: 0.69\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": 145.45573859385672,
      "fos_buckling": 0.6932789610286098,
      "fos_yielding": 3.651843766428306,
      "deflection": 0.013556964019696392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005301)"
      },
      "parent_node_id": "node_1914",
      "improvement_over_parent": null
    },
    "node_1916": {
      "node_id": "node_1916",
      "content": "MODIFICATION: Increase 0 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n  Mass: 153.34 kg\n  Factor of Safety: 0.69\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": 153.33660329260454,
      "fos_buckling": 0.6925593412113297,
      "fos_yielding": 3.6512687571407443,
      "deflection": 0.011791019392898191,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.592)"
      },
      "parent_node_id": "node_1915",
      "improvement_over_parent": null
    },
    "node_1917": {
      "node_id": "node_1917",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n\nPerformance:\n  Mass: 170.86 kg\n  Factor of Safety: 1.06\n  Max Deflection: 9.35e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.8603215131577,
      "fos_buckling": 1.058296589537895,
      "fos_yielding": 3.6707234724339126,
      "deflection": 0.009347602590893622,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005354)"
      },
      "parent_node_id": "node_1916",
      "improvement_over_parent": null
    },
    "node_1918": {
      "node_id": "node_1918",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 215.44 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.43655960256797,
      "fos_buckling": 1.2922856437927355,
      "fos_yielding": 4.616231460492212,
      "deflection": 0.007446771065670998,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_1917",
      "improvement_over_parent": null
    },
    "node_1919": {
      "node_id": "node_1919",
      "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0086)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 220.24 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.37e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.23712611232173,
      "fos_buckling": 1.2901727331322888,
      "fos_yielding": 4.592792715121574,
      "deflection": 0.007372449009635666,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.215)"
      },
      "parent_node_id": "node_1918",
      "improvement_over_parent": null
    },
    "node_1920": {
      "node_id": "node_1920",
      "content": "MODIFICATION: Increase 8 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0086)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0109)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 229.88 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.8784057310521,
      "fos_buckling": 1.2918979257965715,
      "fos_yielding": 4.6399855402029075,
      "deflection": 0.007119421283924042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.335)"
      },
      "parent_node_id": "node_1919",
      "improvement_over_parent": null
    },
    "node_1921": {
      "node_id": "node_1921",
      "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0100)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0086)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0109)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 241.81 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.68e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 241.80853540799495,
      "fos_buckling": 1.5216556324961281,
      "fos_yielding": 4.635134155942983,
      "deflection": 0.006682282777633517,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.495)"
      },
      "parent_node_id": "node_1920",
      "improvement_over_parent": null
    },
    "node_1922": {
      "node_id": "node_1922",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 277)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0035)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 142.18 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.1770358022344,
      "fos_buckling": 0.8434832154290283,
      "fos_yielding": 3.0158259802801086,
      "deflection": 0.011227461410319132,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1924": {
      "node_id": "node_1924",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 182.50 kg\n  Factor of Safety: 1.06\n  Max Deflection: 8.78e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.5034253198117,
      "fos_buckling": 1.058070529210894,
      "fos_yielding": 3.8635170481063885,
      "deflection": 0.008782916877826978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_1923",
      "improvement_over_parent": null
    },
    "node_1925": {
      "node_id": "node_1925",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 217.85 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.38e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.854657602714,
      "fos_buckling": 1.2372654446168274,
      "fos_yielding": 4.603688208008654,
      "deflection": 0.007384219453108849,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_1924",
      "improvement_over_parent": null
    },
    "node_1926": {
      "node_id": "node_1926",
      "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.45 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.45249478111745,
      "fos_buckling": 1.524929239714845,
      "fos_yielding": 4.600219779590733,
      "deflection": 0.006974282995571717,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.462)"
      },
      "parent_node_id": "node_1925",
      "improvement_over_parent": null
    },
    "node_1927": {
      "node_id": "node_1927",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1926",
      "improvement_over_parent": null
    },
    "node_1928": {
      "node_id": "node_1928",
      "content": "INITIAL DESIGN (Trace 278)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 147.20 kg\n  Factor of Safety: 0.83\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": 147.2047201080702,
      "fos_buckling": 0.83301226997116,
      "fos_yielding": 4.200363599731565,
      "deflection": 0.013064401500325775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1929": {
      "node_id": "node_1929",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n\nPerformance:\n  Mass: 164.89 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.8850221607548,
      "fos_buckling": 0.8310755031587979,
      "fos_yielding": 3.749596806626461,
      "deflection": 0.010754513399363539,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005467)"
      },
      "parent_node_id": "node_1928",
      "improvement_over_parent": null
    },
    "node_1930": {
      "node_id": "node_1930",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n  Mass: 185.79 kg\n  Factor of Safety: 1.29\n  Max Deflection: 8.50e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.79190365986264,
      "fos_buckling": 1.2928109090052309,
      "fos_yielding": 3.7632533265701036,
      "deflection": 0.008498308473303436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005769)"
      },
      "parent_node_id": "node_1929",
      "improvement_over_parent": null
    },
    "node_1931": {
      "node_id": "node_1931",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5853979925455,
      "fos_buckling": 1.5257467570289316,
      "fos_yielding": 4.603270381502994,
      "deflection": 0.006970370269045182,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_1930",
      "improvement_over_parent": null
    },
    "node_1932": {
      "node_id": "node_1932",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1931",
      "improvement_over_parent": null
    },
    "node_1933": {
      "node_id": "node_1933",
      "content": "INITIAL DESIGN (Trace 279)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 119.84 kg\n  Factor of Safety: 0.64\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": 119.83565620773456,
      "fos_buckling": 0.6397058951263284,
      "fos_yielding": 3.0797700757568984,
      "deflection": 0.0174757789905481,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1934": {
      "node_id": "node_1934",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n\nPerformance:\n  Mass: 121.27 kg\n  Factor of Safety: 0.64\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": 121.2712938337085,
      "fos_buckling": 0.639463008764834,
      "fos_yielding": 2.7699975422245533,
      "deflection": 0.014502144154403951,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002196)"
      },
      "parent_node_id": "node_1933",
      "improvement_over_parent": null
    },
    "node_1935": {
      "node_id": "node_1935",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n\nPerformance:\n  Mass: 136.83 kg\n  Factor of Safety: 0.71\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": 136.83053696342944,
      "fos_buckling": 0.710637284294487,
      "fos_yielding": 3.123201662881755,
      "deflection": 0.012878968101266307,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_1934",
      "improvement_over_parent": null
    },
    "node_1936": {
      "node_id": "node_1936",
      "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n\nPerformance:\n  Mass: 140.00 kg\n  Factor of Safety: 0.71\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": 140.00465638080308,
      "fos_buckling": 0.710339723503418,
      "fos_yielding": 3.107193250941387,
      "deflection": 0.012756651285851878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.200)"
      },
      "parent_node_id": "node_1935",
      "improvement_over_parent": null
    },
    "node_1937": {
      "node_id": "node_1937",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0067)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n  Mass: 164.10 kg\n  Factor of Safety: 0.81\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": 164.10025613308557,
      "fos_buckling": 0.8136012941285504,
      "fos_yielding": 3.639315041623854,
      "deflection": 0.010915078944292403,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_1936",
      "improvement_over_parent": null
    },
    "node_1938": {
      "node_id": "node_1938",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0085)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 205.90 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.74e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.90399349486916,
      "fos_buckling": 0.9798493233997798,
      "fos_yielding": 4.560798179609,
      "deflection": 0.008742665123842423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1937",
      "improvement_over_parent": null
    },
    "node_1939": {
      "node_id": "node_1939",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0085)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 228.00 kg\n  Factor of Safety: 1.49\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.99514162352946,
      "fos_buckling": 1.485610342834825,
      "fos_yielding": 4.577407198634467,
      "deflection": 0.006985494221024872,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1938",
      "improvement_over_parent": null
    },
    "node_1940": {
      "node_id": "node_1940",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1939",
      "improvement_over_parent": null
    },
    "node_1941": {
      "node_id": "node_1941",
      "content": "INITIAL DESIGN (Trace 280)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 163.69 kg\n  Factor of Safety: 1.19\n  Max Deflection: 9.75e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.6938978656708,
      "fos_buckling": 1.191590131406783,
      "fos_yielding": 3.428371934251256,
      "deflection": 0.009748338391743445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1942": {
      "node_id": "node_1942",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 186.93 kg\n  Factor of Safety: 1.33\n  Max Deflection: 8.56e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.93289218624602,
      "fos_buckling": 1.332284901611681,
      "fos_yielding": 3.9109071894868594,
      "deflection": 0.00855731584948197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_1941",
      "improvement_over_parent": null
    },
    "node_1943": {
      "node_id": "node_1943",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 220.72 kg\n  Factor of Safety: 1.52\n  Max Deflection: 7.27e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 220.7169694490518,
      "fos_buckling": 1.524537505367175,
      "fos_yielding": 4.610471222159639,
      "deflection": 0.00727308525468621,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_1942",
      "improvement_over_parent": null
    },
    "node_1944": {
      "node_id": "node_1944",
      "content": "MODIFICATION: Increase 0 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.83 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.8252034150567,
      "fos_buckling": 1.5269310667263998,
      "fos_yielding": 4.607764919224282,
      "deflection": 0.0069631401964021155,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.374)"
      },
      "parent_node_id": "node_1943",
      "improvement_over_parent": null
    },
    "node_1945": {
      "node_id": "node_1945",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1944",
      "improvement_over_parent": null
    },
    "node_1946": {
      "node_id": "node_1946",
      "content": "INITIAL DESIGN (Trace 281)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 194.58 kg\n  Factor of Safety: 0.81\n  Max Deflection: 9.59e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.57521870460633,
      "fos_buckling": 0.8147755718740397,
      "fos_yielding": 3.693125323796215,
      "deflection": 0.009587771216786485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1947": {
      "node_id": "node_1947",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 220.19 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.29e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.19174761390093,
      "fos_buckling": 1.3386206517524533,
      "fos_yielding": 3.7077019822999997,
      "deflection": 0.0072938870804944034,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1946",
      "improvement_over_parent": null
    },
    "node_1948": {
      "node_id": "node_1948",
      "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 221.19 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.22e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.19019310351138,
      "fos_buckling": 1.3374632038147403,
      "fos_yielding": 4.605560727118131,
      "deflection": 0.007218676243943345,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.272)"
      },
      "parent_node_id": "node_1947",
      "improvement_over_parent": null
    },
    "node_1949": {
      "node_id": "node_1949",
      "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.62031249726857,
      "fos_buckling": 1.5259531650604745,
      "fos_yielding": 4.603403653449365,
      "deflection": 0.0069693891375472794,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.272)"
      },
      "parent_node_id": "node_1948",
      "improvement_over_parent": null
    },
    "node_1950": {
      "node_id": "node_1950",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1949",
      "improvement_over_parent": null
    },
    "node_1951": {
      "node_id": "node_1951",
      "content": "INITIAL DESIGN (Trace 282)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n\nPerformance:\n  Mass: 118.05 kg\n  Factor of Safety: 0.68\n  Max Deflection: 3.70e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.04844707379567,
      "fos_buckling": 0.6806391869629195,
      "fos_yielding": 3.6595499768390547,
      "deflection": 36978588269341.57,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1952": {
      "node_id": "node_1952",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n\nPerformance:\n  Mass: 136.71 kg\n  Factor of Safety: 1.56\n  Max Deflection: 9.11e+12 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 136.7112193580721,
      "fos_buckling": 1.5644552024313974,
      "fos_yielding": 4.236063967463964,
      "deflection": 9112080704769.42,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_1951",
      "improvement_over_parent": null
    },
    "node_1953": {
      "node_id": "node_1953",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 157.38 kg\n  Factor of Safety: 0.51\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": 157.3824948780019,
      "fos_buckling": 0.505469685320869,
      "fos_yielding": 3.175190164814547,
      "deflection": 0.014718962689311988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005764)"
      },
      "parent_node_id": "node_1952",
      "improvement_over_parent": null
    },
    "node_1954": {
      "node_id": "node_1954",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 191.27 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.2673815950896,
      "fos_buckling": 0.5925771163812082,
      "fos_yielding": 3.8511542485731645,
      "deflection": 0.012159639127061726,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1953",
      "improvement_over_parent": null
    },
    "node_1955": {
      "node_id": "node_1955",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 224.04 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.0449763379751,
      "fos_buckling": 1.4925238595452557,
      "fos_yielding": 4.602861694604219,
      "deflection": 0.007046886913997419,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_1954",
      "improvement_over_parent": null
    },
    "node_1956": {
      "node_id": "node_1956",
      "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5798186180923,
      "fos_buckling": 1.5259416660132028,
      "fos_yielding": 4.603352631533151,
      "deflection": 0.0069703657706596716,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.176)"
      },
      "parent_node_id": "node_1955",
      "improvement_over_parent": null
    },
    "node_1957": {
      "node_id": "node_1957",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1956",
      "improvement_over_parent": null
    },
    "node_1958": {
      "node_id": "node_1958",
      "content": "INITIAL DESIGN (Trace 283)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 162.70 kg\n  Factor of Safety: 0.53\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": 162.69941167397047,
      "fos_buckling": 0.5325267284040393,
      "fos_yielding": 3.0250414365667857,
      "deflection": 0.014362119218513512,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1959": {
      "node_id": "node_1959",
      "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 163.26 kg\n  Factor of Safety: 0.53\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": 163.25943313997502,
      "fos_buckling": 0.5325267284040391,
      "fos_yielding": 3.571822625098102,
      "deflection": 0.01418149958158885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.195)"
      },
      "parent_node_id": "node_1958",
      "improvement_over_parent": null
    },
    "node_1960": {
      "node_id": "node_1960",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 195.22 kg\n  Factor of Safety: 0.62\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": 195.2200690076955,
      "fos_buckling": 0.6160225536627856,
      "fos_yielding": 4.262520244484423,
      "deflection": 0.011902180488158623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_1959",
      "improvement_over_parent": null
    },
    "node_1961": {
      "node_id": "node_1961",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6136886478138,
      "fos_buckling": 1.5258653664820336,
      "fos_yielding": 4.603771605655408,
      "deflection": 0.00696946877887272,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1960",
      "improvement_over_parent": null
    },
    "node_1962": {
      "node_id": "node_1962",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1961",
      "improvement_over_parent": null
    },
    "node_1963": {
      "node_id": "node_1963",
      "content": "INITIAL DESIGN (Trace 284)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 155.42 kg\n  Factor of Safety: 0.60\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": 155.42241273190172,
      "fos_buckling": 0.5955185641243076,
      "fos_yielding": 3.8564990116332947,
      "deflection": 0.013842082229228432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1964": {
      "node_id": "node_1964",
      "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 160.11 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.1137342567668,
      "fos_buckling": 0.5951508505598235,
      "fos_yielding": 3.8559061859363077,
      "deflection": 0.013849394455017061,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.309)"
      },
      "parent_node_id": "node_1963",
      "improvement_over_parent": null
    },
    "node_1965": {
      "node_id": "node_1965",
      "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 167.48 kg\n  Factor of Safety: 0.59\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": 167.48272338877405,
      "fos_buckling": 0.5945741729310164,
      "fos_yielding": 3.8549753607627966,
      "deflection": 0.013860880283068174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.387)"
      },
      "parent_node_id": "node_1964",
      "improvement_over_parent": null
    },
    "node_1966": {
      "node_id": "node_1966",
      "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 172.14 kg\n  Factor of Safety: 0.59\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": 172.1423885200141,
      "fos_buckling": 0.5942100962502364,
      "fos_yielding": 3.854386999908506,
      "deflection": 0.01386814316696098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.244)"
      },
      "parent_node_id": "node_1965",
      "improvement_over_parent": null
    },
    "node_1967": {
      "node_id": "node_1967",
      "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 172.78 kg\n  Factor of Safety: 0.59\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": 172.78308998341714,
      "fos_buckling": 0.5941100537057735,
      "fos_yielding": 3.854225232786825,
      "deflection": 0.013696598553408318,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.403)"
      },
      "parent_node_id": "node_1966",
      "improvement_over_parent": null
    },
    "node_1968": {
      "node_id": "node_1968",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.56 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.56068472630264,
      "fos_buckling": 0.9804848011063992,
      "fos_yielding": 4.587223443676552,
      "deflection": 0.00881977398593861,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_1967",
      "improvement_over_parent": null
    },
    "node_1969": {
      "node_id": "node_1969",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.65183285496295,
      "fos_buckling": 1.5259445934768323,
      "fos_yielding": 4.604220749832808,
      "deflection": 0.006968510603084817,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1968",
      "improvement_over_parent": null
    },
    "node_1970": {
      "node_id": "node_1970",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1969",
      "improvement_over_parent": null
    },
    "node_1971": {
      "node_id": "node_1971",
      "content": "INITIAL DESIGN (Trace 285)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 130.42 kg\n  Factor of Safety: 0.55\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": 130.4199603903962,
      "fos_buckling": 0.552889591098079,
      "fos_yielding": 3.719806577474454,
      "deflection": 0.019528060571628293,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1972": {
      "node_id": "node_1972",
      "content": "MODIFICATION: Increase 1 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 139.44 kg\n  Factor of Safety: 0.55\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": 139.4370596781023,
      "fos_buckling": 0.552231753425366,
      "fos_yielding": 3.7184043507063924,
      "deflection": 0.01787042959030191,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.626)"
      },
      "parent_node_id": "node_1971",
      "improvement_over_parent": null
    },
    "node_1973": {
      "node_id": "node_1973",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 160.59 kg\n  Factor of Safety: 0.62\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": 160.5897617969203,
      "fos_buckling": 0.6193016965348271,
      "fos_yielding": 4.274575090915152,
      "deflection": 0.015533105929012712,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_1972",
      "improvement_over_parent": null
    },
    "node_1974": {
      "node_id": "node_1974",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 192.98 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.98e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.9833814370386,
      "fos_buckling": 1.0061446555374831,
      "fos_yielding": 5.149616235502758,
      "deflection": 0.008980800278672292,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_1973",
      "improvement_over_parent": null
    },
    "node_1975": {
      "node_id": "node_1975",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 218.10 kg\n  Factor of Safety: 1.42\n  Max Deflection: 7.22e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.10267641453953,
      "fos_buckling": 1.4155501544235938,
      "fos_yielding": 4.60639537968785,
      "deflection": 0.007224881318251317,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_1974",
      "improvement_over_parent": null
    },
    "node_1976": {
      "node_id": "node_1976",
      "content": "MODIFICATION: Increase 8 thickness by 67%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0136)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 236.66 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.81e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.66406915249013,
      "fos_buckling": 1.4159356420453426,
      "fos_yielding": 4.682312227623341,
      "deflection": 0.00680898649935545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.667)"
      },
      "parent_node_id": "node_1975",
      "improvement_over_parent": null
    },
    "node_1977": {
      "node_id": "node_1977",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1976",
      "improvement_over_parent": null
    },
    "node_1978": {
      "node_id": "node_1978",
      "content": "INITIAL DESIGN (Trace 286)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0030)]\n\nPerformance:\n  Mass: 113.22 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.12e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.21662056120098,
      "fos_buckling": 0.4482515563484491,
      "fos_yielding": 3.1594581498804133,
      "deflection": 0.02116400706601959,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1979": {
      "node_id": "node_1979",
      "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 120.64 kg\n  Factor of Safety: 0.65\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": 120.63647603502187,
      "fos_buckling": 0.654487128451914,
      "fos_yielding": 3.1594581498804137,
      "deflection": 0.018642849924106298,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.610)"
      },
      "parent_node_id": "node_1978",
      "improvement_over_parent": null
    },
    "node_1980": {
      "node_id": "node_1980",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 152.67 kg\n  Factor of Safety: 0.80\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": 152.67070084913018,
      "fos_buckling": 0.8018061325359204,
      "fos_yielding": 3.9879747647894264,
      "deflection": 0.014748246187878171,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_1979",
      "improvement_over_parent": null
    },
    "node_1981": {
      "node_id": "node_1981",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n  Mass: 169.94 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.9351826103759,
      "fos_buckling": 0.791522949902862,
      "fos_yielding": 4.061621198483931,
      "deflection": 0.014708742279296144,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005269)"
      },
      "parent_node_id": "node_1980",
      "improvement_over_parent": null
    },
    "node_1982": {
      "node_id": "node_1982",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n  Mass: 171.80 kg\n  Factor of Safety: 1.24\n  Max Deflection: 9.31e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.79900238926348,
      "fos_buckling": 1.23965477511879,
      "fos_yielding": 3.6053135463954087,
      "deflection": 0.009312373462875381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002898)"
      },
      "parent_node_id": "node_1981",
      "improvement_over_parent": null
    },
    "node_1983": {
      "node_id": "node_1983",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n\nPerformance:\n  Mass: 192.94 kg\n  Factor of Safety: 1.37\n  Max Deflection: 8.31e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.93504235212114,
      "fos_buckling": 1.3658402370535587,
      "fos_yielding": 4.044875703679973,
      "deflection": 0.008310425113515754,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_1982",
      "improvement_over_parent": null
    },
    "node_1984": {
      "node_id": "node_1984",
      "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n\nPerformance:\n  Mass: 199.66 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.92e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.66417429471744,
      "fos_buckling": 1.3722976327671466,
      "fos_yielding": 4.042341446755991,
      "deflection": 0.007920285941933785,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.410)"
      },
      "parent_node_id": "node_1983",
      "improvement_over_parent": null
    },
    "node_1985": {
      "node_id": "node_1985",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.83 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.82971082029312,
      "fos_buckling": 1.5269059847138353,
      "fos_yielding": 4.608176641603775,
      "deflection": 0.006963137708597169,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_1984",
      "improvement_over_parent": null
    },
    "node_1986": {
      "node_id": "node_1986",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 287)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1988": {
      "node_id": "node_1988",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n  Mass: 175.32 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.3224041017073,
      "fos_buckling": 0.9046592455695323,
      "fos_yielding": 3.3564121370610014,
      "deflection": 0.010376792152294787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006439)"
      },
      "parent_node_id": "node_1987",
      "improvement_over_parent": null
    },
    "node_1989": {
      "node_id": "node_1989",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 194.07 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.39e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.06859525936966,
      "fos_buckling": 0.9815768331530845,
      "fos_yielding": 3.7187802716702505,
      "deflection": 0.009393374597106369,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_1988",
      "improvement_over_parent": null
    },
    "node_1990": {
      "node_id": "node_1990",
      "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 204.24 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.90e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.23917824341544,
      "fos_buckling": 0.980270640603165,
      "fos_yielding": 3.7897098105383207,
      "deflection": 0.00890103519723852,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.616)"
      },
      "parent_node_id": "node_1989",
      "improvement_over_parent": null
    },
    "node_1991": {
      "node_id": "node_1991",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 226.33 kg\n  Factor of Safety: 1.41\n  Max Deflection: 7.08e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.33032637207575,
      "fos_buckling": 1.4058213737280376,
      "fos_yielding": 3.806163038582182,
      "deflection": 0.007080166534659525,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_1990",
      "improvement_over_parent": null
    },
    "node_1992": {
      "node_id": "node_1992",
      "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0100)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 233.11 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.89e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.1140919521978,
      "fos_buckling": 1.4052115382454375,
      "fos_yielding": 3.8045119516682497,
      "deflection": 0.006887913689481652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.236)"
      },
      "parent_node_id": "node_1991",
      "improvement_over_parent": null
    },
    "node_1993": {
      "node_id": "node_1993",
      "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0053)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0100)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 233.84 kg\n  Factor of Safety: 1.51\n  Max Deflection: 6.83e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 233.83985941953338,
      "fos_buckling": 1.512321834126363,
      "fos_yielding": 4.457499175478534,
      "deflection": 0.006833243729291949,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.192)"
      },
      "parent_node_id": "node_1992",
      "improvement_over_parent": null
    },
    "node_1994": {
      "node_id": "node_1994",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1993",
      "improvement_over_parent": null
    },
    "node_1995": {
      "node_id": "node_1995",
      "content": "INITIAL DESIGN (Trace 288)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 140.94 kg\n  Factor of Safety: 0.73\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": 140.9394585257653,
      "fos_buckling": 0.7272934448329494,
      "fos_yielding": 3.207873028412451,
      "deflection": 0.012545173606554017,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1996": {
      "node_id": "node_1996",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 175.33 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.33191689575258,
      "fos_buckling": 0.8745992849055582,
      "fos_yielding": 3.985683674339296,
      "deflection": 0.010126489431936852,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_1995",
      "improvement_over_parent": null
    },
    "node_1997": {
      "node_id": "node_1997",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 201.99 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.98513539044157,
      "fos_buckling": 0.9808243382066317,
      "fos_yielding": 4.587130818279615,
      "deflection": 0.0088185766285557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_1996",
      "improvement_over_parent": null
    },
    "node_1998": {
      "node_id": "node_1998",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.60166429973617,
      "fos_buckling": 1.5257979709706753,
      "fos_yielding": 4.603521895835665,
      "deflection": 0.006969928565467962,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_1997",
      "improvement_over_parent": null
    },
    "node_1999": {
      "node_id": "node_1999",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1998",
      "improvement_over_parent": null
    },
    "node_2000": {
      "node_id": "node_2000",
      "content": "INITIAL DESIGN (Trace 289)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 114.29 kg\n  Factor of Safety: 0.66\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": 114.28911273368021,
      "fos_buckling": 0.661436686935344,
      "fos_yielding": 2.6504834058376843,
      "deflection": 0.017003774678231384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2001": {
      "node_id": "node_2001",
      "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 114.84 kg\n  Factor of Safety: 0.66\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": 114.84109805766138,
      "fos_buckling": 0.661436686935344,
      "fos_yielding": 3.2154526040074383,
      "deflection": 0.017003774678231384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.225)"
      },
      "parent_node_id": "node_2000",
      "improvement_over_parent": null
    },
    "node_2002": {
      "node_id": "node_2002",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n\nPerformance:\n  Mass: 128.37 kg\n  Factor of Safety: 0.66\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": 128.36908674944897,
      "fos_buckling": 0.6602545410474296,
      "fos_yielding": 2.8727446202820923,
      "deflection": 0.013991522933096426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004110)"
      },
      "parent_node_id": "node_2001",
      "improvement_over_parent": null
    },
    "node_2003": {
      "node_id": "node_2003",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n\nPerformance:\n  Mass: 157.63 kg\n  Factor of Safety: 0.79\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": 157.63038419888508,
      "fos_buckling": 0.7883199902651024,
      "fos_yielding": 3.523828277217741,
      "deflection": 0.011434595759092817,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_2002",
      "improvement_over_parent": null
    },
    "node_2004": {
      "node_id": "node_2004",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n\nPerformance:\n  Mass: 174.57 kg\n  Factor of Safety: 1.23\n  Max Deflection: 9.03e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.56766284468858,
      "fos_buckling": 1.2267103449336967,
      "fos_yielding": 3.537084298475768,
      "deflection": 0.009033241605542898,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005162)"
      },
      "parent_node_id": "node_2003",
      "improvement_over_parent": null
    },
    "node_2005": {
      "node_id": "node_2005",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n  Mass: 199.86 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.91e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.86127737454953,
      "fos_buckling": 1.3735553963699512,
      "fos_yielding": 4.046116017286769,
      "deflection": 0.007912554274256862,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_2004",
      "improvement_over_parent": null
    },
    "node_2006": {
      "node_id": "node_2006",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.51288608812618,
      "fos_buckling": 1.5253687999792411,
      "fos_yielding": 4.601606062239239,
      "deflection": 0.006972502534609091,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_2005",
      "improvement_over_parent": null
    },
    "node_2007": {
      "node_id": "node_2007",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2006",
      "improvement_over_parent": null
    },
    "node_2008": {
      "node_id": "node_2008",
      "content": "INITIAL DESIGN (Trace 290)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 124.35 kg\n  Factor of Safety: 0.59\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": 124.3473739676779,
      "fos_buckling": 0.5948070431016539,
      "fos_yielding": 3.071436787845029,
      "deflection": 0.014276434167797048,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2009": {
      "node_id": "node_2009",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 154.32 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.31566231790435,
      "fos_buckling": 0.7198802266403023,
      "fos_yielding": 3.8025108986315614,
      "deflection": 0.011544238215187838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_2008",
      "improvement_over_parent": null
    },
    "node_2010": {
      "node_id": "node_2010",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n  Mass: 172.82 kg\n  Factor of Safety: 1.09\n  Max Deflection: 9.22e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.82493483392523,
      "fos_buckling": 1.0920991862328238,
      "fos_yielding": 3.814802986003672,
      "deflection": 0.009220410809153244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005679)"
      },
      "parent_node_id": "node_2009",
      "improvement_over_parent": null
    },
    "node_2011": {
      "node_id": "node_2011",
      "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0090)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n  Mass: 182.66 kg\n  Factor of Safety: 1.09\n  Max Deflection: 8.98e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.66348223724808,
      "fos_buckling": 1.0890390556095542,
      "fos_yielding": 3.7721306438352316,
      "deflection": 0.008978842997520211,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.527)"
      },
      "parent_node_id": "node_2010",
      "improvement_over_parent": null
    },
    "node_2012": {
      "node_id": "node_2012",
      "content": "MODIFICATION: Increase 1 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0090)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n  Mass: 188.74 kg\n  Factor of Safety: 1.09\n  Max Deflection: 8.64e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.7407347203323,
      "fos_buckling": 1.090569414762401,
      "fos_yielding": 3.819517840858446,
      "deflection": 0.0086422812219079,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.372)"
      },
      "parent_node_id": "node_2011",
      "improvement_over_parent": null
    },
    "node_2013": {
      "node_id": "node_2013",
      "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0090)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n  Mass: 191.85 kg\n  Factor of Safety: 1.13\n  Max Deflection: 8.49e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.85150878843496,
      "fos_buckling": 1.128833725489425,
      "fos_yielding": 3.8203297634085804,
      "deflection": 0.008490383196078467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.229)"
      },
      "parent_node_id": "node_2012",
      "improvement_over_parent": null
    },
    "node_2014": {
      "node_id": "node_2014",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0109)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 228.69 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.14e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.69438609884955,
      "fos_buckling": 1.3138874618252974,
      "fos_yielding": 4.552393220748375,
      "deflection": 0.0071436071341164685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_2013",
      "improvement_over_parent": null
    },
    "node_2015": {
      "node_id": "node_2015",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2014",
      "improvement_over_parent": null
    },
    "node_2016": {
      "node_id": "node_2016",
      "content": "INITIAL DESIGN (Trace 291)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 168.25 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.25234503916755,
      "fos_buckling": 0.897554479473527,
      "fos_yielding": 3.2647062422680424,
      "deflection": 0.010006788593494995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2017": {
      "node_id": "node_2017",
      "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 171.43 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.92e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.43101481735297,
      "fos_buckling": 0.897179639869911,
      "fos_yielding": 3.2491474714912636,
      "deflection": 0.00992192594608353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.179)"
      },
      "parent_node_id": "node_2016",
      "improvement_over_parent": null
    },
    "node_2018": {
      "node_id": "node_2018",
      "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 174.00 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.93e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.00494017136486,
      "fos_buckling": 0.8968763431209863,
      "fos_yielding": 3.2490137266575023,
      "deflection": 0.009925146623388012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.236)"
      },
      "parent_node_id": "node_2017",
      "improvement_over_parent": null
    },
    "node_2019": {
      "node_id": "node_2019",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n  Mass: 196.91 kg\n  Factor of Safety: 1.23\n  Max Deflection: 8.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.90774573631467,
      "fos_buckling": 1.2288079066074724,
      "fos_yielding": 3.259557038918564,
      "deflection": 0.008051398370040345,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006367)"
      },
      "parent_node_id": "node_2018",
      "improvement_over_parent": null
    },
    "node_2020": {
      "node_id": "node_2020",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 220.27 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.22e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.26582548361753,
      "fos_buckling": 1.356365750077237,
      "fos_yielding": 3.6512247585878987,
      "deflection": 0.007215808992468731,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_2019",
      "improvement_over_parent": null
    },
    "node_2021": {
      "node_id": "node_2021",
      "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 221.32 kg\n  Factor of Safety: 1.41\n  Max Deflection: 7.13e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.3219412361581,
      "fos_buckling": 1.411379245363104,
      "fos_yielding": 4.600256740414771,
      "deflection": 0.0071344769386356335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.292)"
      },
      "parent_node_id": "node_2020",
      "improvement_over_parent": null
    },
    "node_2022": {
      "node_id": "node_2022",
      "content": "MODIFICATION: Increase 2 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5943504383695,
      "fos_buckling": 1.5256844361509574,
      "fos_yielding": 4.601499485591236,
      "deflection": 0.006970158040550432,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.435)"
      },
      "parent_node_id": "node_2021",
      "improvement_over_parent": null
    },
    "node_2023": {
      "node_id": "node_2023",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2022",
      "improvement_over_parent": null
    },
    "node_2024": {
      "node_id": "node_2024",
      "content": "INITIAL DESIGN (Trace 292)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 148.13 kg\n  Factor of Safety: 0.49\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": 148.1296260120497,
      "fos_buckling": 0.48733848478159775,
      "fos_yielding": 3.0401729030866456,
      "deflection": 0.015479893874766183,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2025": {
      "node_id": "node_2025",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 188.05 kg\n  Factor of Safety: 0.59\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": 188.04569730185037,
      "fos_buckling": 0.5925777499000209,
      "fos_yielding": 3.8495902427599247,
      "deflection": 0.01225187804448006,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_2024",
      "improvement_over_parent": null
    },
    "node_2026": {
      "node_id": "node_2026",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 220.82 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.15e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.82329204473587,
      "fos_buckling": 1.3904456393683209,
      "fos_yielding": 4.599758239698813,
      "deflection": 0.007151216715179825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_2025",
      "improvement_over_parent": null
    },
    "node_2027": {
      "node_id": "node_2027",
      "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.49423814237045,
      "fos_buckling": 1.525775237355716,
      "fos_yielding": 4.601113549462879,
      "deflection": 0.006973017503778296,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.475)"
      },
      "parent_node_id": "node_2026",
      "improvement_over_parent": null
    },
    "node_2028": {
      "node_id": "node_2028",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2027",
      "improvement_over_parent": null
    },
    "node_2029": {
      "node_id": "node_2029",
      "content": "INITIAL DESIGN (Trace 293)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n  Mass: 115.05 kg\n  Factor of Safety: 1.28\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": 115.0547637150637,
      "fos_buckling": 1.2838167212445701,
      "fos_yielding": 3.3777049809751607,
      "deflection": 17408006054396.023,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2030": {
      "node_id": "node_2030",
      "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n  Mass: 122.32 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.35e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.31715274281639,
      "fos_buckling": 0.6867844295500186,
      "fos_yielding": 3.3777049809751607,
      "deflection": 13549741695407.277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.513)"
      },
      "parent_node_id": "node_2029",
      "improvement_over_parent": null
    },
    "node_2031": {
      "node_id": "node_2031",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 154.24 kg\n  Factor of Safety: 0.37\n  Max Deflection: 5.92e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.2364347883915,
      "fos_buckling": 0.3658486325613064,
      "fos_yielding": 2.934270767992719,
      "deflection": 59249303839561.414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_2030",
      "improvement_over_parent": null
    },
    "node_2032": {
      "node_id": "node_2032",
      "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 159.89 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.08e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.88556086953184,
      "fos_buckling": 0.6202457179826899,
      "fos_yielding": 3.6548753404219045,
      "deflection": 10846930767802.156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.451)"
      },
      "parent_node_id": "node_2031",
      "improvement_over_parent": null
    },
    "node_2033": {
      "node_id": "node_2033",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 185.00 kg\n  Factor of Safety: 0.59\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": 185.0048558470328,
      "fos_buckling": 0.5930379506833172,
      "fos_yielding": 3.1965411753957023,
      "deflection": 0.012732779307320401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2032",
      "improvement_over_parent": null
    },
    "node_2034": {
      "node_id": "node_2034",
      "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 193.98 kg\n  Factor of Safety: 0.59\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": 193.98183173869464,
      "fos_buckling": 0.5923404978428172,
      "fos_yielding": 3.195601948846134,
      "deflection": 0.012284114038304674,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.520)"
      },
      "parent_node_id": "node_2033",
      "improvement_over_parent": null
    },
    "node_2035": {
      "node_id": "node_2035",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 226.76 kg\n  Factor of Safety: 1.41\n  Max Deflection: 7.03e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.75942648158014,
      "fos_buckling": 1.4144170352658965,
      "fos_yielding": 3.8343129470316453,
      "deflection": 0.007032013818996055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_2034",
      "improvement_over_parent": null
    },
    "node_2036": {
      "node_id": "node_2036",
      "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.61437594405794,
      "fos_buckling": 1.525740205021114,
      "fos_yielding": 4.602780980466038,
      "deflection": 0.00696955980446072,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.225)"
      },
      "parent_node_id": "node_2035",
      "improvement_over_parent": null
    },
    "node_2037": {
      "node_id": "node_2037",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2036",
      "improvement_over_parent": null
    },
    "node_2038": {
      "node_id": "node_2038",
      "content": "INITIAL DESIGN (Trace 294)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 159.42 kg\n  Factor of Safety: 0.42\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": 159.4197239364355,
      "fos_buckling": 0.41892821940336794,
      "fos_yielding": 3.5872961681747304,
      "deflection": 0.015356854662585719,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2039": {
      "node_id": "node_2039",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 189.83 kg\n  Factor of Safety: 0.49\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": 189.82939184135864,
      "fos_buckling": 0.48838336298771307,
      "fos_yielding": 4.262082770817626,
      "deflection": 0.01292759620286671,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_2038",
      "improvement_over_parent": null
    },
    "node_2040": {
      "node_id": "node_2040",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n\nPerformance:\n  Mass: 213.12 kg\n  Factor of Safety: 1.20\n  Max Deflection: 7.53e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.11793461449724,
      "fos_buckling": 1.1974820867017841,
      "fos_yielding": 4.60403425603415,
      "deflection": 0.007526230381708997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005663)"
      },
      "parent_node_id": "node_2039",
      "improvement_over_parent": null
    },
    "node_2041": {
      "node_id": "node_2041",
      "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0103)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n\nPerformance:\n  Mass: 222.68 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.37e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.67555857704247,
      "fos_buckling": 1.1905057602678872,
      "fos_yielding": 4.60459021491232,
      "deflection": 0.007368561047467722,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.429)"
      },
      "parent_node_id": "node_2040",
      "improvement_over_parent": null
    },
    "node_2042": {
      "node_id": "node_2042",
      "content": "MODIFICATION: Increase 2 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0103)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n\nPerformance:\n  Mass: 227.99 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.17e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.9934573523471,
      "fos_buckling": 1.3202436147749725,
      "fos_yielding": 4.60588523553035,
      "deflection": 0.007170062565120547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.348)"
      },
      "parent_node_id": "node_2041",
      "improvement_over_parent": null
    },
    "node_2043": {
      "node_id": "node_2043",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2042",
      "improvement_over_parent": null
    },
    "node_2044": {
      "node_id": "node_2044",
      "content": "INITIAL DESIGN (Trace 295)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n\nPerformance:\n  Mass: 119.98 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.97e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.98313857828394,
      "fos_buckling": 0.6141707874033971,
      "fos_yielding": 2.969206995614137,
      "deflection": 29712451373581.94,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2045": {
      "node_id": "node_2045",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 135.61 kg\n  Factor of Safety: 0.73\n  Max Deflection: 2.12e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.61271224252488,
      "fos_buckling": 0.7316756377059773,
      "fos_yielding": 3.3694462215220975,
      "deflection": 21166716864003.953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_2044",
      "improvement_over_parent": null
    },
    "node_2046": {
      "node_id": "node_2046",
      "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 136.44 kg\n  Factor of Safety: 0.73\n  Max Deflection: 2.12e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.43587010170296,
      "fos_buckling": 0.7316756377059773,
      "fos_yielding": 4.211402655195888,
      "deflection": 21166716864003.953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.269)"
      },
      "parent_node_id": "node_2045",
      "improvement_over_parent": null
    },
    "node_2047": {
      "node_id": "node_2047",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 161.56 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": 161.5551650792039,
      "fos_buckling": 0.594943144147976,
      "fos_yielding": 3.1556509105989337,
      "deflection": 0.017583172814154852,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2046",
      "improvement_over_parent": null
    },
    "node_2048": {
      "node_id": "node_2048",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 193.95 kg\n  Factor of Safety: 0.59\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": 193.9487847193222,
      "fos_buckling": 0.5924182921460803,
      "fos_yielding": 3.1523050363972853,
      "deflection": 0.012297629575119996,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_2047",
      "improvement_over_parent": null
    },
    "node_2049": {
      "node_id": "node_2049",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 226.73 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.04e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.7263794622077,
      "fos_buckling": 1.3983728415160273,
      "fos_yielding": 3.7833769341530505,
      "deflection": 0.007036372342444605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_2048",
      "improvement_over_parent": null
    },
    "node_2050": {
      "node_id": "node_2050",
      "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6409947212545,
      "fos_buckling": 1.5260308626117989,
      "fos_yielding": 4.605456876147389,
      "deflection": 0.0069686862223206575,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.244)"
      },
      "parent_node_id": "node_2049",
      "improvement_over_parent": null
    },
    "node_2051": {
      "node_id": "node_2051",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2050",
      "improvement_over_parent": null
    },
    "node_2052": {
      "node_id": "node_2052",
      "content": "INITIAL DESIGN (Trace 296)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 170.54 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.54262688041993,
      "fos_buckling": 0.8947697797294034,
      "fos_yielding": 2.6294322881155896,
      "deflection": 0.0103400401129023,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2053": {
      "node_id": "node_2053",
      "content": "MODIFICATION: Increase 4 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 171.35 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.35134396587662,
      "fos_buckling": 0.900725711204309,
      "fos_yielding": 3.6075005376088853,
      "deflection": 0.010195535335052115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.408)"
      },
      "parent_node_id": "node_2052",
      "improvement_over_parent": null
    },
    "node_2054": {
      "node_id": "node_2054",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 193.29 kg\n  Factor of Safety: 1.20\n  Max Deflection: 8.19e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.29357609017265,
      "fos_buckling": 1.1953283152045637,
      "fos_yielding": 3.623167087616541,
      "deflection": 0.008192160746016907,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006148)"
      },
      "parent_node_id": "node_2053",
      "improvement_over_parent": null
    },
    "node_2055": {
      "node_id": "node_2055",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 221.34 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.33525500362816,
      "fos_buckling": 1.3479210092238423,
      "fos_yielding": 4.155512099809772,
      "deflection": 0.007176332039633679,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_2054",
      "improvement_over_parent": null
    },
    "node_2056": {
      "node_id": "node_2056",
      "content": "MODIFICATION: Increase 2 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 226.61 kg\n  Factor of Safety: 1.33\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.6076137888137,
      "fos_buckling": 1.3334731142160539,
      "fos_yielding": 4.1109706154714445,
      "deflection": 0.0070509364545454385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.344)"
      },
      "parent_node_id": "node_2055",
      "improvement_over_parent": null
    },
    "node_2057": {
      "node_id": "node_2057",
      "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63927807281704,
      "fos_buckling": 1.5260055877063665,
      "fos_yielding": 4.604328333947391,
      "deflection": 0.006968803540570924,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.339)"
      },
      "parent_node_id": "node_2056",
      "improvement_over_parent": null
    },
    "node_2058": {
      "node_id": "node_2058",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2057",
      "improvement_over_parent": null
    },
    "node_2059": {
      "node_id": "node_2059",
      "content": "INITIAL DESIGN (Trace 297)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n\nPerformance:\n  Mass: 159.16 kg\n  Factor of Safety: 0.45\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": 159.16331169345133,
      "fos_buckling": 0.45136951125781755,
      "fos_yielding": 3.1649658079922984,
      "deflection": 0.013950949878125061,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2060": {
      "node_id": "node_2060",
      "content": "MODIFICATION: Increase 9 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 165.83 kg\n  Factor of Safety: 0.66\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": 165.83491196587303,
      "fos_buckling": 0.6558978427952651,
      "fos_yielding": 3.1645081711710272,
      "deflection": 0.011659304256877025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.531)"
      },
      "parent_node_id": "node_2059",
      "improvement_over_parent": null
    },
    "node_2061": {
      "node_id": "node_2061",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 195.40 kg\n  Factor of Safety: 0.76\n  Max Deflection: 9.92e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.40123642471835,
      "fos_buckling": 0.7585771955615642,
      "fos_yielding": 3.739047555241903,
      "deflection": 0.009916850219104583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_2060",
      "improvement_over_parent": null
    },
    "node_2062": {
      "node_id": "node_2062",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 217.06 kg\n  Factor of Safety: 1.23\n  Max Deflection: 7.48e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.06053270156576,
      "fos_buckling": 1.2338095155451805,
      "fos_yielding": 3.7596284788281307,
      "deflection": 0.007477549549776922,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_2061",
      "improvement_over_parent": null
    },
    "node_2063": {
      "node_id": "node_2063",
      "content": "MODIFICATION: Increase 4 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 218.05 kg\n  Factor of Safety: 1.23\n  Max Deflection: 7.39e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.0492097912935,
      "fos_buckling": 1.2299779195499936,
      "fos_yielding": 3.7479529509274534,
      "deflection": 0.00739293742791718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.479)"
      },
      "parent_node_id": "node_2062",
      "improvement_over_parent": null
    },
    "node_2064": {
      "node_id": "node_2064",
      "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0097)]\n\nPerformance:\n  Mass: 226.13 kg\n  Factor of Safety: 1.23\n  Max Deflection: 7.22e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.13401802989887,
      "fos_buckling": 1.2301347220815775,
      "fos_yielding": 3.7484307550421634,
      "deflection": 0.007224865383816997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.429)"
      },
      "parent_node_id": "node_2063",
      "improvement_over_parent": null
    },
    "node_2065": {
      "node_id": "node_2065",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2064",
      "improvement_over_parent": null
    },
    "node_2066": {
      "node_id": "node_2066",
      "content": "INITIAL DESIGN (Trace 298)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 168.30 kg\n  Factor of Safety: 0.55\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": 168.30321642013223,
      "fos_buckling": 0.5483428186894798,
      "fos_yielding": 2.898751370907796,
      "deflection": 0.013965127692853381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2067": {
      "node_id": "node_2067",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 194.36 kg\n  Factor of Safety: 0.62\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": 194.35777486085726,
      "fos_buckling": 0.6162060922276293,
      "fos_yielding": 3.352605529481738,
      "deflection": 0.012125389054731858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_2066",
      "improvement_over_parent": null
    },
    "node_2068": {
      "node_id": "node_2068",
      "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 195.29 kg\n  Factor of Safety: 0.62\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": 195.29451173434293,
      "fos_buckling": 0.6162060922276293,
      "fos_yielding": 4.265342326729121,
      "deflection": 0.011897574313636318,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.299)"
      },
      "parent_node_id": "node_2067",
      "improvement_over_parent": null
    },
    "node_2069": {
      "node_id": "node_2069",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.68813137446122,
      "fos_buckling": 1.5263159517373457,
      "fos_yielding": 4.605488097649103,
      "deflection": 0.006967242278068666,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_2068",
      "improvement_over_parent": null
    },
    "node_2070": {
      "node_id": "node_2070",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2069",
      "improvement_over_parent": null
    },
    "node_2071": {
      "node_id": "node_2071",
      "content": "INITIAL DESIGN (Trace 299)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 164.96 kg\n  Factor of Safety: 0.62\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": 164.95629124093617,
      "fos_buckling": 0.6185219478936673,
      "fos_yielding": 4.2667900637981955,
      "deflection": 0.013966290381660066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2072": {
      "node_id": "node_2072",
      "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 170.11 kg\n  Factor of Safety: 0.62\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": 170.10981851600278,
      "fos_buckling": 0.6181029891381136,
      "fos_yielding": 4.265873119843683,
      "deflection": 0.01340955917474406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.245)"
      },
      "parent_node_id": "node_2071",
      "improvement_over_parent": null
    },
    "node_2073": {
      "node_id": "node_2073",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 202.50 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.50343815612106,
      "fos_buckling": 1.004202520136049,
      "fos_yielding": 5.145326395534688,
      "deflection": 0.008712879131747456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_2072",
      "improvement_over_parent": null
    },
    "node_2074": {
      "node_id": "node_2074",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.622733133622,
      "fos_buckling": 1.5260907160762598,
      "fos_yielding": 4.604134050111113,
      "deflection": 0.006969319874947072,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2073",
      "improvement_over_parent": null
    },
    "node_2075": {
      "node_id": "node_2075",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 300)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\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_2077": {
      "node_id": "node_2077",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n  Mass: 124.82 kg\n  Factor of Safety: 0.37\n  Max Deflection: 7.33e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.81930554463649,
      "fos_buckling": 0.37233711778825873,
      "fos_yielding": 4.038089464676472,
      "deflection": 73254173144141.36,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005328)"
      },
      "parent_node_id": "node_2076",
      "improvement_over_parent": null
    },
    "node_2078": {
      "node_id": "node_2078",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 150.71 kg\n  Factor of Safety: 0.81\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": 150.70520717962762,
      "fos_buckling": 0.809516612771982,
      "fos_yielding": 4.038089464676471,
      "deflection": 0.014805823166847028,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006299)"
      },
      "parent_node_id": "node_2077",
      "improvement_over_parent": null
    },
    "node_2079": {
      "node_id": "node_2079",
      "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 157.64 kg\n  Factor of Safety: 0.81\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": 157.6430846836732,
      "fos_buckling": 0.8087771786487264,
      "fos_yielding": 4.0356561998861284,
      "deflection": 0.013383588984785503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.484)"
      },
      "parent_node_id": "node_2078",
      "improvement_over_parent": null
    },
    "node_2080": {
      "node_id": "node_2080",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n  Mass: 159.53 kg\n  Factor of Safety: 0.81\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": 159.52666605370737,
      "fos_buckling": 0.8083762426806658,
      "fos_yielding": 3.6285961416962356,
      "deflection": 0.011108391158300025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002931)"
      },
      "parent_node_id": "node_2079",
      "improvement_over_parent": null
    },
    "node_2081": {
      "node_id": "node_2081",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 201.96 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.96032751628476,
      "fos_buckling": 0.9807648068768482,
      "fos_yielding": 4.586717224835261,
      "deflection": 0.008819548708233706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_2080",
      "improvement_over_parent": null
    },
    "node_2082": {
      "node_id": "node_2082",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.57685642557936,
      "fos_buckling": 1.52586669316346,
      "fos_yielding": 4.603102975579797,
      "deflection": 0.0069707126991190764,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_2081",
      "improvement_over_parent": null
    },
    "node_2083": {
      "node_id": "node_2083",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 301)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n\nPerformance:\n  Mass: 74.12 kg\n  Factor of Safety: 0.08\n  Max Deflection: 1.08e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 74.11935458318908,
      "fos_buckling": 0.08393744132000786,
      "fos_yielding": 0.45685941755273807,
      "deflection": 107685530420784.86,
      "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: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n\nPerformance:\n  Mass: 82.98 kg\n  Factor of Safety: 0.77\n  Max Deflection: 4.02e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 82.98308415382904,
      "fos_buckling": 0.7683901984464333,
      "fos_yielding": 2.9274314354788005,
      "deflection": 40236176654995.734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_2084",
      "improvement_over_parent": null
    },
    "node_2086": {
      "node_id": "node_2086",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n  Mass: 101.56 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.77e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 101.55823663930445,
      "fos_buckling": 0.9954812837728212,
      "fos_yielding": 2.6579302214712017,
      "deflection": 77749764898356.39,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_2085",
      "improvement_over_parent": null
    },
    "node_2087": {
      "node_id": "node_2087",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n\nPerformance:\n  Mass: 125.60 kg\n  Factor of Safety: 0.46\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": 125.59732582503729,
      "fos_buckling": 0.46418665413076177,
      "fos_yielding": 2.8671746398779705,
      "deflection": 0.018358277389911044,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005858)"
      },
      "parent_node_id": "node_2086",
      "improvement_over_parent": null
    },
    "node_2088": {
      "node_id": "node_2088",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n\nPerformance:\n  Mass: 144.61 kg\n  Factor of Safety: 0.46\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": 144.60595090372564,
      "fos_buckling": 0.46302330635127065,
      "fos_yielding": 2.8653864655770183,
      "deflection": 0.0162036610603892,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005209)"
      },
      "parent_node_id": "node_2087",
      "improvement_over_parent": null
    },
    "node_2089": {
      "node_id": "node_2089",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n  Mass: 168.14 kg\n  Factor of Safety: 0.53\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": 168.13500667786178,
      "fos_buckling": 0.525588256476963,
      "fos_yielding": 3.327773828724181,
      "deflection": 0.013972607393118775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_2088",
      "improvement_over_parent": null
    },
    "node_2090": {
      "node_id": "node_2090",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 196.43 kg\n  Factor of Safety: 1.35\n  Max Deflection: 8.05e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.42867071160356,
      "fos_buckling": 1.3543284827691509,
      "fos_yielding": 3.9772380335793716,
      "deflection": 0.008047683983965182,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006933)"
      },
      "parent_node_id": "node_2089",
      "improvement_over_parent": null
    },
    "node_2091": {
      "node_id": "node_2091",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5428360663573,
      "fos_buckling": 1.5257950458984408,
      "fos_yielding": 4.6023801915014975,
      "deflection": 0.006971580390100493,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_2090",
      "improvement_over_parent": null
    },
    "node_2092": {
      "node_id": "node_2092",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 302)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0034)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0030)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0036)]\n\nPerformance:\n  Mass: 86.24 kg\n  Factor of Safety: 0.26\n  Max Deflection: 7.77e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 86.24221358983147,
      "fos_buckling": 0.26151787338957055,
      "fos_yielding": 1.9959661299320037,
      "deflection": 0.07772637052854246,
      "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 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0034)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0030)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0036)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n\nPerformance:\n  Mass: 87.35 kg\n  Factor of Safety: 0.32\n  Max Deflection: 2.84e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 87.35107417184355,
      "fos_buckling": 0.3185073491549524,
      "fos_yielding": 1.9957804480967136,
      "deflection": 0.028361962262964245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.001676)"
      },
      "parent_node_id": "node_2093",
      "improvement_over_parent": null
    },
    "node_2095": {
      "node_id": "node_2095",
      "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0034)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0030)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0022)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0036)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n\nPerformance:\n  Mass: 92.04 kg\n  Factor of Safety: 0.32\n  Max Deflection: 2.81e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 92.04492096715674,
      "fos_buckling": 0.31830891216616153,
      "fos_yielding": 1.9953875630651712,
      "deflection": 0.02809207946304436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.425)"
      },
      "parent_node_id": "node_2094",
      "improvement_over_parent": null
    },
    "node_2096": {
      "node_id": "node_2096",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n\nPerformance:\n  Mass: 109.82 kg\n  Factor of Safety: 0.37\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": 109.82458488301435,
      "fos_buckling": 0.37347053259605967,
      "fos_yielding": 2.3792689176500983,
      "deflection": 0.02356323138084045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_2095",
      "improvement_over_parent": null
    },
    "node_2097": {
      "node_id": "node_2097",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n\nPerformance:\n  Mass: 127.80 kg\n  Factor of Safety: 0.88\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": 127.80333921364218,
      "fos_buckling": 0.8759061786597229,
      "fos_yielding": 2.540162273345393,
      "deflection": 0.012473571502264358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004308)"
      },
      "parent_node_id": "node_2096",
      "improvement_over_parent": null
    },
    "node_2098": {
      "node_id": "node_2098",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n\nPerformance:\n  Mass: 144.47 kg\n  Factor of Safety: 0.98\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": 144.4664550070537,
      "fos_buckling": 0.9768425959405675,
      "fos_yielding": 2.870574953318484,
      "deflection": 0.011052643636409424,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_2097",
      "improvement_over_parent": null
    },
    "node_2099": {
      "node_id": "node_2099",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n\nPerformance:\n  Mass: 186.78 kg\n  Factor of Safety: 1.22\n  Max Deflection: 8.58e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.7785858619536,
      "fos_buckling": 1.2196582827650795,
      "fos_yielding": 3.7089880143146807,
      "deflection": 0.008583494624072431,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_2098",
      "improvement_over_parent": null
    },
    "node_2100": {
      "node_id": "node_2100",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0102)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 229.96 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.95667338135786,
      "fos_buckling": 1.4476935884506938,
      "fos_yielding": 4.563896269808587,
      "deflection": 0.007000159424052272,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_2099",
      "improvement_over_parent": null
    },
    "node_2101": {
      "node_id": "node_2101",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2100",
      "improvement_over_parent": null
    },
    "node_2102": {
      "node_id": "node_2102",
      "content": "INITIAL DESIGN (Trace 303)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 141.50 kg\n  Factor of Safety: 0.76\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": 141.49548788518845,
      "fos_buckling": 0.7635143038052628,
      "fos_yielding": 3.707175157354663,
      "deflection": 0.014617846724186596,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2103": {
      "node_id": "node_2103",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n\nPerformance:\n  Mass: 157.10 kg\n  Factor of Safety: 0.76\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": 157.09618054803997,
      "fos_buckling": 0.7591064548077372,
      "fos_yielding": 3.697677164228311,
      "deflection": 0.014648558014650311,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004781)"
      },
      "parent_node_id": "node_2102",
      "improvement_over_parent": null
    },
    "node_2104": {
      "node_id": "node_2104",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n\nPerformance:\n  Mass: 178.01 kg\n  Factor of Safety: 0.84\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": 178.00579094861277,
      "fos_buckling": 0.844676691577752,
      "fos_yielding": 4.1851790822287045,
      "deflection": 0.012947451899696764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_2103",
      "improvement_over_parent": null
    },
    "node_2105": {
      "node_id": "node_2105",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n  Mass: 179.95 kg\n  Factor of Safety: 1.15\n  Max Deflection: 8.74e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.95143590500194,
      "fos_buckling": 1.1500408419887793,
      "fos_yielding": 3.7604476049941296,
      "deflection": 0.008736782545578997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003035)"
      },
      "parent_node_id": "node_2104",
      "improvement_over_parent": null
    },
    "node_2106": {
      "node_id": "node_2106",
      "content": "MODIFICATION: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n  Mass: 185.72 kg\n  Factor of Safety: 1.29\n  Max Deflection: 8.50e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.7199764036686,
      "fos_buckling": 1.2923672048808115,
      "fos_yielding": 3.761715673127855,
      "deflection": 0.008501594362450543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.506)"
      },
      "parent_node_id": "node_2105",
      "improvement_over_parent": null
    },
    "node_2107": {
      "node_id": "node_2107",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.66 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6649588330747,
      "fos_buckling": 1.52614308135254,
      "fos_yielding": 4.604759743483414,
      "deflection": 0.0069680472892008505,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_2106",
      "improvement_over_parent": null
    },
    "node_2108": {
      "node_id": "node_2108",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 304)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2110": {
      "node_id": "node_2110",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0065)]\n\nPerformance:\n  Mass: 156.68 kg\n  Factor of Safety: 0.91\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": 156.68295610387992,
      "fos_buckling": 0.9096450180995707,
      "fos_yielding": 4.668752311926998,
      "deflection": 0.011777188512472756,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006464)"
      },
      "parent_node_id": "node_2109",
      "improvement_over_parent": null
    },
    "node_2111": {
      "node_id": "node_2111",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 172.99 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.98554821072025,
      "fos_buckling": 0.9852239544464346,
      "fos_yielding": 5.152180255139081,
      "deflection": 0.010694373334569601,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_2110",
      "improvement_over_parent": null
    },
    "node_2112": {
      "node_id": "node_2112",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 195.08 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.70e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.07669633938056,
      "fos_buckling": 1.0057335812171941,
      "fos_yielding": 5.152180255139081,
      "deflection": 0.008698267645651812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2111",
      "improvement_over_parent": null
    },
    "node_2113": {
      "node_id": "node_2113",
      "content": "MODIFICATION: Increase 3 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0081)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 197.27 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.60e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.27407650065174,
      "fos_buckling": 1.0057335812171944,
      "fos_yielding": 5.152180255139081,
      "deflection": 0.008604524094906071,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.587)"
      },
      "parent_node_id": "node_2112",
      "improvement_over_parent": null
    },
    "node_2114": {
      "node_id": "node_2114",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0081)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 222.39 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.08e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.3933714781527,
      "fos_buckling": 1.3539615633243727,
      "fos_yielding": 4.6693234994526485,
      "deflection": 0.007080541011007974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2113",
      "improvement_over_parent": null
    },
    "node_2115": {
      "node_id": "node_2115",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2114",
      "improvement_over_parent": null
    },
    "node_2116": {
      "node_id": "node_2116",
      "content": "INITIAL DESIGN (Trace 305)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 130.82 kg\n  Factor of Safety: 0.97\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": 130.81950838226902,
      "fos_buckling": 0.9688862415417128,
      "fos_yielding": 2.703135737039112,
      "deflection": 0.01205543112620207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2117": {
      "node_id": "node_2117",
      "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 133.19 kg\n  Factor of Safety: 0.97\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": 133.18657463950268,
      "fos_buckling": 0.9697962738777121,
      "fos_yielding": 2.7023887667235367,
      "deflection": 0.011784525052747153,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.178)"
      },
      "parent_node_id": "node_2116",
      "improvement_over_parent": null
    },
    "node_2118": {
      "node_id": "node_2118",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 157.38 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.38277181308413,
      "fos_buckling": 1.122490618109567,
      "fos_yielding": 3.190717014686789,
      "deflection": 0.010000119859830318,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_2117",
      "improvement_over_parent": null
    },
    "node_2119": {
      "node_id": "node_2119",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 174.87 kg\n  Factor of Safety: 1.23\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.86939704394223,
      "fos_buckling": 1.2284348783313783,
      "fos_yielding": 3.5431343182755493,
      "deflection": 0.009017921981627389,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_2118",
      "improvement_over_parent": null
    },
    "node_2120": {
      "node_id": "node_2120",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7616273958415,
      "fos_buckling": 1.526611293706138,
      "fos_yielding": 4.6065637063171785,
      "deflection": 0.0069650518373207335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_2119",
      "improvement_over_parent": null
    },
    "node_2121": {
      "node_id": "node_2121",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 306)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n  Mass: 100.90 kg\n  Factor of Safety: 0.54\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": 100.90353985820005,
      "fos_buckling": 0.544186284513848,
      "fos_yielding": 2.523291687113757,
      "deflection": 0.01756325397725206,
      "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 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 113.42 kg\n  Factor of Safety: 0.60\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": 113.42043826061024,
      "fos_buckling": 0.6045838699257932,
      "fos_yielding": 2.8358465665965444,
      "deflection": 0.015648891274397312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_2122",
      "improvement_over_parent": null
    },
    "node_2124": {
      "node_id": "node_2124",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 141.31 kg\n  Factor of Safety: 0.73\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": 141.30507289702342,
      "fos_buckling": 0.7335963448176778,
      "fos_yielding": 3.5317832897104124,
      "deflection": 0.012603513986287099,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_2123",
      "improvement_over_parent": null
    },
    "node_2125": {
      "node_id": "node_2125",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n\nPerformance:\n  Mass: 156.17 kg\n  Factor of Safety: 1.12\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.16571130559313,
      "fos_buckling": 1.1150338036510374,
      "fos_yielding": 3.1663436280335313,
      "deflection": 0.010076768379852894,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004540)"
      },
      "parent_node_id": "node_2124",
      "improvement_over_parent": null
    },
    "node_2126": {
      "node_id": "node_2126",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n  Mass: 203.11 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.79e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.11008440998012,
      "fos_buckling": 1.3918477032852612,
      "fos_yielding": 4.111619632736271,
      "deflection": 0.0077888790554011865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_2125",
      "improvement_over_parent": null
    },
    "node_2127": {
      "node_id": "node_2127",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6930795787359,
      "fos_buckling": 1.5263128556538004,
      "fos_yielding": 4.605427062108792,
      "deflection": 0.006967162341511575,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_2126",
      "improvement_over_parent": null
    },
    "node_2128": {
      "node_id": "node_2128",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2127",
      "improvement_over_parent": null
    },
    "node_2129": {
      "node_id": "node_2129",
      "content": "INITIAL DESIGN (Trace 307)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 196.24 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.24477579508115,
      "fos_buckling": 1.0035002582379493,
      "fos_yielding": 5.145326395534688,
      "deflection": 0.010593836696031563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2130": {
      "node_id": "node_2130",
      "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 200.14 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.14063230070875,
      "fos_buckling": 1.0029770636487199,
      "fos_yielding": 5.145326395534688,
      "deflection": 0.010599303355370687,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.235)"
      },
      "parent_node_id": "node_2129",
      "improvement_over_parent": null
    },
    "node_2131": {
      "node_id": "node_2131",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 225.26 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.2599272782097,
      "fos_buckling": 0.9997085810498115,
      "fos_yielding": 5.1229738692407825,
      "deflection": 0.010599504692603111,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2130",
      "improvement_over_parent": null
    },
    "node_2132": {
      "node_id": "node_2132",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.64460958979583,
      "fos_buckling": 1.5259838916681574,
      "fos_yielding": 4.604193528894666,
      "deflection": 0.006968739242363175,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_2131",
      "improvement_over_parent": null
    },
    "node_2133": {
      "node_id": "node_2133",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2132",
      "improvement_over_parent": null
    },
    "node_2134": {
      "node_id": "node_2134",
      "content": "INITIAL DESIGN (Trace 308)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 170.28 kg\n  Factor of Safety: 1.05\n  Max Deflection: 9.29e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.28080020173297,
      "fos_buckling": 1.048650339344983,
      "fos_yielding": 3.133699313392256,
      "deflection": 0.009287529334828182,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2135": {
      "node_id": "node_2135",
      "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 171.13 kg\n  Factor of Safety: 1.11\n  Max Deflection: 9.17e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.1321389725758,
      "fos_buckling": 1.1106881754854705,
      "fos_yielding": 3.616507124525304,
      "deflection": 0.00917245151442813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.359)"
      },
      "parent_node_id": "node_2134",
      "improvement_over_parent": null
    },
    "node_2136": {
      "node_id": "node_2136",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 220.82 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.15e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.8246863666664,
      "fos_buckling": 1.3909330594295348,
      "fos_yielding": 4.656037082104598,
      "deflection": 0.007148168244806003,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_2135",
      "improvement_over_parent": null
    },
    "node_2137": {
      "node_id": "node_2137",
      "content": "MODIFICATION: Increase 3 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.57 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.57478917262614,
      "fos_buckling": 1.5256220438411685,
      "fos_yielding": 4.603308569864178,
      "deflection": 0.0069705014067146355,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.497)"
      },
      "parent_node_id": "node_2136",
      "improvement_over_parent": null
    },
    "node_2138": {
      "node_id": "node_2138",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2137",
      "improvement_over_parent": null
    },
    "node_2139": {
      "node_id": "node_2139",
      "content": "INITIAL DESIGN (Trace 309)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 124.08 kg\n  Factor of Safety: 0.65\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": 124.08304714983822,
      "fos_buckling": 0.6508422067014253,
      "fos_yielding": 2.8259421632137625,
      "deflection": 0.014220230626376281,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2140": {
      "node_id": "node_2140",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 156.52 kg\n  Factor of Safety: 0.80\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": 156.51740864410274,
      "fos_buckling": 0.795452398997997,
      "fos_yielding": 3.560420648213431,
      "deflection": 0.011317947504902722,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_2139",
      "improvement_over_parent": null
    },
    "node_2141": {
      "node_id": "node_2141",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 176.03 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.02997912232146,
      "fos_buckling": 0.8774693218480644,
      "fos_yielding": 4.001450746953121,
      "deflection": 0.010087183686046738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_2140",
      "improvement_over_parent": null
    },
    "node_2142": {
      "node_id": "node_2142",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n\nPerformance:\n  Mass: 198.36 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.97e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.3586751175443,
      "fos_buckling": 1.3649806664552333,
      "fos_yielding": 4.015942490961876,
      "deflection": 0.00797128674416044,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006194)"
      },
      "parent_node_id": "node_2141",
      "improvement_over_parent": null
    },
    "node_2143": {
      "node_id": "node_2143",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.43 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.43032088720526,
      "fos_buckling": 1.524859992939043,
      "fos_yielding": 4.599996146170464,
      "deflection": 0.006975091084951823,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_2142",
      "improvement_over_parent": null
    },
    "node_2144": {
      "node_id": "node_2144",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2143",
      "improvement_over_parent": null
    },
    "node_2145": {
      "node_id": "node_2145",
      "content": "INITIAL DESIGN (Trace 310)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2146": {
      "node_id": "node_2146",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n\nPerformance:\n  Mass: 177.31 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.31153454007574,
      "fos_buckling": 0.7325261922865006,
      "fos_yielding": 4.094414195088801,
      "deflection": 0.010679668441534639,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006349)"
      },
      "parent_node_id": "node_2145",
      "improvement_over_parent": null
    },
    "node_2147": {
      "node_id": "node_2147",
      "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n\nPerformance:\n  Mass: 183.31 kg\n  Factor of Safety: 0.89\n  Max Deflection: 9.86e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.30890981720398,
      "fos_buckling": 0.8943138429965871,
      "fos_yielding": 4.094021573098994,
      "deflection": 0.009862441372668266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.284)"
      },
      "parent_node_id": "node_2146",
      "improvement_over_parent": null
    },
    "node_2148": {
      "node_id": "node_2148",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 205.66 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.66147403475412,
      "fos_buckling": 0.9812727519079764,
      "fos_yielding": 4.589522272020161,
      "deflection": 0.008814163316818608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_2147",
      "improvement_over_parent": null
    },
    "node_2149": {
      "node_id": "node_2149",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.75262216341443,
      "fos_buckling": 1.526606041010611,
      "fos_yielding": 4.606520917164658,
      "deflection": 0.006965241668068712,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2148",
      "improvement_over_parent": null
    },
    "node_2150": {
      "node_id": "node_2150",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2149",
      "improvement_over_parent": null
    },
    "node_2151": {
      "node_id": "node_2151",
      "content": "INITIAL DESIGN (Trace 311)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 198.48 kg\n  Factor of Safety: 0.92\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": 198.48218580243275,
      "fos_buckling": 0.9188759193928349,
      "fos_yielding": 4.622208482196146,
      "deflection": 0.011739993622398973,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2152": {
      "node_id": "node_2152",
      "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 202.96 kg\n  Factor of Safety: 0.92\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": 202.95891132971676,
      "fos_buckling": 0.918155555049028,
      "fos_yielding": 4.620124813074301,
      "deflection": 0.011746978087281491,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.323)"
      },
      "parent_node_id": "node_2151",
      "improvement_over_parent": null
    },
    "node_2153": {
      "node_id": "node_2153",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 225.31 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.30539610751129,
      "fos_buckling": 0.9998975495051382,
      "fos_yielding": 5.124166603161577,
      "deflection": 0.010597032611973494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_2152",
      "improvement_over_parent": null
    },
    "node_2154": {
      "node_id": "node_2154",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.69007841909743,
      "fos_buckling": 1.526305927140315,
      "fos_yielding": 4.605249651066202,
      "deflection": 0.0069673563406927345,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_2153",
      "improvement_over_parent": null
    },
    "node_2155": {
      "node_id": "node_2155",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2154",
      "improvement_over_parent": null
    },
    "node_2156": {
      "node_id": "node_2156",
      "content": "INITIAL DESIGN (Trace 312)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0023)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n  Mass: 85.53 kg\n  Factor of Safety: 0.55\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": 85.53386986496271,
      "fos_buckling": 0.545997751446283,
      "fos_yielding": 2.592621405999052,
      "deflection": 0.02393685281791638,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2157": {
      "node_id": "node_2157",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0023)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n\nPerformance:\n  Mass: 98.18 kg\n  Factor of Safety: 0.55\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": 98.17713029482663,
      "fos_buckling": 0.5450821925627926,
      "fos_yielding": 2.27293374759749,
      "deflection": 0.018298922519653604,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.003425)"
      },
      "parent_node_id": "node_2156",
      "improvement_over_parent": null
    },
    "node_2158": {
      "node_id": "node_2158",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0023)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n\nPerformance:\n  Mass: 109.29 kg\n  Factor of Safety: 0.80\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": 109.29415314088838,
      "fos_buckling": 0.7993035685444044,
      "fos_yielding": 2.2804148997124,
      "deflection": 0.014712029282261086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003309)"
      },
      "parent_node_id": "node_2157",
      "improvement_over_parent": null
    },
    "node_2159": {
      "node_id": "node_2159",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0027)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n\nPerformance:\n  Mass: 127.41 kg\n  Factor of Safety: 0.92\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": 127.40962471215103,
      "fos_buckling": 0.9172866168639012,
      "fos_yielding": 2.6563901438887694,
      "deflection": 0.012643011188460791,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_2158",
      "improvement_over_parent": null
    },
    "node_2160": {
      "node_id": "node_2160",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n\nPerformance:\n  Mass: 154.40 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.3998991738416,
      "fos_buckling": 1.085606609040012,
      "fos_yielding": 3.215488397320151,
      "deflection": 0.010460788462398177,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_2159",
      "improvement_over_parent": null
    },
    "node_2161": {
      "node_id": "node_2161",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n  Mass: 182.52 kg\n  Factor of Safety: 1.25\n  Max Deflection: 8.87e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.5221221803532,
      "fos_buckling": 1.2515963417432479,
      "fos_yielding": 3.79666579047736,
      "deflection": 0.008873444464569228,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_2160",
      "improvement_over_parent": null
    },
    "node_2162": {
      "node_id": "node_2162",
      "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n  Mass: 191.16 kg\n  Factor of Safety: 1.32\n  Max Deflection: 8.26e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.16122788699712,
      "fos_buckling": 1.3235124605148516,
      "fos_yielding": 3.8709433902260324,
      "deflection": 0.00826445680655276,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.616)"
      },
      "parent_node_id": "node_2161",
      "improvement_over_parent": null
    },
    "node_2163": {
      "node_id": "node_2163",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5397654245285,
      "fos_buckling": 1.525070195947039,
      "fos_yielding": 4.601931920257152,
      "deflection": 0.006971607889068387,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_2162",
      "improvement_over_parent": null
    },
    "node_2164": {
      "node_id": "node_2164",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2163",
      "improvement_over_parent": null
    },
    "node_2165": {
      "node_id": "node_2165",
      "content": "INITIAL DESIGN (Trace 313)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 153.61 kg\n  Factor of Safety: 0.42\n  Max Deflection: 4.37e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.60995388332788,
      "fos_buckling": 0.42203816012965284,
      "fos_yielding": 3.403257763111908,
      "deflection": 0.04373472149178859,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2166": {
      "node_id": "node_2166",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n  Mass: 155.51 kg\n  Factor of Safety: 0.51\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": 155.5096793406085,
      "fos_buckling": 0.5112802087050754,
      "fos_yielding": 3.402717785891409,
      "deflection": 0.014875477273600606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002958)"
      },
      "parent_node_id": "node_2165",
      "improvement_over_parent": null
    },
    "node_2167": {
      "node_id": "node_2167",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 195.17 kg\n  Factor of Safety: 0.62\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": 195.17264553313086,
      "fos_buckling": 0.6159067598120809,
      "fos_yielding": 4.260019327245211,
      "deflection": 0.011905135715982252,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_2166",
      "improvement_over_parent": null
    },
    "node_2168": {
      "node_id": "node_2168",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.57 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.56626517324915,
      "fos_buckling": 1.5255880349039832,
      "fos_yielding": 4.602685076572852,
      "deflection": 0.006970890772941209,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_2167",
      "improvement_over_parent": null
    },
    "node_2169": {
      "node_id": "node_2169",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2168",
      "improvement_over_parent": null
    },
    "node_2170": {
      "node_id": "node_2170",
      "content": "INITIAL DESIGN (Trace 314)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 137.67 kg\n  Factor of Safety: 0.83\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": 137.66940369296142,
      "fos_buckling": 0.8320160681814075,
      "fos_yielding": 2.986373849265662,
      "deflection": 0.01159319686621064,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2171": {
      "node_id": "node_2171",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 168.32 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.51e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.32201145922173,
      "fos_buckling": 0.9996009168298668,
      "fos_yielding": 3.6448334789677834,
      "deflection": 0.009511020057246963,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_2170",
      "improvement_over_parent": null
    },
    "node_2172": {
      "node_id": "node_2172",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 188.13 kg\n  Factor of Safety: 1.10\n  Max Deflection: 8.53e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.12597010128823,
      "fos_buckling": 1.10450574282976,
      "fos_yielding": 4.068926041779551,
      "deflection": 0.008526487765439534,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_2171",
      "improvement_over_parent": null
    },
    "node_2173": {
      "node_id": "node_2173",
      "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 193.92 kg\n  Factor of Safety: 1.37\n  Max Deflection: 8.28e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.9234432722807,
      "fos_buckling": 1.366340921259634,
      "fos_yielding": 4.070227210659854,
      "deflection": 0.008276468456280548,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.458)"
      },
      "parent_node_id": "node_2172",
      "improvement_over_parent": null
    },
    "node_2174": {
      "node_id": "node_2174",
      "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 200.95 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.87e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.94713142019702,
      "fos_buckling": 1.3795088750445712,
      "fos_yielding": 4.067559356424692,
      "deflection": 0.007870755169124196,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.431)"
      },
      "parent_node_id": "node_2173",
      "improvement_over_parent": null
    },
    "node_2175": {
      "node_id": "node_2175",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.83 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.82916093922998,
      "fos_buckling": 1.526863121783373,
      "fos_yielding": 4.6075183742127415,
      "deflection": 0.006963066656176062,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_2174",
      "improvement_over_parent": null
    },
    "node_2176": {
      "node_id": "node_2176",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2175",
      "improvement_over_parent": null
    },
    "node_2177": {
      "node_id": "node_2177",
      "content": "INITIAL DESIGN (Trace 315)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 175.37 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.37217182212322,
      "fos_buckling": 0.9055258189688297,
      "fos_yielding": 4.0703436598663165,
      "deflection": 0.010289316507926038,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2178": {
      "node_id": "node_2178",
      "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 185.90 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.73e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.89592411502719,
      "fos_buckling": 0.9042760070672493,
      "fos_yielding": 4.151617700906495,
      "deflection": 0.009729089962521816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.597)"
      },
      "parent_node_id": "node_2177",
      "improvement_over_parent": null
    },
    "node_2179": {
      "node_id": "node_2179",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.52 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.51810492615684,
      "fos_buckling": 0.9803718627939425,
      "fos_yielding": 4.58657335605684,
      "deflection": 0.00882094288499116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_2178",
      "improvement_over_parent": null
    },
    "node_2180": {
      "node_id": "node_2180",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.60925305481715,
      "fos_buckling": 1.5259979251940559,
      "fos_yielding": 4.603568602030385,
      "deflection": 0.0069696770452273,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2179",
      "improvement_over_parent": null
    },
    "node_2181": {
      "node_id": "node_2181",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2180",
      "improvement_over_parent": null
    },
    "node_2182": {
      "node_id": "node_2182",
      "content": "INITIAL DESIGN (Trace 316)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 140.32 kg\n  Factor of Safety: 0.34\n  Max Deflection: 5.27e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.31787873170495,
      "fos_buckling": 0.3438538372890811,
      "fos_yielding": 2.6107810230414334,
      "deflection": 0.052669697956884504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2183": {
      "node_id": "node_2183",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 177.65 kg\n  Factor of Safety: 0.42\n  Max Deflection: 4.16e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.65028953084183,
      "fos_buckling": 0.42330506239521654,
      "fos_yielding": 3.30964844690161,
      "deflection": 0.041591041934457534,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_2182",
      "improvement_over_parent": null
    },
    "node_2184": {
      "node_id": "node_2184",
      "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 178.63 kg\n  Factor of Safety: 0.42\n  Max Deflection: 4.13e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.63311426627575,
      "fos_buckling": 0.42330506239521665,
      "fos_yielding": 4.078243034267015,
      "deflection": 0.04134887701617662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.318)"
      },
      "parent_node_id": "node_2183",
      "improvement_over_parent": null
    },
    "node_2185": {
      "node_id": "node_2185",
      "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 185.18 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.86e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.1804763447693,
      "fos_buckling": 0.5101109154433953,
      "fos_yielding": 4.07469310111776,
      "deflection": 0.03864725849249983,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.274)"
      },
      "parent_node_id": "node_2184",
      "improvement_over_parent": null
    },
    "node_2186": {
      "node_id": "node_2186",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 187.57 kg\n  Factor of Safety: 0.62\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": 187.56515865635544,
      "fos_buckling": 0.6167221151301518,
      "fos_yielding": 4.266044366138425,
      "deflection": 0.012267785423965727,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_2185",
      "improvement_over_parent": null
    },
    "node_2187": {
      "node_id": "node_2187",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 219.96 kg\n  Factor of Safety: 1.52\n  Max Deflection: 7.32e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 219.95877829647372,
      "fos_buckling": 1.5191151598045856,
      "fos_yielding": 4.544225423711358,
      "deflection": 0.007315189064470211,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_2186",
      "improvement_over_parent": null
    },
    "node_2188": {
      "node_id": "node_2188",
      "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6458303547817,
      "fos_buckling": 1.52618117801793,
      "fos_yielding": 4.604505788894489,
      "deflection": 0.0069685055271936905,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.410)"
      },
      "parent_node_id": "node_2187",
      "improvement_over_parent": null
    },
    "node_2189": {
      "node_id": "node_2189",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2188",
      "improvement_over_parent": null
    },
    "node_2190": {
      "node_id": "node_2190",
      "content": "INITIAL DESIGN (Trace 317)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0023)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.00 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.74e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.00068492559146,
      "fos_buckling": 1.2839502185715914,
      "fos_yielding": 4.639225305519408,
      "deflection": 0.007737102529467728,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2191": {
      "node_id": "node_2191",
      "content": "MODIFICATION: Increase 8 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 207.75 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.56e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.75281653704067,
      "fos_buckling": 1.3430384290743254,
      "fos_yielding": 4.640646536588708,
      "deflection": 0.007563204235148208,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.325)"
      },
      "parent_node_id": "node_2190",
      "improvement_over_parent": null
    },
    "node_2192": {
      "node_id": "node_2192",
      "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 214.49 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.28e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.490721728779,
      "fos_buckling": 1.4508933053364543,
      "fos_yielding": 4.642770765181398,
      "deflection": 0.007283246295269547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.621)"
      },
      "parent_node_id": "node_2191",
      "improvement_over_parent": null
    },
    "node_2193": {
      "node_id": "node_2193",
      "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 221.84 kg\n  Factor of Safety: 1.47\n  Max Deflection: 7.10e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.83899992967943,
      "fos_buckling": 1.4672392966960408,
      "fos_yielding": 4.643936760759177,
      "deflection": 0.007101549675283315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.441)"
      },
      "parent_node_id": "node_2192",
      "improvement_over_parent": null
    },
    "node_2194": {
      "node_id": "node_2194",
      "content": "MODIFICATION: Increase 9 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.64559567654828,
      "fos_buckling": 1.5259876384692168,
      "fos_yielding": 4.604191052405462,
      "deflection": 0.006968724876864074,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.330)"
      },
      "parent_node_id": "node_2193",
      "improvement_over_parent": null
    },
    "node_2195": {
      "node_id": "node_2195",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2194",
      "improvement_over_parent": null
    },
    "node_2196": {
      "node_id": "node_2196",
      "content": "INITIAL DESIGN (Trace 318)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n\nPerformance:\n  Mass: 124.69 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.92e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.69132890587798,
      "fos_buckling": 1.2573559591485466,
      "fos_yielding": 3.803495819969526,
      "deflection": 8919962708198.252,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2197": {
      "node_id": "node_2197",
      "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n\nPerformance:\n  Mass: 134.85 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.27e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.85063986967245,
      "fos_buckling": 0.7554970594585324,
      "fos_yielding": 4.4826110308383065,
      "deflection": 126527609875994.02,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.608)"
      },
      "parent_node_id": "node_2196",
      "improvement_over_parent": null
    },
    "node_2198": {
      "node_id": "node_2198",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 163.40 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.39663976532515,
      "fos_buckling": 0.8993092012081508,
      "fos_yielding": 3.4761038652371905,
      "deflection": 0.010690254734656396,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007000)"
      },
      "parent_node_id": "node_2197",
      "improvement_over_parent": null
    },
    "node_2199": {
      "node_id": "node_2199",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 187.80 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.33e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.79530902440027,
      "fos_buckling": 1.006094164720606,
      "fos_yielding": 4.0015258334404935,
      "deflection": 0.009327695511591913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_2198",
      "improvement_over_parent": null
    },
    "node_2200": {
      "node_id": "node_2200",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 212.91 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.59e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.9146040019012,
      "fos_buckling": 1.305396646064513,
      "fos_yielding": 4.016711210294755,
      "deflection": 0.007594556113257421,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2199",
      "improvement_over_parent": null
    },
    "node_2201": {
      "node_id": "node_2201",
      "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 214.00 kg\n  Factor of Safety: 1.53\n  Max Deflection: 7.50e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 213.9973165388134,
      "fos_buckling": 1.526351943147321,
      "fos_yielding": 4.607236723593153,
      "deflection": 0.007502671161990238,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.361)"
      },
      "parent_node_id": "node_2200",
      "improvement_over_parent": null
    },
    "node_2202": {
      "node_id": "node_2202",
      "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 222.23 kg\n  Factor of Safety: 1.47\n  Max Deflection: 7.09e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.23027721398878,
      "fos_buckling": 1.4715736354123181,
      "fos_yielding": 4.604071590230757,
      "deflection": 0.007092768643448108,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.458)"
      },
      "parent_node_id": "node_2201",
      "improvement_over_parent": null
    },
    "node_2203": {
      "node_id": "node_2203",
      "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6831220194578,
      "fos_buckling": 1.5261224803432227,
      "fos_yielding": 4.604905943532622,
      "deflection": 0.0069671172261076934,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.297)"
      },
      "parent_node_id": "node_2202",
      "improvement_over_parent": null
    },
    "node_2204": {
      "node_id": "node_2204",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2203",
      "improvement_over_parent": null
    },
    "node_2205": {
      "node_id": "node_2205",
      "content": "INITIAL DESIGN (Trace 319)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 167.41 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.40967704164225,
      "fos_buckling": 0.844282834600557,
      "fos_yielding": 3.826009504034046,
      "deflection": 0.010591334423970724,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2206": {
      "node_id": "node_2206",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n\nPerformance:\n  Mass: 181.73 kg\n  Factor of Safety: 1.22\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.7297234323148,
      "fos_buckling": 1.2190166262163906,
      "fos_yielding": 3.843491892638072,
      "deflection": 0.00871666657461102,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.003860)"
      },
      "parent_node_id": "node_2205",
      "improvement_over_parent": null
    },
    "node_2207": {
      "node_id": "node_2207",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n\nPerformance:\n  Mass: 218.58 kg\n  Factor of Safety: 1.42\n  Max Deflection: 7.28e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.57838526605047,
      "fos_buckling": 1.4180322492533577,
      "fos_yielding": 4.6143838752763875,
      "deflection": 0.0072757016022091635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_2206",
      "improvement_over_parent": null
    },
    "node_2208": {
      "node_id": "node_2208",
      "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n\nPerformance:\n  Mass: 219.28 kg\n  Factor of Safety: 1.43\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.27536684699413,
      "fos_buckling": 1.4348765989535686,
      "fos_yielding": 4.601410863802696,
      "deflection": 0.0071827378691478845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.453)"
      },
      "parent_node_id": "node_2207",
      "improvement_over_parent": null
    },
    "node_2209": {
      "node_id": "node_2209",
      "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0109)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n\nPerformance:\n  Mass: 230.61 kg\n  Factor of Safety: 1.43\n  Max Deflection: 7.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.61099707622148,
      "fos_buckling": 1.4307671252955207,
      "fos_yielding": 4.551486142981666,
      "deflection": 0.00702139689943365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.524)"
      },
      "parent_node_id": "node_2208",
      "improvement_over_parent": null
    },
    "node_2210": {
      "node_id": "node_2210",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2209",
      "improvement_over_parent": null
    },
    "node_2211": {
      "node_id": "node_2211",
      "content": "INITIAL DESIGN (Trace 320)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 149.75 kg\n  Factor of Safety: 0.38\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": 149.74875140404473,
      "fos_buckling": 0.38200908398090166,
      "fos_yielding": 3.385002678953005,
      "deflection": 0.01651733965598904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2212": {
      "node_id": "node_2212",
      "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 154.58 kg\n  Factor of Safety: 0.51\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": 154.58152244683626,
      "fos_buckling": 0.5083636526619483,
      "fos_yielding": 3.382953113068185,
      "deflection": 0.014965462783526671,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.410)"
      },
      "parent_node_id": "node_2211",
      "improvement_over_parent": null
    },
    "node_2213": {
      "node_id": "node_2213",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n  Mass: 180.23 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.75e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.233161425832,
      "fos_buckling": 1.2603486332360299,
      "fos_yielding": 3.651658928131349,
      "deflection": 0.00875468828245763,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006280)"
      },
      "parent_node_id": "node_2212",
      "improvement_over_parent": null
    },
    "node_2214": {
      "node_id": "node_2214",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.67876952343312,
      "fos_buckling": 1.5263437093476486,
      "fos_yielding": 4.6055277279837,
      "deflection": 0.006967401613639975,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_2213",
      "improvement_over_parent": null
    },
    "node_2215": {
      "node_id": "node_2215",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2214",
      "improvement_over_parent": null
    },
    "node_2216": {
      "node_id": "node_2216",
      "content": "INITIAL DESIGN (Trace 321)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 126.91 kg\n  Factor of Safety: 0.70\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": 126.9129248946493,
      "fos_buckling": 0.6998429069401291,
      "fos_yielding": 3.342297420398105,
      "deflection": 0.01406766770996203,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2217": {
      "node_id": "node_2217",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 157.46 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.4634028299587,
      "fos_buckling": 0.8416443472775966,
      "fos_yielding": 4.143007581057656,
      "deflection": 0.011377607887217778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_2216",
      "improvement_over_parent": null
    },
    "node_2218": {
      "node_id": "node_2218",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n  Mass: 174.89 kg\n  Factor of Safety: 1.21\n  Max Deflection: 9.25e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.89120069095202,
      "fos_buckling": 1.205792159228605,
      "fos_yielding": 3.715509701084191,
      "deflection": 0.009252180533989652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005383)"
      },
      "parent_node_id": "node_2217",
      "improvement_over_parent": null
    },
    "node_2219": {
      "node_id": "node_2219",
      "content": "MODIFICATION: Increase 0 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n  Mass: 183.24 kg\n  Factor of Safety: 1.28\n  Max Deflection: 8.61e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.2384966390517,
      "fos_buckling": 1.2778664676939564,
      "fos_yielding": 3.7121396306245424,
      "deflection": 0.008614112923748501,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.634)"
      },
      "parent_node_id": "node_2218",
      "improvement_over_parent": null
    },
    "node_2220": {
      "node_id": "node_2220",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.80 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.79536470165763,
      "fos_buckling": 1.5268164561728066,
      "fos_yielding": 4.60783175810273,
      "deflection": 0.006964000021112977,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_2219",
      "improvement_over_parent": null
    },
    "node_2221": {
      "node_id": "node_2221",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2220",
      "improvement_over_parent": null
    },
    "node_2222": {
      "node_id": "node_2222",
      "content": "INITIAL DESIGN (Trace 322)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 145.51 kg\n  Factor of Safety: 0.75\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": 145.50882265673698,
      "fos_buckling": 0.7507906819785173,
      "fos_yielding": 3.3507672020392443,
      "deflection": 0.012260967569070632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2223": {
      "node_id": "node_2223",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 172.21 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.2076287531042,
      "fos_buckling": 0.8651579046308305,
      "fos_yielding": 3.9606329584438527,
      "deflection": 0.010394288397873874,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_2222",
      "improvement_over_parent": null
    },
    "node_2224": {
      "node_id": "node_2224",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n\nPerformance:\n  Mass: 191.12 kg\n  Factor of Safety: 1.30\n  Max Deflection: 8.23e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.12365505614684,
      "fos_buckling": 1.3037347695137467,
      "fos_yielding": 3.9746424688866866,
      "deflection": 0.008231411028345728,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005814)"
      },
      "parent_node_id": "node_2223",
      "improvement_over_parent": null
    },
    "node_2225": {
      "node_id": "node_2225",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 223.37 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.36633309090865,
      "fos_buckling": 1.4799848923443792,
      "fos_yielding": 4.638746602188994,
      "deflection": 0.007069051502296962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_2224",
      "improvement_over_parent": null
    },
    "node_2226": {
      "node_id": "node_2226",
      "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0066)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 224.46 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.45624663498643,
      "fos_buckling": 1.4791916017812725,
      "fos_yielding": 4.639255008389064,
      "deflection": 0.0070153795117873265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.282)"
      },
      "parent_node_id": "node_2225",
      "improvement_over_parent": null
    },
    "node_2227": {
      "node_id": "node_2227",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2226",
      "improvement_over_parent": null
    },
    "node_2228": {
      "node_id": "node_2228",
      "content": "INITIAL DESIGN (Trace 323)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0021)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0032)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0029)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0032)]\n\nPerformance:\n  Mass: 93.61 kg\n  Factor of Safety: 0.69\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": 93.60817588494882,
      "fos_buckling": 0.6851893881231784,
      "fos_yielding": 1.9584708149447105,
      "deflection": 0.01661866232175562,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2229": {
      "node_id": "node_2229",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0025)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n  Mass: 110.32 kg\n  Factor of Safety: 0.80\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": 110.32268751076657,
      "fos_buckling": 0.7985882569052762,
      "fos_yielding": 2.306572087187512,
      "deflection": 0.014127896785853272,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_2228",
      "improvement_over_parent": null
    },
    "node_2230": {
      "node_id": "node_2230",
      "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n  Mass: 112.76 kg\n  Factor of Safety: 0.84\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": 112.76493028463084,
      "fos_buckling": 0.8354304618748267,
      "fos_yielding": 2.2896330356496835,
      "deflection": 0.013886769590523759,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.307)"
      },
      "parent_node_id": "node_2229",
      "improvement_over_parent": null
    },
    "node_2231": {
      "node_id": "node_2231",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 132.61 kg\n  Factor of Safety: 0.97\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": 132.61265680806457,
      "fos_buckling": 0.9661539449679306,
      "fos_yielding": 2.6908175626026325,
      "deflection": 0.011835013366299902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_2230",
      "improvement_over_parent": null
    },
    "node_2232": {
      "node_id": "node_2232",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 154.61 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.608442776048,
      "fos_buckling": 1.1054172772286897,
      "fos_yielding": 3.1347904172799215,
      "deflection": 0.010176590265461385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_2231",
      "improvement_over_parent": null
    },
    "node_2233": {
      "node_id": "node_2233",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 195.24 kg\n  Factor of Safety: 1.35\n  Max Deflection: 8.10e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.24239560748447,
      "fos_buckling": 1.3473221925861663,
      "fos_yielding": 3.953225593326597,
      "deflection": 0.008095668295287024,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_2232",
      "improvement_over_parent": null
    },
    "node_2234": {
      "node_id": "node_2234",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.42 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.41632619978347,
      "fos_buckling": 1.5248697862686318,
      "fos_yielding": 4.5996665871395646,
      "deflection": 0.0069755021428815536,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_2233",
      "improvement_over_parent": null
    },
    "node_2235": {
      "node_id": "node_2235",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2234",
      "improvement_over_parent": null
    },
    "node_2236": {
      "node_id": "node_2236",
      "content": "INITIAL DESIGN (Trace 324)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n\nPerformance:\n  Mass: 109.35 kg\n  Factor of Safety: 0.09\n  Max Deflection: 2.17e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 109.35256492244059,
      "fos_buckling": 0.09305017834740935,
      "fos_yielding": 0.228429708776369,
      "deflection": 216589320450073.56,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2237": {
      "node_id": "node_2237",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n\nPerformance:\n  Mass: 138.27 kg\n  Factor of Safety: 1.41\n  Max Deflection: 2.09e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.27173139767888,
      "fos_buckling": 1.4076337174317248,
      "fos_yielding": 5.146683609538151,
      "deflection": 20854008198305.75,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_2236",
      "improvement_over_parent": null
    },
    "node_2238": {
      "node_id": "node_2238",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 163.39 kg\n  Factor of Safety: 0.59\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": 163.39102637517982,
      "fos_buckling": 0.5949731749692649,
      "fos_yielding": 3.856428691006362,
      "deflection": 0.013678931981519789,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2237",
      "improvement_over_parent": null
    },
    "node_2239": {
      "node_id": "node_2239",
      "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 168.15 kg\n  Factor of Safety: 0.59\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": 168.1513824496413,
      "fos_buckling": 0.5946008172919094,
      "fos_yielding": 3.855827323926791,
      "deflection": 0.013686462069899904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.316)"
      },
      "parent_node_id": "node_2238",
      "improvement_over_parent": null
    },
    "node_2240": {
      "node_id": "node_2240",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 200.93 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.9289771925268,
      "fos_buckling": 0.9812921653636485,
      "fos_yielding": 4.588794619369393,
      "deflection": 0.008813029709969923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_2239",
      "improvement_over_parent": null
    },
    "node_2241": {
      "node_id": "node_2241",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 223.02 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.0201253211871,
      "fos_buckling": 1.4808893021193184,
      "fos_yielding": 4.6047053227436185,
      "deflection": 0.0070719747688321915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2240",
      "improvement_over_parent": null
    },
    "node_2242": {
      "node_id": "node_2242",
      "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0089)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 228.46 kg\n  Factor of Safety: 1.48\n  Max Deflection: 6.98e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.45605153021046,
      "fos_buckling": 1.4785737727788228,
      "fos_yielding": 4.577513788580242,
      "deflection": 0.006983044989432684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.244)"
      },
      "parent_node_id": "node_2241",
      "improvement_over_parent": null
    },
    "node_2243": {
      "node_id": "node_2243",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2242",
      "improvement_over_parent": null
    },
    "node_2244": {
      "node_id": "node_2244",
      "content": "INITIAL DESIGN (Trace 325)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0018)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0026)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n\nPerformance:\n  Mass: 103.64 kg\n  Factor of Safety: 0.66\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": 103.64171729964886,
      "fos_buckling": 0.6614914588191116,
      "fos_yielding": 1.655353697598695,
      "deflection": 0.015216441084778789,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2245": {
      "node_id": "node_2245",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 131.65 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.6489798366037,
      "fos_buckling": 0.8284405480431303,
      "fos_yielding": 2.106041770745787,
      "deflection": 0.012015857386708712,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_2244",
      "improvement_over_parent": null
    },
    "node_2246": {
      "node_id": "node_2246",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 167.66 kg\n  Factor of Safety: 1.04\n  Max Deflection: 9.47e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.6565327447601,
      "fos_buckling": 1.035641485523112,
      "fos_yielding": 2.6880063956106564,
      "deflection": 0.009472071292213837,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_2245",
      "improvement_over_parent": null
    },
    "node_2247": {
      "node_id": "node_2247",
      "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 171.16 kg\n  Factor of Safety: 1.03\n  Max Deflection: 9.35e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.1612152530575,
      "fos_buckling": 1.0295098178787567,
      "fos_yielding": 2.6720916586344132,
      "deflection": 0.009353005052042817,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.236)"
      },
      "parent_node_id": "node_2246",
      "improvement_over_parent": null
    },
    "node_2248": {
      "node_id": "node_2248",
      "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 174.89 kg\n  Factor of Safety: 1.03\n  Max Deflection: 9.10e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.8944757645392,
      "fos_buckling": 1.0291447990801807,
      "fos_yielding": 2.6711442527233853,
      "deflection": 0.009101465826337909,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.224)"
      },
      "parent_node_id": "node_2247",
      "improvement_over_parent": null
    },
    "node_2249": {
      "node_id": "node_2249",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n\nPerformance:\n  Mass: 226.70 kg\n  Factor of Safety: 1.30\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.69562944908793,
      "fos_buckling": 1.3003761752521596,
      "fos_yielding": 3.477103113657067,
      "deflection": 0.0070607569104098765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_2248",
      "improvement_over_parent": null
    },
    "node_2250": {
      "node_id": "node_2250",
      "content": "MODIFICATION: Increase 6 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n\nPerformance:\n  Mass: 227.95 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.95465378276484,
      "fos_buckling": 1.52763960537922,
      "fos_yielding": 4.6087578809979295,
      "deflection": 0.006959442426515617,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.366)"
      },
      "parent_node_id": "node_2249",
      "improvement_over_parent": null
    },
    "node_2251": {
      "node_id": "node_2251",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2250",
      "improvement_over_parent": null
    },
    "node_2252": {
      "node_id": "node_2252",
      "content": "INITIAL DESIGN (Trace 326)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 125.74 kg\n  Factor of Safety: 0.72\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": 125.74186734528674,
      "fos_buckling": 0.715974670993429,
      "fos_yielding": 3.520364183270504,
      "deflection": 0.015553659293827429,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2253": {
      "node_id": "node_2253",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 154.88 kg\n  Factor of Safety: 0.85\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": 154.87742548123285,
      "fos_buckling": 0.854868098323462,
      "fos_yielding": 4.33425376413972,
      "deflection": 0.01267965130037274,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_2252",
      "improvement_over_parent": null
    },
    "node_2254": {
      "node_id": "node_2254",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 183.79 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.7866229713341,
      "fos_buckling": 0.9828732337262541,
      "fos_yielding": 5.141148198238828,
      "deflection": 0.010728609053898368,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_2253",
      "improvement_over_parent": null
    },
    "node_2255": {
      "node_id": "node_2255",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 205.88 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.87777109999442,
      "fos_buckling": 1.003338043022088,
      "fos_yielding": 5.141148198238829,
      "deflection": 0.008718619432805287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2254",
      "improvement_over_parent": null
    },
    "node_2256": {
      "node_id": "node_2256",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.53706737684183,
      "fos_buckling": 1.5254434432197415,
      "fos_yielding": 4.601805811527452,
      "deflection": 0.006972025917468838,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_2255",
      "improvement_over_parent": null
    },
    "node_2257": {
      "node_id": "node_2257",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2256",
      "improvement_over_parent": null
    },
    "node_2258": {
      "node_id": "node_2258",
      "content": "INITIAL DESIGN (Trace 327)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 158.73 kg\n  Factor of Safety: 0.83\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": 158.72959999671002,
      "fos_buckling": 0.829545175286493,
      "fos_yielding": 3.666169496329398,
      "deflection": 0.011400698199146138,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2259": {
      "node_id": "node_2259",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 195.29 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.30e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.2882911272567,
      "fos_buckling": 0.9821353462548128,
      "fos_yielding": 4.502719176583475,
      "deflection": 0.009304327155084143,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_2258",
      "improvement_over_parent": null
    },
    "node_2260": {
      "node_id": "node_2260",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 217.38 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.37943925591702,
      "fos_buckling": 1.4394431831742704,
      "fos_yielding": 4.5168928356462255,
      "deflection": 0.007482490475317792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2259",
      "improvement_over_parent": null
    },
    "node_2261": {
      "node_id": "node_2261",
      "content": "MODIFICATION: Increase 1 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.70193523346305,
      "fos_buckling": 1.5266425955135678,
      "fos_yielding": 4.605982796020858,
      "deflection": 0.006966898375686001,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.631)"
      },
      "parent_node_id": "node_2260",
      "improvement_over_parent": null
    },
    "node_2262": {
      "node_id": "node_2262",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2261",
      "improvement_over_parent": null
    },
    "node_2263": {
      "node_id": "node_2263",
      "content": "INITIAL DESIGN (Trace 328)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 155.47 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.46575754296637,
      "fos_buckling": 0.8338858994895983,
      "fos_yielding": 3.070145526969706,
      "deflection": 0.011685332317418338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2264": {
      "node_id": "node_2264",
      "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 159.75 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.74626925704356,
      "fos_buckling": 0.8334162908651805,
      "fos_yielding": 3.070145526969706,
      "deflection": 0.010946429779577684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.252)"
      },
      "parent_node_id": "node_2263",
      "improvement_over_parent": null
    },
    "node_2265": {
      "node_id": "node_2265",
      "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 160.75 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.7549647950656,
      "fos_buckling": 0.8334162908651805,
      "fos_yielding": 3.6065139873036736,
      "deflection": 0.010946429779577684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.361)"
      },
      "parent_node_id": "node_2264",
      "improvement_over_parent": null
    },
    "node_2266": {
      "node_id": "node_2266",
      "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 161.29 kg\n  Factor of Safety: 0.83\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": 161.2925230832945,
      "fos_buckling": 0.8334162908651805,
      "fos_yielding": 4.102311236213376,
      "deflection": 0.010882926821314299,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.196)"
      },
      "parent_node_id": "node_2265",
      "improvement_over_parent": null
    },
    "node_2267": {
      "node_id": "node_2267",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 181.30 kg\n  Factor of Safety: 1.27\n  Max Deflection: 8.70e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.29658927153585,
      "fos_buckling": 1.2663183518100707,
      "fos_yielding": 3.6749351016109197,
      "deflection": 0.008704324036620262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005564)"
      },
      "parent_node_id": "node_2266",
      "improvement_over_parent": null
    },
    "node_2268": {
      "node_id": "node_2268",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.53700251629144,
      "fos_buckling": 1.525263294927618,
      "fos_yielding": 4.6049636493613875,
      "deflection": 0.006971587776813945,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_2267",
      "improvement_over_parent": null
    },
    "node_2269": {
      "node_id": "node_2269",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2268",
      "improvement_over_parent": null
    },
    "node_2270": {
      "node_id": "node_2270",
      "content": "INITIAL DESIGN (Trace 329)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 163.42 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.42357223436903,
      "fos_buckling": 0.8381532955822832,
      "fos_yielding": 3.7902395208412876,
      "deflection": 0.01067488602363373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2271": {
      "node_id": "node_2271",
      "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 166.01 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.00594580675187,
      "fos_buckling": 0.8378686889832297,
      "fos_yielding": 3.7900845876065596,
      "deflection": 0.01067839802126641,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.178)"
      },
      "parent_node_id": "node_2270",
      "improvement_over_parent": null
    },
    "node_2272": {
      "node_id": "node_2272",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 201.54 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.83e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.53774803299325,
      "fos_buckling": 0.9813998871044965,
      "fos_yielding": 4.595051302314204,
      "deflection": 0.008833258891601284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_2271",
      "improvement_over_parent": null
    },
    "node_2273": {
      "node_id": "node_2273",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.15 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.15427694228785,
      "fos_buckling": 1.48712552203407,
      "fos_yielding": 4.6164564782648965,
      "deflection": 0.007045652004396139,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_2272",
      "improvement_over_parent": null
    },
    "node_2274": {
      "node_id": "node_2274",
      "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.72113149496332,
      "fos_buckling": 1.526479227117631,
      "fos_yielding": 4.606044268039484,
      "deflection": 0.006966261165463921,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.342)"
      },
      "parent_node_id": "node_2273",
      "improvement_over_parent": null
    },
    "node_2275": {
      "node_id": "node_2275",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2274",
      "improvement_over_parent": null
    },
    "node_2276": {
      "node_id": "node_2276",
      "content": "INITIAL DESIGN (Trace 330)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2277": {
      "node_id": "node_2277",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 180.36 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.35593958565227,
      "fos_buckling": 0.9837286148880408,
      "fos_yielding": 5.143770618251928,
      "deflection": 0.01071176497942438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2276",
      "improvement_over_parent": null
    },
    "node_2278": {
      "node_id": "node_2278",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 202.02 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.0152358624997,
      "fos_buckling": 0.9809398376807867,
      "fos_yielding": 4.58780566902126,
      "deflection": 0.00881729947182881,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_2277",
      "improvement_over_parent": null
    },
    "node_2279": {
      "node_id": "node_2279",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6317647717943,
      "fos_buckling": 1.5259802323177476,
      "fos_yielding": 4.604198472119851,
      "deflection": 0.00696899371582389,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_2278",
      "improvement_over_parent": null
    },
    "node_2280": {
      "node_id": "node_2280",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2279",
      "improvement_over_parent": null
    },
    "node_2281": {
      "node_id": "node_2281",
      "content": "INITIAL DESIGN (Trace 331)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n\nPerformance:\n  Mass: 86.00 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.26e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 85.99907226154586,
      "fos_buckling": 0.34497121072702075,
      "fos_yielding": 1.977141886523503,
      "deflection": 0.032555328852625263,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2282": {
      "node_id": "node_2282",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n\nPerformance:\n  Mass: 98.97 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.83e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 98.97433733743942,
      "fos_buckling": 0.39110363995543196,
      "fos_yielding": 2.274324829745187,
      "deflection": 0.028327909792115354,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_2281",
      "improvement_over_parent": null
    },
    "node_2283": {
      "node_id": "node_2283",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n\nPerformance:\n  Mass: 118.70 kg\n  Factor of Safety: 0.39\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": 118.69934924899292,
      "fos_buckling": 0.39008315241888036,
      "fos_yielding": 2.3551709296952947,
      "deflection": 0.019682855656755895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004749)"
      },
      "parent_node_id": "node_2282",
      "improvement_over_parent": null
    },
    "node_2284": {
      "node_id": "node_2284",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n\nPerformance:\n  Mass: 139.87 kg\n  Factor of Safety: 0.45\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": 139.87155054333357,
      "fos_buckling": 0.45003185486680264,
      "fos_yielding": 2.7723717906866887,
      "deflection": 0.016742976904647672,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_2283",
      "improvement_over_parent": null
    },
    "node_2285": {
      "node_id": "node_2285",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n\nPerformance:\n  Mass: 158.72 kg\n  Factor of Safety: 0.50\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": 158.71724312463368,
      "fos_buckling": 0.5009901142996928,
      "fos_yielding": 3.142998912391556,
      "deflection": 0.014785936999330968,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_2284",
      "improvement_over_parent": null
    },
    "node_2286": {
      "node_id": "node_2286",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 185.42 kg\n  Factor of Safety: 1.29\n  Max Deflection: 8.52e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.41990162458956,
      "fos_buckling": 1.2907521038627205,
      "fos_yielding": 3.756024918973665,
      "deflection": 0.008515046771087881,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006513)"
      },
      "parent_node_id": "node_2285",
      "improvement_over_parent": null
    },
    "node_2287": {
      "node_id": "node_2287",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.635930922397,
      "fos_buckling": 1.526132718134535,
      "fos_yielding": 4.604595800852817,
      "deflection": 0.0069688986484364775,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_2286",
      "improvement_over_parent": null
    },
    "node_2288": {
      "node_id": "node_2288",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2287",
      "improvement_over_parent": null
    },
    "node_2289": {
      "node_id": "node_2289",
      "content": "INITIAL DESIGN (Trace 332)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n\nPerformance:\n  Mass: 108.05 kg\n  Factor of Safety: 0.65\n  Max Deflection: 4.30e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 108.051339171465,
      "fos_buckling": 0.6536178868188833,
      "fos_yielding": 3.859866326958068,
      "deflection": 42971005630634.51,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2290": {
      "node_id": "node_2290",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n  Mass: 132.62 kg\n  Factor of Safety: 0.78\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": 132.623404894366,
      "fos_buckling": 0.7754971325759306,
      "fos_yielding": 3.859866326958068,
      "deflection": 0.014188146641747187,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005957)"
      },
      "parent_node_id": "node_2289",
      "improvement_over_parent": null
    },
    "node_2291": {
      "node_id": "node_2291",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n  Mass: 151.45 kg\n  Factor of Safety: 0.77\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": 151.45457405742786,
      "fos_buckling": 0.7735734440204723,
      "fos_yielding": 3.4459329767095914,
      "deflection": 0.01168904680247593,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005215)"
      },
      "parent_node_id": "node_2290",
      "improvement_over_parent": null
    },
    "node_2292": {
      "node_id": "node_2292",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n  Mass: 181.86 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.77e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.8596665505556,
      "fos_buckling": 0.9012645109574455,
      "fos_yielding": 4.133148948071723,
      "deflection": 0.009770666506362507,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_2291",
      "improvement_over_parent": null
    },
    "node_2293": {
      "node_id": "node_2293",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n  Mass: 201.55 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.81e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.54608137367302,
      "fos_buckling": 1.3695494324213247,
      "fos_yielding": 4.14757186546758,
      "deflection": 0.007812281335467301,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005408)"
      },
      "parent_node_id": "node_2292",
      "improvement_over_parent": null
    },
    "node_2294": {
      "node_id": "node_2294",
      "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0086)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n  Mass: 206.51 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.63e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.51175007222395,
      "fos_buckling": 1.3702846563831632,
      "fos_yielding": 4.173372508397045,
      "deflection": 0.007634545008048834,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.186)"
      },
      "parent_node_id": "node_2293",
      "improvement_over_parent": null
    },
    "node_2295": {
      "node_id": "node_2295",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0096)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n  Mass: 229.21 kg\n  Factor of Safety: 1.49\n  Max Deflection: 6.90e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.21119303864901,
      "fos_buckling": 1.4909652304690757,
      "fos_yielding": 4.629081272420729,
      "deflection": 0.00689603129369119,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_2294",
      "improvement_over_parent": null
    },
    "node_2296": {
      "node_id": "node_2296",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2295",
      "improvement_over_parent": null
    },
    "node_2297": {
      "node_id": "node_2297",
      "content": "INITIAL DESIGN (Trace 333)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_2298": {
      "node_id": "node_2298",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 129.71 kg\n  Factor of Safety: 0.35\n  Max Deflection: 4.92e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.70831089325472,
      "fos_buckling": 0.3503581963434849,
      "fos_yielding": 2.5603579955148628,
      "deflection": 49218191855914.16,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005521)"
      },
      "parent_node_id": "node_2297",
      "improvement_over_parent": null
    },
    "node_2299": {
      "node_id": "node_2299",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n  Mass: 131.59 kg\n  Factor of Safety: 1.37\n  Max Deflection: 2.46e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.5936871390864,
      "fos_buckling": 1.3716527481628242,
      "fos_yielding": 1.8274376702109523,
      "deflection": 24558088874532.78,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002934)"
      },
      "parent_node_id": "node_2298",
      "improvement_over_parent": null
    },
    "node_2300": {
      "node_id": "node_2300",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n  Mass: 157.21 kg\n  Factor of Safety: 0.81\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": 157.2072993236293,
      "fos_buckling": 0.809480767006821,
      "fos_yielding": 3.650164458070822,
      "deflection": 0.011191940300513945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006270)"
      },
      "parent_node_id": "node_2299",
      "improvement_over_parent": null
    },
    "node_2301": {
      "node_id": "node_2301",
      "content": "MODIFICATION: Increase 3 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n  Mass: 159.72 kg\n  Factor of Safety: 0.81\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": 159.72488807816205,
      "fos_buckling": 0.8092125957935757,
      "fos_yielding": 3.6330382267955534,
      "deflection": 0.011094851825561145,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.185)"
      },
      "parent_node_id": "node_2300",
      "improvement_over_parent": null
    },
    "node_2302": {
      "node_id": "node_2302",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 201.92 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.9207858801764,
      "fos_buckling": 0.9806012682256887,
      "fos_yielding": 4.585776344889071,
      "deflection": 0.008821217798224831,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_2301",
      "improvement_over_parent": null
    },
    "node_2303": {
      "node_id": "node_2303",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.537314789471,
      "fos_buckling": 1.525389168674894,
      "fos_yielding": 4.602164989281729,
      "deflection": 0.006971914143520368,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_2302",
      "improvement_over_parent": null
    },
    "node_2304": {
      "node_id": "node_2304",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2303",
      "improvement_over_parent": null
    },
    "node_2305": {
      "node_id": "node_2305",
      "content": "INITIAL DESIGN (Trace 334)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n  Mass: 157.38 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.3823180023099,
      "fos_buckling": 0.8877912698451,
      "fos_yielding": 3.948886135981038,
      "deflection": 0.011526870151795937,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2306": {
      "node_id": "node_2306",
      "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n  Mass: 161.10 kg\n  Factor of Safety: 0.89\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": 161.10059723643693,
      "fos_buckling": 0.8873569283997034,
      "fos_yielding": 3.9485817574916777,
      "deflection": 0.01101451390130834,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.193)"
      },
      "parent_node_id": "node_2305",
      "improvement_over_parent": null
    },
    "node_2307": {
      "node_id": "node_2307",
      "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n  Mass: 166.35 kg\n  Factor of Safety: 0.89\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": 166.35387032249122,
      "fos_buckling": 0.8867440043822824,
      "fos_yielding": 3.9765301297657447,
      "deflection": 0.010789565445643941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.290)"
      },
      "parent_node_id": "node_2306",
      "improvement_over_parent": null
    },
    "node_2308": {
      "node_id": "node_2308",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 188.91 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.53e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.90698517714387,
      "fos_buckling": 0.9823102965501753,
      "fos_yielding": 4.509205777763512,
      "deflection": 0.009525466489469659,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_2307",
      "improvement_over_parent": null
    },
    "node_2309": {
      "node_id": "node_2309",
      "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 192.87 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.28e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.87134164746348,
      "fos_buckling": 0.9817999848893669,
      "fos_yielding": 4.54872384147011,
      "deflection": 0.00928130712125384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.211)"
      },
      "parent_node_id": "node_2308",
      "improvement_over_parent": null
    },
    "node_2310": {
      "node_id": "node_2310",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 214.96 kg\n  Factor of Safety: 1.23\n  Max Deflection: 7.44e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.9624897761238,
      "fos_buckling": 1.2302974682013372,
      "fos_yielding": 4.563184358641149,
      "deflection": 0.007443915758316598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2309",
      "improvement_over_parent": null
    },
    "node_2311": {
      "node_id": "node_2311",
      "content": "MODIFICATION: Increase 10 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0096)]\n\nPerformance:\n  Mass: 222.69 kg\n  Factor of Safety: 1.23\n  Max Deflection: 7.32e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.69272339968364,
      "fos_buckling": 1.2275145256712525,
      "fos_yielding": 4.563737647755915,
      "deflection": 0.0073212677355603715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.401)"
      },
      "parent_node_id": "node_2310",
      "improvement_over_parent": null
    },
    "node_2312": {
      "node_id": "node_2312",
      "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0096)]\n\nPerformance:\n  Mass: 227.04 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.10e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.0420812217151,
      "fos_buckling": 1.3596850628120378,
      "fos_yielding": 4.598936688603138,
      "deflection": 0.007103022686803834,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.196)"
      },
      "parent_node_id": "node_2311",
      "improvement_over_parent": null
    },
    "node_2313": {
      "node_id": "node_2313",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2312",
      "improvement_over_parent": null
    },
    "node_2314": {
      "node_id": "node_2314",
      "content": "INITIAL DESIGN (Trace 335)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n\nPerformance:\n  Mass: 129.62 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.84e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.6233110661693,
      "fos_buckling": 0.4225025406666698,
      "fos_yielding": 2.578175833469782,
      "deflection": 0.018420828294642387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2315": {
      "node_id": "node_2315",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 151.49 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.49303485944824,
      "fos_buckling": 1.020987859839276,
      "fos_yielding": 3.087496427406875,
      "deflection": 0.010482476895691916,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005262)"
      },
      "parent_node_id": "node_2314",
      "improvement_over_parent": null
    },
    "node_2316": {
      "node_id": "node_2316",
      "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 151.89 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.88916836300794,
      "fos_buckling": 1.088467154749933,
      "fos_yielding": 3.0800918850683283,
      "deflection": 0.010355373786107543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.351)"
      },
      "parent_node_id": "node_2315",
      "improvement_over_parent": null
    },
    "node_2317": {
      "node_id": "node_2317",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 176.27 kg\n  Factor of Safety: 1.24\n  Max Deflection: 8.95e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.2706514340783,
      "fos_buckling": 1.2367894154845152,
      "fos_yielding": 3.5715589569601223,
      "deflection": 0.008947650870675648,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_2316",
      "improvement_over_parent": null
    },
    "node_2318": {
      "node_id": "node_2318",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.50 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5024269503165,
      "fos_buckling": 1.5252590665186097,
      "fos_yielding": 4.6016157327443326,
      "deflection": 0.006972786745774992,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_2317",
      "improvement_over_parent": null
    },
    "node_2319": {
      "node_id": "node_2319",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2318",
      "improvement_over_parent": null
    },
    "node_2320": {
      "node_id": "node_2320",
      "content": "INITIAL DESIGN (Trace 336)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0023)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n  Mass: 103.31 kg\n  Factor of Safety: 0.36\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": 103.3129876006406,
      "fos_buckling": 0.3627782075331795,
      "fos_yielding": 2.169627266945755,
      "deflection": 0.02239487676128786,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2321": {
      "node_id": "node_2321",
      "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n  Mass: 108.86 kg\n  Factor of Safety: 0.36\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": 108.86431148938061,
      "fos_buckling": 0.36251145677153,
      "fos_yielding": 2.16923139746688,
      "deflection": 0.022031397195336967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.661)"
      },
      "parent_node_id": "node_2320",
      "improvement_over_parent": null
    },
    "node_2322": {
      "node_id": "node_2322",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 126.05 kg\n  Factor of Safety: 0.41\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": 126.05118435491079,
      "fos_buckling": 0.4126220452584089,
      "fos_yielding": 2.509521858765204,
      "deflection": 0.019058593075704948,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_2321",
      "improvement_over_parent": null
    },
    "node_2323": {
      "node_id": "node_2323",
      "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 126.52 kg\n  Factor of Safety: 0.41\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": 126.52048289137801,
      "fos_buckling": 0.41257086560801004,
      "fos_yielding": 2.5094445086886727,
      "deflection": 0.018481950495578423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.460)"
      },
      "parent_node_id": "node_2322",
      "improvement_over_parent": null
    },
    "node_2324": {
      "node_id": "node_2324",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 157.01 kg\n  Factor of Safety: 0.50\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": 157.0107160558181,
      "fos_buckling": 0.4964778828352425,
      "fos_yielding": 3.1095341294655032,
      "deflection": 0.01494357180905818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_2323",
      "improvement_over_parent": null
    },
    "node_2325": {
      "node_id": "node_2325",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 183.41 kg\n  Factor of Safety: 1.28\n  Max Deflection: 8.61e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.41234113727978,
      "fos_buckling": 1.2786773428707674,
      "fos_yielding": 3.7158916699021134,
      "deflection": 0.008606140514076925,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006434)"
      },
      "parent_node_id": "node_2324",
      "improvement_over_parent": null
    },
    "node_2326": {
      "node_id": "node_2326",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.84 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.84312965245093,
      "fos_buckling": 1.5268519298122554,
      "fos_yielding": 4.609094340316825,
      "deflection": 0.006962595710584185,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_2325",
      "improvement_over_parent": null
    },
    "node_2327": {
      "node_id": "node_2327",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2326",
      "improvement_over_parent": null
    },
    "node_2328": {
      "node_id": "node_2328",
      "content": "INITIAL DESIGN (Trace 337)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 114.49 kg\n  Factor of Safety: 0.69\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": 114.49069649946992,
      "fos_buckling": 0.6891796792920517,
      "fos_yielding": 2.129635718715092,
      "deflection": 0.01622622422054003,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2329": {
      "node_id": "node_2329",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 135.34 kg\n  Factor of Safety: 0.80\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": 135.3414738384692,
      "fos_buckling": 0.7960347755552034,
      "fos_yielding": 2.527505930883676,
      "deflection": 0.013766497864625155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_2328",
      "improvement_over_parent": null
    },
    "node_2330": {
      "node_id": "node_2330",
      "content": "MODIFICATION: Increase 6 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 136.76 kg\n  Factor of Safety: 0.80\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": 136.76254300127587,
      "fos_buckling": 0.7960347755552034,
      "fos_yielding": 3.981786876598167,
      "deflection": 0.013766497864625155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.616)"
      },
      "parent_node_id": "node_2329",
      "improvement_over_parent": null
    },
    "node_2331": {
      "node_id": "node_2331",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 152.44 kg\n  Factor of Safety: 0.87\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": 152.4388252370342,
      "fos_buckling": 0.8719256622993904,
      "fos_yielding": 4.437258651682562,
      "deflection": 0.012376852268950227,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_2330",
      "improvement_over_parent": null
    },
    "node_2332": {
      "node_id": "node_2332",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n\nPerformance:\n  Mass: 167.75 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.75496533058757,
      "fos_buckling": 0.8701700867660245,
      "fos_yielding": 4.005540925133516,
      "deflection": 0.010417092999150432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004188)"
      },
      "parent_node_id": "node_2331",
      "improvement_over_parent": null
    },
    "node_2333": {
      "node_id": "node_2333",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n  Mass: 189.83 kg\n  Factor of Safety: 1.28\n  Max Deflection: 8.26e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.82726707184565,
      "fos_buckling": 1.2837986613110643,
      "fos_yielding": 4.018743779712494,
      "deflection": 0.00826468015538289,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006117)"
      },
      "parent_node_id": "node_2332",
      "improvement_over_parent": null
    },
    "node_2334": {
      "node_id": "node_2334",
      "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n  Mass: 196.16 kg\n  Factor of Safety: 1.35\n  Max Deflection: 8.06e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.16338846843595,
      "fos_buckling": 1.3526257697987913,
      "fos_yielding": 3.973473652932476,
      "deflection": 0.008058403652861118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.447)"
      },
      "parent_node_id": "node_2333",
      "improvement_over_parent": null
    },
    "node_2335": {
      "node_id": "node_2335",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.59229914118185,
      "fos_buckling": 1.5258626971215024,
      "fos_yielding": 4.605164158550612,
      "deflection": 0.0069701692941766535,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_2334",
      "improvement_over_parent": null
    },
    "node_2336": {
      "node_id": "node_2336",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2335",
      "improvement_over_parent": null
    },
    "node_2337": {
      "node_id": "node_2337",
      "content": "INITIAL DESIGN (Trace 338)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n  Mass: 79.31 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.67e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 79.31170913166957,
      "fos_buckling": 0.3367607633001848,
      "fos_yielding": 1.827437670210952,
      "deflection": 26662136944792.14,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2338": {
      "node_id": "node_2338",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 99.25 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.68e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 99.24536596222244,
      "fos_buckling": 0.658804115212934,
      "fos_yielding": 3.224680040801396,
      "deflection": 16839046447972.447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_2337",
      "improvement_over_parent": null
    },
    "node_2339": {
      "node_id": "node_2339",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n\nPerformance:\n  Mass: 113.44 kg\n  Factor of Safety: 1.18\n  Max Deflection: 2.25e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.44163741652235,
      "fos_buckling": 1.175043783484369,
      "fos_yielding": 3.4187410612461715,
      "deflection": 22490273942202.316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004325)"
      },
      "parent_node_id": "node_2338",
      "improvement_over_parent": null
    },
    "node_2340": {
      "node_id": "node_2340",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n  Mass: 134.19 kg\n  Factor of Safety: 0.16\n  Max Deflection: 6.67e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.19264932605566,
      "fos_buckling": 0.1613501151797806,
      "fos_yielding": 0.9137188351054761,
      "deflection": 66710493780835.39,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_2339",
      "improvement_over_parent": null
    },
    "node_2341": {
      "node_id": "node_2341",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n\nPerformance:\n  Mass: 159.31 kg\n  Factor of Safety: 0.80\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": 159.30727981955326,
      "fos_buckling": 0.7956041804619135,
      "fos_yielding": 3.5609498178885968,
      "deflection": 0.01131602867978352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006139)"
      },
      "parent_node_id": "node_2340",
      "improvement_over_parent": null
    },
    "node_2342": {
      "node_id": "node_2342",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n\nPerformance:\n  Mass: 185.12 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.77e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.12087348110379,
      "fos_buckling": 0.9014326132372205,
      "fos_yielding": 4.134080633348495,
      "deflection": 0.009768416545689561,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_2341",
      "improvement_over_parent": null
    },
    "node_2343": {
      "node_id": "node_2343",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n  Mass: 205.04 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.72e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.03660389187792,
      "fos_buckling": 1.4024732031294442,
      "fos_yielding": 4.1494999332728675,
      "deflection": 0.0077176706955764274,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006148)"
      },
      "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 (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.43 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.4281557309216,
      "fos_buckling": 1.5247238658067974,
      "fos_yielding": 4.599180512156037,
      "deflection": 0.0069753419809402695,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_2343",
      "improvement_over_parent": null
    },
    "node_2345": {
      "node_id": "node_2345",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2344",
      "improvement_over_parent": null
    },
    "node_2346": {
      "node_id": "node_2346",
      "content": "INITIAL DESIGN (Trace 339)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, 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_2347": {
      "node_id": "node_2347",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 128.43 kg\n  Factor of Safety: 0.39\n  Max Deflection: 5.31e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.4264339431081,
      "fos_buckling": 0.38904700914657714,
      "fos_yielding": 4.310578291339935,
      "deflection": 53087414347795.734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007202)"
      },
      "parent_node_id": "node_2346",
      "improvement_over_parent": null
    },
    "node_2348": {
      "node_id": "node_2348",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n  Mass: 150.88 kg\n  Factor of Safety: 0.33\n  Max Deflection: 3.28e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.88120371973557,
      "fos_buckling": 0.3338767897771949,
      "fos_yielding": 1.8274376702109523,
      "deflection": 32794019475935.4,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006304)"
      },
      "parent_node_id": "node_2347",
      "improvement_over_parent": null
    },
    "node_2349": {
      "node_id": "node_2349",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n  Mass: 173.78 kg\n  Factor of Safety: 0.56\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": 173.78069846749815,
      "fos_buckling": 0.5628743923346087,
      "fos_yielding": 3.325691824086258,
      "deflection": 0.013804931955804754,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006366)"
      },
      "parent_node_id": "node_2348",
      "improvement_over_parent": null
    },
    "node_2350": {
      "node_id": "node_2350",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 194.35 kg\n  Factor of Safety: 0.62\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": 194.34656498857117,
      "fos_buckling": 0.6160885174731331,
      "fos_yielding": 3.731751019593508,
      "deflection": 0.012366605024805443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_2349",
      "improvement_over_parent": null
    },
    "node_2351": {
      "node_id": "node_2351",
      "content": "MODIFICATION: Increase 5 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 195.19 kg\n  Factor of Safety: 0.62\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": 195.1894711036781,
      "fos_buckling": 0.6159524561678907,
      "fos_yielding": 4.260411021258963,
      "deflection": 0.011904678558738177,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.600)"
      },
      "parent_node_id": "node_2350",
      "improvement_over_parent": null
    },
    "node_2352": {
      "node_id": "node_2352",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5830907437964,
      "fos_buckling": 1.5257047073167789,
      "fos_yielding": 4.603144447561365,
      "deflection": 0.0069704869217233085,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_2351",
      "improvement_over_parent": null
    },
    "node_2353": {
      "node_id": "node_2353",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2352",
      "improvement_over_parent": null
    },
    "node_2354": {
      "node_id": "node_2354",
      "content": "INITIAL DESIGN (Trace 340)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n\nPerformance:\n  Mass: 92.83 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.02e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 92.82637763925908,
      "fos_buckling": 0.33773117037600053,
      "fos_yielding": 1.8274376702109523,
      "deflection": 20236562787480.395,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2355": {
      "node_id": "node_2355",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 114.59 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.08e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 114.59024167437273,
      "fos_buckling": 0.6754623407520011,
      "fos_yielding": 3.524597120096131,
      "deflection": 10754757573843.643,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005235)"
      },
      "parent_node_id": "node_2354",
      "improvement_over_parent": null
    },
    "node_2356": {
      "node_id": "node_2356",
      "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 114.97 kg\n  Factor of Safety: 1.11\n  Max Deflection: 4.41e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 114.9663678669702,
      "fos_buckling": 1.110068685219872,
      "fos_yielding": 0.9137188351054761,
      "deflection": 44060047581162.65,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.330)"
      },
      "parent_node_id": "node_2355",
      "improvement_over_parent": null
    },
    "node_2357": {
      "node_id": "node_2357",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 133.00 kg\n  Factor of Safety: 1.47\n  Max Deflection: 1.50e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.0032394157236,
      "fos_buckling": 1.4683112217038798,
      "fos_yielding": 3.9380282632867654,
      "deflection": 15037962679243.74,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_2356",
      "improvement_over_parent": null
    },
    "node_2358": {
      "node_id": "node_2358",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n\nPerformance:\n  Mass: 157.88 kg\n  Factor of Safety: 0.79\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": 157.8849929403334,
      "fos_buckling": 0.7893516866203987,
      "fos_yielding": 3.5297668673517526,
      "deflection": 0.011416641875727902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006078)"
      },
      "parent_node_id": "node_2357",
      "improvement_over_parent": null
    },
    "node_2359": {
      "node_id": "node_2359",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n\nPerformance:\n  Mass: 174.85 kg\n  Factor of Safety: 1.23\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.85289240183056,
      "fos_buckling": 1.2284113511802108,
      "fos_yielding": 3.5430462066033157,
      "deflection": 0.009018857343014493,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005172)"
      },
      "parent_node_id": "node_2358",
      "improvement_over_parent": null
    },
    "node_2360": {
      "node_id": "node_2360",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7406934970146,
      "fos_buckling": 1.5265831982437463,
      "fos_yielding": 4.606452623945332,
      "deflection": 0.006965751696235994,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_2359",
      "improvement_over_parent": null
    },
    "node_2361": {
      "node_id": "node_2361",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2360",
      "improvement_over_parent": null
    },
    "node_2362": {
      "node_id": "node_2362",
      "content": "INITIAL DESIGN (Trace 341)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n  Mass: 117.99 kg\n  Factor of Safety: 0.40\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": 117.98809835777777,
      "fos_buckling": 0.40067463083131255,
      "fos_yielding": 2.4262928741674172,
      "deflection": 0.019569337526756166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2363": {
      "node_id": "node_2363",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n  Mass: 144.39 kg\n  Factor of Safety: 0.48\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": 144.387296928491,
      "fos_buckling": 0.4769172660578449,
      "fos_yielding": 2.964079758394358,
      "deflection": 0.016039761303877284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_2362",
      "improvement_over_parent": null
    },
    "node_2364": {
      "node_id": "node_2364",
      "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n  Mass: 149.60 kg\n  Factor of Safety: 0.48\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": 149.60252198879508,
      "fos_buckling": 0.4765895433091647,
      "fos_yielding": 2.9635726958970277,
      "deflection": 0.01567147006016378,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.284)"
      },
      "parent_node_id": "node_2363",
      "improvement_over_parent": null
    },
    "node_2365": {
      "node_id": "node_2365",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 194.86 kg\n  Factor of Safety: 0.59\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": 194.85529060875527,
      "fos_buckling": 0.592394888694118,
      "fos_yielding": 3.851462860793587,
      "deflection": 0.012092546726611636,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_2364",
      "improvement_over_parent": null
    },
    "node_2366": {
      "node_id": "node_2366",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63288535164077,
      "fos_buckling": 1.5259851028492648,
      "fos_yielding": 4.60422634007454,
      "deflection": 0.006968949562293042,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_2365",
      "improvement_over_parent": null
    },
    "node_2367": {
      "node_id": "node_2367",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2366",
      "improvement_over_parent": null
    },
    "node_2368": {
      "node_id": "node_2368",
      "content": "INITIAL DESIGN (Trace 342)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 163.75 kg\n  Factor of Safety: 0.92\n  Max Deflection: 3.63e+11 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.7496751865838,
      "fos_buckling": 0.9170675709237242,
      "fos_yielding": 4.6400317644701214,
      "deflection": 362519955523.6713,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2369": {
      "node_id": "node_2369",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n  Mass: 165.90 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.9012014799333,
      "fos_buckling": 0.9048265980968329,
      "fos_yielding": 4.642023032094928,
      "deflection": 0.011855460671802404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003384)"
      },
      "parent_node_id": "node_2368",
      "improvement_over_parent": null
    },
    "node_2370": {
      "node_id": "node_2370",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n\nPerformance:\n  Mass: 185.83 kg\n  Factor of Safety: 0.92\n  Max Deflection: 9.64e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.83182572771523,
      "fos_buckling": 0.9239220540695613,
      "fos_yielding": 4.642023032094929,
      "deflection": 0.009635499372495119,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006153)"
      },
      "parent_node_id": "node_2369",
      "improvement_over_parent": null
    },
    "node_2371": {
      "node_id": "node_2371",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n\nPerformance:\n  Mass: 205.38 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.70e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.37505968022205,
      "fos_buckling": 1.4045307205238013,
      "fos_yielding": 4.157141013819857,
      "deflection": 0.007704956780331266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006093)"
      },
      "parent_node_id": "node_2370",
      "improvement_over_parent": null
    },
    "node_2372": {
      "node_id": "node_2372",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.61437290156334,
      "fos_buckling": 1.5258873709024943,
      "fos_yielding": 4.603835928887161,
      "deflection": 0.006969523054828346,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_2371",
      "improvement_over_parent": null
    },
    "node_2373": {
      "node_id": "node_2373",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 343)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0026)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 117.00 kg\n  Factor of Safety: 0.65\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": 116.9986433614512,
      "fos_buckling": 0.6466354094625644,
      "fos_yielding": 1.8551284254983103,
      "deflection": 0.01491667216137643,
      "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 3 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 121.36 kg\n  Factor of Safety: 0.65\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": 121.35885310437578,
      "fos_buckling": 0.6462626629800678,
      "fos_yielding": 1.8344748862906906,
      "deflection": 0.014613908690897424,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.520)"
      },
      "parent_node_id": "node_2374",
      "improvement_over_parent": null
    },
    "node_2376": {
      "node_id": "node_2376",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n\nPerformance:\n  Mass: 136.97 kg\n  Factor of Safety: 0.73\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": 136.96714759647304,
      "fos_buckling": 0.7307712705610809,
      "fos_yielding": 1.8409835559367318,
      "deflection": 0.011732673149206625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004226)"
      },
      "parent_node_id": "node_2375",
      "improvement_over_parent": null
    },
    "node_2377": {
      "node_id": "node_2377",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n  Mass: 172.69 kg\n  Factor of Safety: 0.91\n  Max Deflection: 9.34e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.6894542382248,
      "fos_buckling": 0.9091393124754317,
      "fos_yielding": 2.3303582799057914,
      "deflection": 0.009339146005219609,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_2376",
      "improvement_over_parent": null
    },
    "node_2378": {
      "node_id": "node_2378",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 224.97 kg\n  Factor of Safety: 1.16\n  Max Deflection: 7.21e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.9713882524457,
      "fos_buckling": 1.16097467567751,
      "fos_yielding": 3.0552196443133535,
      "deflection": 0.007206116923737421,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_2377",
      "improvement_over_parent": null
    },
    "node_2379": {
      "node_id": "node_2379",
      "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 226.00 kg\n  Factor of Safety: 1.16\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.003735287489,
      "fos_buckling": 1.1611810710768826,
      "fos_yielding": 3.0557627942130634,
      "deflection": 0.007123985966524518,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.339)"
      },
      "parent_node_id": "node_2378",
      "improvement_over_parent": null
    },
    "node_2380": {
      "node_id": "node_2380",
      "content": "MODIFICATION: Increase 6 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.73 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.72864083495875,
      "fos_buckling": 1.5264510349804632,
      "fos_yielding": 4.606271852638496,
      "deflection": 0.006965976978042281,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.572)"
      },
      "parent_node_id": "node_2379",
      "improvement_over_parent": null
    },
    "node_2381": {
      "node_id": "node_2381",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 344)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n  Mass: 96.36 kg\n  Factor of Safety: 0.59\n  Max Deflection: 4.06e+11 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 96.36329109417218,
      "fos_buckling": 0.5862103502058312,
      "fos_yielding": 2.787889393454036,
      "deflection": 405676214731.37317,
      "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 all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 125.00 kg\n  Factor of Safety: 0.74\n  Max Deflection: 3.65e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.00420432108143,
      "fos_buckling": 0.7386911061441168,
      "fos_yielding": 3.615141715507652,
      "deflection": 3653278564989.164,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_2382",
      "improvement_over_parent": null
    },
    "node_2384": {
      "node_id": "node_2384",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n  Mass: 142.65 kg\n  Factor of Safety: 0.73\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": 142.64811324454314,
      "fos_buckling": 0.7313755127091003,
      "fos_yielding": 3.586043399769165,
      "deflection": 0.015002154083556478,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004865)"
      },
      "parent_node_id": "node_2383",
      "improvement_over_parent": null
    },
    "node_2385": {
      "node_id": "node_2385",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n\nPerformance:\n  Mass: 158.16 kg\n  Factor of Safety: 0.74\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": 158.16457549552857,
      "fos_buckling": 0.742816631772055,
      "fos_yielding": 3.6067518095053064,
      "deflection": 0.015031611325508587,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004701)"
      },
      "parent_node_id": "node_2384",
      "improvement_over_parent": null
    },
    "node_2386": {
      "node_id": "node_2386",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n  Mass: 175.86 kg\n  Factor of Safety: 0.81\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": 175.86243983193455,
      "fos_buckling": 0.8139017061632314,
      "fos_yielding": 4.00744672994537,
      "deflection": 0.013534281207820676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_2385",
      "improvement_over_parent": null
    },
    "node_2387": {
      "node_id": "node_2387",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n  Mass: 177.72 kg\n  Factor of Safety: 1.25\n  Max Deflection: 8.88e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.72446147004752,
      "fos_buckling": 1.245425729074442,
      "fos_yielding": 3.600446794986176,
      "deflection": 0.008876233015930367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002895)"
      },
      "parent_node_id": "node_2386",
      "improvement_over_parent": null
    },
    "node_2388": {
      "node_id": "node_2388",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.43 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.43439278426587,
      "fos_buckling": 1.5249222506985538,
      "fos_yielding": 4.599760949628578,
      "deflection": 0.006975063165400129,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_2387",
      "improvement_over_parent": null
    },
    "node_2389": {
      "node_id": "node_2389",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2388",
      "improvement_over_parent": null
    },
    "node_2390": {
      "node_id": "node_2390",
      "content": "INITIAL DESIGN (Trace 345)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 138.39 kg\n  Factor of Safety: 0.64\n  Max Deflection: 9.07e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.38799994034824,
      "fos_buckling": 0.6370244790104738,
      "fos_yielding": 3.6548753404219045,
      "deflection": 9066676641292.736,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2391": {
      "node_id": "node_2391",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n\nPerformance:\n  Mass: 165.92 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.9182385235623,
      "fos_buckling": 0.8601684975041052,
      "fos_yielding": 3.860860770078141,
      "deflection": 0.010666291919761386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006777)"
      },
      "parent_node_id": "node_2390",
      "improvement_over_parent": null
    },
    "node_2392": {
      "node_id": "node_2392",
      "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n\nPerformance:\n  Mass: 171.67 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.6664178799521,
      "fos_buckling": 0.8595188519614941,
      "fos_yielding": 3.9032292460926596,
      "deflection": 0.010337911844251655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.340)"
      },
      "parent_node_id": "node_2391",
      "improvement_over_parent": null
    },
    "node_2393": {
      "node_id": "node_2393",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 201.83 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.83289099123127,
      "fos_buckling": 0.980310482116757,
      "fos_yielding": 4.584103232938799,
      "deflection": 0.008824884356747546,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_2392",
      "improvement_over_parent": null
    },
    "node_2394": {
      "node_id": "node_2394",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n\nPerformance:\n  Mass: 220.93 kg\n  Factor of Safety: 1.46\n  Max Deflection: 7.13e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.92686116488989,
      "fos_buckling": 1.457631622095786,
      "fos_yielding": 4.599430071848853,
      "deflection": 0.007130902522673158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005234)"
      },
      "parent_node_id": "node_2393",
      "improvement_over_parent": null
    },
    "node_2395": {
      "node_id": "node_2395",
      "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0112)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n\nPerformance:\n  Mass: 231.70 kg\n  Factor of Safety: 1.46\n  Max Deflection: 6.85e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.70243161280771,
      "fos_buckling": 1.458449662476115,
      "fos_yielding": 4.64987825092378,
      "deflection": 0.006850949542834258,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.376)"
      },
      "parent_node_id": "node_2394",
      "improvement_over_parent": null
    },
    "node_2396": {
      "node_id": "node_2396",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2395",
      "improvement_over_parent": null
    },
    "node_2397": {
      "node_id": "node_2397",
      "content": "INITIAL DESIGN (Trace 346)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 116.70 kg\n  Factor of Safety: 0.70\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": 116.70098199674246,
      "fos_buckling": 0.698563204457386,
      "fos_yielding": 3.0126080181179233,
      "deflection": 0.015980752007154663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2398": {
      "node_id": "node_2398",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n\nPerformance:\n  Mass: 133.39 kg\n  Factor of Safety: 0.70\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": 133.38714961136913,
      "fos_buckling": 0.6970243630312465,
      "fos_yielding": 3.0126080181179233,
      "deflection": 0.013165194615596542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004585)"
      },
      "parent_node_id": "node_2397",
      "improvement_over_parent": null
    },
    "node_2399": {
      "node_id": "node_2399",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n\nPerformance:\n  Mass: 144.65 kg\n  Factor of Safety: 0.90\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": 144.64720167299032,
      "fos_buckling": 0.8992141218710082,
      "fos_yielding": 2.642457124188225,
      "deflection": 0.010870356668727118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.003004)"
      },
      "parent_node_id": "node_2398",
      "improvement_over_parent": null
    },
    "node_2400": {
      "node_id": "node_2400",
      "content": "MODIFICATION: Increase 8 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n\nPerformance:\n  Mass: 155.40 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.39783704514187,
      "fos_buckling": 0.8984305973077334,
      "fos_yielding": 2.6401546358110473,
      "deflection": 0.010298821929643764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.541)"
      },
      "parent_node_id": "node_2399",
      "improvement_over_parent": null
    },
    "node_2401": {
      "node_id": "node_2401",
      "content": "MODIFICATION: Increase 4 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n\nPerformance:\n  Mass: 156.20 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.2025291437646,
      "fos_buckling": 1.0171399843858853,
      "fos_yielding": 3.1109406683044947,
      "deflection": 0.010166586760560604,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.406)"
      },
      "parent_node_id": "node_2400",
      "improvement_over_parent": null
    },
    "node_2402": {
      "node_id": "node_2402",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0105)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n\nPerformance:\n  Mass: 200.26 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.96e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.26291766472698,
      "fos_buckling": 1.2591611937864673,
      "fos_yielding": 3.9882614953289015,
      "deflection": 0.007962366377424339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_2401",
      "improvement_over_parent": null
    },
    "node_2403": {
      "node_id": "node_2403",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0125)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n\nPerformance:\n  Mass: 234.39 kg\n  Factor of Safety: 1.43\n  Max Deflection: 6.82e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.38737847488886,
      "fos_buckling": 1.4333046058023586,
      "fos_yielding": 4.668018708375314,
      "deflection": 0.006824373539945455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2402",
      "improvement_over_parent": null
    },
    "node_2404": {
      "node_id": "node_2404",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2403",
      "improvement_over_parent": null
    },
    "node_2405": {
      "node_id": "node_2405",
      "content": "INITIAL DESIGN (Trace 347)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n  Mass: 153.09 kg\n  Factor of Safety: 0.54\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": 153.08969613368498,
      "fos_buckling": 0.5386009063459455,
      "fos_yielding": 3.4187423198147293,
      "deflection": 0.015421829729916259,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2406": {
      "node_id": "node_2406",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 172.87 kg\n  Factor of Safety: 0.59\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": 172.8728146066681,
      "fos_buckling": 0.5944098001030311,
      "fos_yielding": 3.856631506371762,
      "deflection": 0.013688191098053895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_2405",
      "improvement_over_parent": null
    },
    "node_2407": {
      "node_id": "node_2407",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.65 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.6504093495536,
      "fos_buckling": 0.9809795321578864,
      "fos_yielding": 4.589953783352089,
      "deflection": 0.008815115727982993,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_2406",
      "improvement_over_parent": null
    },
    "node_2408": {
      "node_id": "node_2408",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7415574782139,
      "fos_buckling": 1.5261756560755555,
      "fos_yielding": 4.606953629803067,
      "deflection": 0.006965657785948641,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2407",
      "improvement_over_parent": null
    },
    "node_2409": {
      "node_id": "node_2409",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2408",
      "improvement_over_parent": null
    },
    "node_2410": {
      "node_id": "node_2410",
      "content": "INITIAL DESIGN (Trace 348)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 223.47 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.46601324094635,
      "fos_buckling": 0.9839314306753992,
      "fos_yielding": 3.694968727161434,
      "deflection": 0.010600478340293835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2411": {
      "node_id": "node_2411",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 225.85 kg\n  Factor of Safety: 1.07\n  Max Deflection: 7.15e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.8506955525325,
      "fos_buckling": 1.0737579222472482,
      "fos_yielding": 3.2151440776664866,
      "deflection": 0.007150221213370355,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_2410",
      "improvement_over_parent": null
    },
    "node_2412": {
      "node_id": "node_2412",
      "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 226.40 kg\n  Factor of Safety: 1.27\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.3982208328477,
      "fos_buckling": 1.2655430551735651,
      "fos_yielding": 3.8708377931941906,
      "deflection": 0.007073230325037768,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.225)"
      },
      "parent_node_id": "node_2411",
      "improvement_over_parent": null
    },
    "node_2413": {
      "node_id": "node_2413",
      "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63158074971733,
      "fos_buckling": 1.5259770564614998,
      "fos_yielding": 4.604200574926191,
      "deflection": 0.006968977418969464,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.431)"
      },
      "parent_node_id": "node_2412",
      "improvement_over_parent": null
    },
    "node_2414": {
      "node_id": "node_2414",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2413",
      "improvement_over_parent": null
    },
    "node_2415": {
      "node_id": "node_2415",
      "content": "INITIAL DESIGN (Trace 349)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n  Mass: 90.14 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.59e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 90.13738752082102,
      "fos_buckling": 0.362201724809514,
      "fos_yielding": 2.2951675402208407,
      "deflection": 0.025861669544498995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2416": {
      "node_id": "node_2416",
      "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n  Mass: 92.91 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.48e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 92.91351615398409,
      "fos_buckling": 0.36206826741412457,
      "fos_yielding": 2.294900478122442,
      "deflection": 0.024818747720276046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.235)"
      },
      "parent_node_id": "node_2415",
      "improvement_over_parent": null
    },
    "node_2417": {
      "node_id": "node_2417",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n\nPerformance:\n  Mass: 104.51 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.20e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 104.50511517881218,
      "fos_buckling": 0.3615120831306854,
      "fos_yielding": 2.2937860436588946,
      "deflection": 0.022009936281637332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003494)"
      },
      "parent_node_id": "node_2416",
      "improvement_over_parent": null
    },
    "node_2418": {
      "node_id": "node_2418",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n\nPerformance:\n  Mass: 120.46 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": 120.45883583425484,
      "fos_buckling": 0.41019972273795585,
      "fos_yielding": 2.64131318448578,
      "deflection": 0.019129221172715143,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_2417",
      "improvement_over_parent": null
    },
    "node_2419": {
      "node_id": "node_2419",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n  Mass: 153.59 kg\n  Factor of Safety: 0.51\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": 153.59305624100529,
      "fos_buckling": 0.5059242736342263,
      "fos_yielding": 3.3608769783340953,
      "deflection": 0.01505840872931399,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_2418",
      "improvement_over_parent": null
    },
    "node_2420": {
      "node_id": "node_2420",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n\nPerformance:\n  Mass: 179.09 kg\n  Factor of Safety: 1.25\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.08872820292632,
      "fos_buckling": 1.253135369275463,
      "fos_yielding": 3.6278691658696975,
      "deflection": 0.00880949326470516,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006239)"
      },
      "parent_node_id": "node_2419",
      "improvement_over_parent": null
    },
    "node_2421": {
      "node_id": "node_2421",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5434251321782,
      "fos_buckling": 1.5250854499262538,
      "fos_yielding": 4.601892271507798,
      "deflection": 0.006971437426551642,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_2420",
      "improvement_over_parent": null
    },
    "node_2422": {
      "node_id": "node_2422",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 350)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 170.71 kg\n  Factor of Safety: 1.07\n  Max Deflection: 9.38e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.70899915266648,
      "fos_buckling": 1.0673955134261632,
      "fos_yielding": 3.634363945339198,
      "deflection": 0.009375245879305164,
      "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 7 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 176.70 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.99e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.70421596878873,
      "fos_buckling": 1.2636937655856344,
      "fos_yielding": 3.632466813174655,
      "deflection": 0.008994128314453663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.326)"
      },
      "parent_node_id": "node_2423",
      "improvement_over_parent": null
    },
    "node_2425": {
      "node_id": "node_2425",
      "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 180.75 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.73e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.7471177406382,
      "fos_buckling": 1.2633242185103357,
      "fos_yielding": 3.6615793292954177,
      "deflection": 0.008730538776139257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.236)"
      },
      "parent_node_id": "node_2424",
      "improvement_over_parent": null
    },
    "node_2426": {
      "node_id": "node_2426",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.66871441927572,
      "fos_buckling": 1.5262381077834477,
      "fos_yielding": 4.604799301531161,
      "deflection": 0.006967887191208316,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_2425",
      "improvement_over_parent": null
    },
    "node_2427": {
      "node_id": "node_2427",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2426",
      "improvement_over_parent": null
    },
    "node_2428": {
      "node_id": "node_2428",
      "content": "INITIAL DESIGN (Trace 351)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2429": {
      "node_id": "node_2429",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 183.88 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.882101796611,
      "fos_buckling": 0.9832735181365085,
      "fos_yielding": 5.143770618251929,
      "deflection": 0.010723267142606609,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2428",
      "improvement_over_parent": null
    },
    "node_2430": {
      "node_id": "node_2430",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 205.54 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.54139807345842,
      "fos_buckling": 0.9804873169904537,
      "fos_yielding": 4.587202836986251,
      "deflection": 0.008819896325643482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_2429",
      "improvement_over_parent": null
    },
    "node_2431": {
      "node_id": "node_2431",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63254620211873,
      "fos_buckling": 1.5259797849074017,
      "fos_yielding": 4.604198596922438,
      "deflection": 0.006968977102149409,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2430",
      "improvement_over_parent": null
    },
    "node_2432": {
      "node_id": "node_2432",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2431",
      "improvement_over_parent": null
    },
    "node_2433": {
      "node_id": "node_2433",
      "content": "INITIAL DESIGN (Trace 352)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 158.57 kg\n  Factor of Safety: 0.86\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": 158.56783182204225,
      "fos_buckling": 0.8609985045443447,
      "fos_yielding": 4.29236621129408,
      "deflection": 0.013987608374698458,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2434": {
      "node_id": "node_2434",
      "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 163.03 kg\n  Factor of Safety: 0.86\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": 163.03370688228173,
      "fos_buckling": 0.861513128812187,
      "fos_yielding": 4.29236621129408,
      "deflection": 0.013278651520215573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.252)"
      },
      "parent_node_id": "node_2433",
      "improvement_over_parent": null
    },
    "node_2435": {
      "node_id": "node_2435",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 195.47 kg\n  Factor of Safety: 1.00\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": 195.4685086174585,
      "fos_buckling": 1.0019124858880881,
      "fos_yielding": 5.1424645419222506,
      "deflection": 0.011095699813968398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_2434",
      "improvement_over_parent": null
    },
    "node_2436": {
      "node_id": "node_2436",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 220.59 kg\n  Factor of Safety: 0.99\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": 220.58780359495944,
      "fos_buckling": 0.9884382893018393,
      "fos_yielding": 5.1542665406933335,
      "deflection": 0.011086252776791912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2435",
      "improvement_over_parent": null
    },
    "node_2437": {
      "node_id": "node_2437",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 222.97 kg\n  Factor of Safety: 1.52\n  Max Deflection: 7.15e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 222.9724859065456,
      "fos_buckling": 1.52407228793793,
      "fos_yielding": 4.603194011564862,
      "deflection": 0.007154479712487598,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_2436",
      "improvement_over_parent": null
    },
    "node_2438": {
      "node_id": "node_2438",
      "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.52476244993207,
      "fos_buckling": 1.5254191803930108,
      "fos_yielding": 4.6015739052570135,
      "deflection": 0.006972227966151924,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.214)"
      },
      "parent_node_id": "node_2437",
      "improvement_over_parent": null
    },
    "node_2439": {
      "node_id": "node_2439",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2438",
      "improvement_over_parent": null
    },
    "node_2440": {
      "node_id": "node_2440",
      "content": "INITIAL DESIGN (Trace 353)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 143.05 kg\n  Factor of Safety: 0.66\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": 143.04754685144073,
      "fos_buckling": 0.6638776147088695,
      "fos_yielding": 3.3000309112916417,
      "deflection": 0.012670531075089845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2441": {
      "node_id": "node_2441",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 184.03 kg\n  Factor of Safety: 0.83\n  Max Deflection: 9.89e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.02742585597565,
      "fos_buckling": 0.826836367509988,
      "fos_yielding": 4.2539666239683775,
      "deflection": 0.009887686658489277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_2440",
      "improvement_over_parent": null
    },
    "node_2442": {
      "node_id": "node_2442",
      "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 194.79 kg\n  Factor of Safety: 0.83\n  Max Deflection: 9.44e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.7947929108738,
      "fos_buckling": 0.8256701373059416,
      "fos_yielding": 4.2539666239683775,
      "deflection": 0.009437458161099784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.546)"
      },
      "parent_node_id": "node_2441",
      "improvement_over_parent": null
    },
    "node_2443": {
      "node_id": "node_2443",
      "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 195.67 kg\n  Factor of Safety: 0.83\n  Max Deflection: 9.44e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.66562024118844,
      "fos_buckling": 0.8256701373059416,
      "fos_yielding": 5.144543067970355,
      "deflection": 0.009437458161099784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.230)"
      },
      "parent_node_id": "node_2442",
      "improvement_over_parent": null
    },
    "node_2444": {
      "node_id": "node_2444",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 220.78 kg\n  Factor of Safety: 1.33\n  Max Deflection: 7.24e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.78491521868938,
      "fos_buckling": 1.325401228224035,
      "fos_yielding": 4.556133589088702,
      "deflection": 0.007239955561947416,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2443",
      "improvement_over_parent": null
    },
    "node_2445": {
      "node_id": "node_2445",
      "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0092)]\n\nPerformance:\n  Mass: 227.19 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.19366942940272,
      "fos_buckling": 1.3721560324509037,
      "fos_yielding": 4.52437548843425,
      "deflection": 0.0071181668398385516,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.289)"
      },
      "parent_node_id": "node_2444",
      "improvement_over_parent": null
    },
    "node_2446": {
      "node_id": "node_2446",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2445",
      "improvement_over_parent": null
    },
    "node_2447": {
      "node_id": "node_2447",
      "content": "INITIAL DESIGN (Trace 354)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 113.49 kg\n  Factor of Safety: 1.46\n  Max Deflection: 1.32e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.48690895399453,
      "fos_buckling": 1.455032126625892,
      "fos_yielding": 3.936049744462534,
      "deflection": 13237326474162.252,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2448": {
      "node_id": "node_2448",
      "content": "MODIFICATION: Increase 6 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 120.97 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.69e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.97028572416795,
      "fos_buckling": 0.9167426884087001,
      "fos_yielding": 1.5109884299526597,
      "deflection": 168849522941884.47,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.616)"
      },
      "parent_node_id": "node_2447",
      "improvement_over_parent": null
    },
    "node_2449": {
      "node_id": "node_2449",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n  Mass: 141.91 kg\n  Factor of Safety: 0.52\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": 141.9108083171337,
      "fos_buckling": 0.5237928917711492,
      "fos_yielding": 3.4941302237717893,
      "deflection": 0.01634470459983543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005779)"
      },
      "parent_node_id": "node_2448",
      "improvement_over_parent": null
    },
    "node_2450": {
      "node_id": "node_2450",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 173.57 kg\n  Factor of Safety: 0.62\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": 173.573828466283,
      "fos_buckling": 0.6177842320997387,
      "fos_yielding": 4.264943508709928,
      "deflection": 0.013412536751687475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_2449",
      "improvement_over_parent": null
    },
    "node_2451": {
      "node_id": "node_2451",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 195.23 kg\n  Factor of Safety: 0.62\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": 195.23312474313042,
      "fos_buckling": 0.6160313165486457,
      "fos_yielding": 4.26109546506609,
      "deflection": 0.011902225343503419,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_2450",
      "improvement_over_parent": null
    },
    "node_2452": {
      "node_id": "node_2452",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6267443832487,
      "fos_buckling": 1.525996319403131,
      "fos_yielding": 4.603791726247625,
      "deflection": 0.006969246793597075,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_2451",
      "improvement_over_parent": null
    },
    "node_2453": {
      "node_id": "node_2453",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2452",
      "improvement_over_parent": null
    },
    "node_2454": {
      "node_id": "node_2454",
      "content": "INITIAL DESIGN (Trace 355)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\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_2455": {
      "node_id": "node_2455",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 139.02 kg\n  Factor of Safety: 1.84\n  Max Deflection: 7.63e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 139.0184118217423,
      "fos_buckling": 1.841467545973013,
      "fos_yielding": 4.76500345452553,
      "deflection": 76273328559463.77,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_2454",
      "improvement_over_parent": null
    },
    "node_2456": {
      "node_id": "node_2456",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 164.14 kg\n  Factor of Safety: 0.59\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": 164.13770679924323,
      "fos_buckling": 0.594785701211375,
      "fos_yielding": 3.8553165805287377,
      "deflection": 0.013685001463376019,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2455",
      "improvement_over_parent": null
    },
    "node_2457": {
      "node_id": "node_2457",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 189.75 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.75423570853783,
      "fos_buckling": 0.5927882669765367,
      "fos_yielding": 3.852083710965666,
      "deflection": 0.01219975092802209,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_2456",
      "improvement_over_parent": null
    },
    "node_2458": {
      "node_id": "node_2458",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 222.53 kg\n  Factor of Safety: 1.47\n  Max Deflection: 7.10e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.53183045142333,
      "fos_buckling": 1.468805753964759,
      "fos_yielding": 4.603247501368162,
      "deflection": 0.007096006003760331,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_2457",
      "improvement_over_parent": null
    },
    "node_2459": {
      "node_id": "node_2459",
      "content": "MODIFICATION: Increase 2 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63951029652455,
      "fos_buckling": 1.5259921599620732,
      "fos_yielding": 4.604194267155129,
      "deflection": 0.0069688378504065215,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.330)"
      },
      "parent_node_id": "node_2458",
      "improvement_over_parent": null
    },
    "node_2460": {
      "node_id": "node_2460",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2459",
      "improvement_over_parent": null
    },
    "node_2461": {
      "node_id": "node_2461",
      "content": "INITIAL DESIGN (Trace 356)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_2462": {
      "node_id": "node_2462",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n  Mass: 167.80 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.79851902720182,
      "fos_buckling": 0.8473400230925778,
      "fos_yielding": 2.9747649841849464,
      "deflection": 0.01062509062717388,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005661)"
      },
      "parent_node_id": "node_2461",
      "improvement_over_parent": null
    },
    "node_2463": {
      "node_id": "node_2463",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n\nPerformance:\n  Mass: 189.20 kg\n  Factor of Safety: 1.14\n  Max Deflection: 8.42e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.1990189084793,
      "fos_buckling": 1.1370837426717606,
      "fos_yielding": 2.9856014838212115,
      "deflection": 0.008415190328456024,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005916)"
      },
      "parent_node_id": "node_2462",
      "improvement_over_parent": null
    },
    "node_2464": {
      "node_id": "node_2464",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 226.60 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.59654108050486,
      "fos_buckling": 1.335351363033923,
      "fos_yielding": 3.5854571152611943,
      "deflection": 0.0070546932684168225,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_2463",
      "improvement_over_parent": null
    },
    "node_2465": {
      "node_id": "node_2465",
      "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0107)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 235.69 kg\n  Factor of Safety: 1.33\n  Max Deflection: 6.81e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.69444320906618,
      "fos_buckling": 1.3346810848147086,
      "fos_yielding": 3.583657398814411,
      "deflection": 0.006812936509451765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.319)"
      },
      "parent_node_id": "node_2464",
      "improvement_over_parent": null
    },
    "node_2466": {
      "node_id": "node_2466",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2465",
      "improvement_over_parent": null
    },
    "node_2467": {
      "node_id": "node_2467",
      "content": "INITIAL DESIGN (Trace 357)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0021)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0023)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n  Mass: 114.99 kg\n  Factor of Safety: 0.60\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": 114.9940470983744,
      "fos_buckling": 0.6003383658478846,
      "fos_yielding": 2.2592523928944956,
      "deflection": 0.014219629006783474,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2468": {
      "node_id": "node_2468",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0030)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 150.54 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.5447114241829,
      "fos_buckling": 0.7743002140907553,
      "fos_yielding": 2.9613004219881622,
      "deflection": 0.010896112796849131,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_2467",
      "improvement_over_parent": null
    },
    "node_2469": {
      "node_id": "node_2469",
      "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0030)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 151.15 kg\n  Factor of Safety: 0.79\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": 151.1495446742539,
      "fos_buckling": 0.7899650085019516,
      "fos_yielding": 3.275414925612737,
      "deflection": 0.010780862901633983,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.258)"
      },
      "parent_node_id": "node_2468",
      "improvement_over_parent": null
    },
    "node_2470": {
      "node_id": "node_2470",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 169.36 kg\n  Factor of Safety: 0.88\n  Max Deflection: 9.64e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.35967060136883,
      "fos_buckling": 0.8782101105375537,
      "fos_yielding": 3.6664976986032283,
      "deflection": 0.009637813236887317,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_2469",
      "improvement_over_parent": null
    },
    "node_2471": {
      "node_id": "node_2471",
      "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 173.93 kg\n  Factor of Safety: 1.04\n  Max Deflection: 9.18e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.92586036707996,
      "fos_buckling": 1.0396824669606886,
      "fos_yielding": 3.6642730884330734,
      "deflection": 0.009177765889391764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.335)"
      },
      "parent_node_id": "node_2470",
      "improvement_over_parent": null
    },
    "node_2472": {
      "node_id": "node_2472",
      "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 180.77 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.73e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.7738303393265,
      "fos_buckling": 1.2633558321502583,
      "fos_yielding": 3.6619602058490788,
      "deflection": 0.008729221911556725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.389)"
      },
      "parent_node_id": "node_2471",
      "improvement_over_parent": null
    },
    "node_2473": {
      "node_id": "node_2473",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7015816945769,
      "fos_buckling": 1.526268324376664,
      "fos_yielding": 4.605266494622453,
      "deflection": 0.006966865724608237,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_2472",
      "improvement_over_parent": null
    },
    "node_2474": {
      "node_id": "node_2474",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2473",
      "improvement_over_parent": null
    },
    "node_2475": {
      "node_id": "node_2475",
      "content": "INITIAL DESIGN (Trace 358)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 125.59 kg\n  Factor of Safety: 0.01\n  Max Deflection: 1.10e+15 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.59198182327228,
      "fos_buckling": 0.010067281852225947,
      "fos_yielding": 0.05710742719409226,
      "deflection": 1098802292838995.2,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2476": {
      "node_id": "node_2476",
      "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 128.72 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.10e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.71655800489884,
      "fos_buckling": 0.6443060385424606,
      "fos_yielding": 2.1874438831277776,
      "deflection": 11036878843343.32,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.176)"
      },
      "parent_node_id": "node_2475",
      "improvement_over_parent": null
    },
    "node_2477": {
      "node_id": "node_2477",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n\nPerformance:\n  Mass: 154.14 kg\n  Factor of Safety: 0.75\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": 154.1399013002191,
      "fos_buckling": 0.7485020995127699,
      "fos_yielding": 1.8885067976009706,
      "deflection": 0.012572023864918125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006220)"
      },
      "parent_node_id": "node_2476",
      "improvement_over_parent": null
    },
    "node_2478": {
      "node_id": "node_2478",
      "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n\nPerformance:\n  Mass: 154.59 kg\n  Factor of Safety: 0.80\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": 154.5865322934527,
      "fos_buckling": 0.8044053415194561,
      "fos_yielding": 2.2892664473039805,
      "deflection": 0.01243394812126512,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.229)"
      },
      "parent_node_id": "node_2477",
      "improvement_over_parent": null
    },
    "node_2479": {
      "node_id": "node_2479",
      "content": "MODIFICATION: Increase 5 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n\nPerformance:\n  Mass: 156.06 kg\n  Factor of Safety: 0.80\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": 156.06037151659623,
      "fos_buckling": 0.8044053415194562,
      "fos_yielding": 3.6115398505943586,
      "deflection": 0.01219572670287875,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.637)"
      },
      "parent_node_id": "node_2478",
      "improvement_over_parent": null
    },
    "node_2480": {
      "node_id": "node_2480",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n  Mass: 173.40 kg\n  Factor of Safety: 1.25\n  Max Deflection: 9.20e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.3950600134848,
      "fos_buckling": 1.2491408356595917,
      "fos_yielding": 3.626626871619519,
      "deflection": 0.009197041355054442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005292)"
      },
      "parent_node_id": "node_2479",
      "improvement_over_parent": null
    },
    "node_2481": {
      "node_id": "node_2481",
      "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n  Mass: 178.64 kg\n  Factor of Safety: 1.25\n  Max Deflection: 8.83e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.63760011665096,
      "fos_buckling": 1.2511345885439995,
      "fos_yielding": 3.6247476554301854,
      "deflection": 0.008831266196851484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.337)"
      },
      "parent_node_id": "node_2480",
      "improvement_over_parent": null
    },
    "node_2482": {
      "node_id": "node_2482",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.46 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.46124541441066,
      "fos_buckling": 1.5254256610715264,
      "fos_yielding": 4.607636860656398,
      "deflection": 0.006973873314292383,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_2481",
      "improvement_over_parent": null
    },
    "node_2483": {
      "node_id": "node_2483",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2482",
      "improvement_over_parent": null
    },
    "node_2484": {
      "node_id": "node_2484",
      "content": "INITIAL DESIGN (Trace 359)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0026)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0026)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0023)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0023)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0017)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0013)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0018)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0027)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0024)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0027)]\n\nPerformance:\n  Mass: 80.01 kg\n  Factor of Safety: 0.61\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": 80.01061935535705,
      "fos_buckling": 0.6091023457648403,
      "fos_yielding": 1.6264658345161598,
      "deflection": 0.019498556609409207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2485": {
      "node_id": "node_2485",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0034)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0030)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0036)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0032)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0036)]\n\nPerformance:\n  Mass: 105.65 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": 105.64562353805545,
      "fos_buckling": 0.787349317214194,
      "fos_yielding": 2.1457068721675268,
      "deflection": 0.014810396755131842,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.333)"
      },
      "parent_node_id": "node_2484",
      "improvement_over_parent": null
    },
    "node_2486": {
      "node_id": "node_2486",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 134.77 kg\n  Factor of Safety: 0.98\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": 134.77255397702146,
      "fos_buckling": 0.9800702277092309,
      "fos_yielding": 2.7345807960106137,
      "deflection": 0.011648046925171495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_2485",
      "improvement_over_parent": null
    },
    "node_2487": {
      "node_id": "node_2487",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 176.55 kg\n  Factor of Safety: 1.24\n  Max Deflection: 8.93e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.54607813498066,
      "fos_buckling": 1.2384562712529323,
      "fos_yielding": 3.5771077070589836,
      "deflection": 0.008934047542905534,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_2486",
      "improvement_over_parent": null
    },
    "node_2488": {
      "node_id": "node_2488",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.69191968173917,
      "fos_buckling": 1.5263041095823828,
      "fos_yielding": 4.605420884645348,
      "deflection": 0.006967190488877746,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_2487",
      "improvement_over_parent": null
    },
    "node_2489": {
      "node_id": "node_2489",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2488",
      "improvement_over_parent": null
    },
    "node_2490": {
      "node_id": "node_2490",
      "content": "INITIAL DESIGN (Trace 360)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 122.65 kg\n  Factor of Safety: 0.65\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": 122.64863138449613,
      "fos_buckling": 0.6481235928497938,
      "fos_yielding": 3.0662162071618533,
      "deflection": 0.014487742500696295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2491": {
      "node_id": "node_2491",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 136.54 kg\n  Factor of Safety: 0.71\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": 136.53954363857466,
      "fos_buckling": 0.7120871130382116,
      "fos_yielding": 3.412881791608356,
      "deflection": 0.013035848752248723,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_2490",
      "improvement_over_parent": null
    },
    "node_2492": {
      "node_id": "node_2492",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n\nPerformance:\n  Mass: 150.90 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.89995294054768,
      "fos_buckling": 1.0823324490860375,
      "fos_yielding": 3.0600994513403545,
      "deflection": 0.01042221524944464,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004378)"
      },
      "parent_node_id": "node_2491",
      "improvement_over_parent": null
    },
    "node_2493": {
      "node_id": "node_2493",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n  Mass: 182.50 kg\n  Factor of Safety: 1.27\n  Max Deflection: 8.65e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.50142050005354,
      "fos_buckling": 1.2735850048558017,
      "fos_yielding": 3.696982715902719,
      "deflection": 0.008648346502659264,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_2492",
      "improvement_over_parent": null
    },
    "node_2494": {
      "node_id": "node_2494",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5504579477355,
      "fos_buckling": 1.5255587615718365,
      "fos_yielding": 4.602528664981999,
      "deflection": 0.006971431128387967,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_2493",
      "improvement_over_parent": null
    },
    "node_2495": {
      "node_id": "node_2495",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2494",
      "improvement_over_parent": null
    },
    "node_2496": {
      "node_id": "node_2496",
      "content": "INITIAL DESIGN (Trace 361)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 177.09 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.08999564322903,
      "fos_buckling": 0.7210095508814994,
      "fos_yielding": 4.624934133323228,
      "deflection": 0.0107190903683762,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2497": {
      "node_id": "node_2497",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n  Mass: 197.15 kg\n  Factor of Safety: 0.79\n  Max Deflection: 9.64e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.14689948489863,
      "fos_buckling": 0.7918575669153843,
      "fos_yielding": 5.145412593729209,
      "deflection": 0.009644587198463185,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_2496",
      "improvement_over_parent": null
    },
    "node_2498": {
      "node_id": "node_2498",
      "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n  Mass: 197.98 kg\n  Factor of Safety: 0.79\n  Max Deflection: 9.61e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.97848890114432,
      "fos_buckling": 0.7916850983778052,
      "fos_yielding": 5.145412593729209,
      "deflection": 0.009609879486244968,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.587)"
      },
      "parent_node_id": "node_2497",
      "improvement_over_parent": null
    },
    "node_2499": {
      "node_id": "node_2499",
      "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 206.02 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.02344189069746,
      "fos_buckling": 1.0036968002440423,
      "fos_yielding": 5.145412593729209,
      "deflection": 0.008712872965278468,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.357)"
      },
      "parent_node_id": "node_2498",
      "improvement_over_parent": null
    },
    "node_2500": {
      "node_id": "node_2500",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.68 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.68273816754487,
      "fos_buckling": 1.525933990675,
      "fos_yielding": 4.605647910154127,
      "deflection": 0.006967473636807343,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_2499",
      "improvement_over_parent": null
    },
    "node_2501": {
      "node_id": "node_2501",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2500",
      "improvement_over_parent": null
    },
    "node_2502": {
      "node_id": "node_2502",
      "content": "INITIAL DESIGN (Trace 362)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 158.18 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.1848948145509,
      "fos_buckling": 0.8663199872650398,
      "fos_yielding": 4.286195905120275,
      "deflection": 0.010976913484011483,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2503": {
      "node_id": "node_2503",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 190.19 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.17e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.18815611252057,
      "fos_buckling": 1.006042224506682,
      "fos_yielding": 5.146685532549805,
      "deflection": 0.009165032073755738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_2502",
      "improvement_over_parent": null
    },
    "node_2504": {
      "node_id": "node_2504",
      "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 196.02 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.98e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.01802965083746,
      "fos_buckling": 1.005273960199553,
      "fos_yielding": 5.146685532549805,
      "deflection": 0.008975083144347966,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.393)"
      },
      "parent_node_id": "node_2503",
      "improvement_over_parent": null
    },
    "node_2505": {
      "node_id": "node_2505",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 221.14 kg\n  Factor of Safety: 1.52\n  Max Deflection: 7.25e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 221.1373246283384,
      "fos_buckling": 1.5240972664611334,
      "fos_yielding": 4.607902638812914,
      "deflection": 0.007248124113016986,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2504",
      "improvement_over_parent": null
    },
    "node_2506": {
      "node_id": "node_2506",
      "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.70040204027336,
      "fos_buckling": 1.5262488135042662,
      "fos_yielding": 4.605439607198731,
      "deflection": 0.006966994286751872,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.337)"
      },
      "parent_node_id": "node_2505",
      "improvement_over_parent": null
    },
    "node_2507": {
      "node_id": "node_2507",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2506",
      "improvement_over_parent": null
    },
    "node_2508": {
      "node_id": "node_2508",
      "content": "INITIAL DESIGN (Trace 363)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 213.10 kg\n  Factor of Safety: 1.42\n  Max Deflection: 7.34e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.10276541003935,
      "fos_buckling": 1.4150718952968755,
      "fos_yielding": 4.633286160795472,
      "deflection": 0.007339932166707956,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2509": {
      "node_id": "node_2509",
      "content": "MODIFICATION: Increase 8 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 219.12 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.16e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.12345368136315,
      "fos_buckling": 1.481854824115625,
      "fos_yielding": 4.634590288877373,
      "deflection": 0.00715574860030201,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.412)"
      },
      "parent_node_id": "node_2508",
      "improvement_over_parent": null
    },
    "node_2510": {
      "node_id": "node_2510",
      "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 222.93 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.9331146603336,
      "fos_buckling": 1.4799646162855002,
      "fos_yielding": 4.635102064352193,
      "deflection": 0.007072344667421843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.192)"
      },
      "parent_node_id": "node_2509",
      "improvement_over_parent": null
    },
    "node_2511": {
      "node_id": "node_2511",
      "content": "MODIFICATION: Increase 9 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.62239027506754,
      "fos_buckling": 1.526022889272244,
      "fos_yielding": 4.604173388144179,
      "deflection": 0.006969175959220117,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.252)"
      },
      "parent_node_id": "node_2510",
      "improvement_over_parent": null
    },
    "node_2512": {
      "node_id": "node_2512",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2511",
      "improvement_over_parent": null
    },
    "node_2513": {
      "node_id": "node_2513",
      "content": "INITIAL DESIGN (Trace 364)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 172.41 kg\n  Factor of Safety: 0.92\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": 172.40686511755501,
      "fos_buckling": 0.9225173878433466,
      "fos_yielding": 4.63101563466048,
      "deflection": 0.011739426835462873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2514": {
      "node_id": "node_2514",
      "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 175.42 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.42094162583157,
      "fos_buckling": 0.9228687024328321,
      "fos_yielding": 4.629794227945695,
      "deflection": 0.011739399212238367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.266)"
      },
      "parent_node_id": "node_2513",
      "improvement_over_parent": null
    },
    "node_2515": {
      "node_id": "node_2515",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n\nPerformance:\n  Mass: 176.86 kg\n  Factor of Safety: 0.92\n  Max Deflection: 9.69e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.8634035526985,
      "fos_buckling": 0.922519079244487,
      "fos_yielding": 4.629794227945695,
      "deflection": 0.009693682377454157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002207)"
      },
      "parent_node_id": "node_2514",
      "improvement_over_parent": null
    },
    "node_2516": {
      "node_id": "node_2516",
      "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0113)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n\nPerformance:\n  Mass: 191.18 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.70e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.183088081692,
      "fos_buckling": 1.2622772181625885,
      "fos_yielding": 4.629794227945694,
      "deflection": 0.008699767783497344,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.555)"
      },
      "parent_node_id": "node_2515",
      "improvement_over_parent": null
    },
    "node_2517": {
      "node_id": "node_2517",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0127)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n\nPerformance:\n  Mass: 212.52 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.85e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.5157783948391,
      "fos_buckling": 1.3543205815611385,
      "fos_yielding": 5.151155866553595,
      "deflection": 0.007849023967091466,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_2516",
      "improvement_over_parent": null
    },
    "node_2518": {
      "node_id": "node_2518",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0127)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 234.18 kg\n  Factor of Safety: 1.51\n  Max Deflection: 6.85e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 234.1750746716865,
      "fos_buckling": 1.5114053140587853,
      "fos_yielding": 4.748771100207443,
      "deflection": 0.0068466292972450835,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_2517",
      "improvement_over_parent": null
    },
    "node_2519": {
      "node_id": "node_2519",
      "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0124)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0127)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 248.94 kg\n  Factor of Safety: 1.66\n  Max Deflection: 6.49e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 248.93794475588356,
      "fos_buckling": 1.6616969152150163,
      "fos_yielding": 4.744458913430294,
      "deflection": 0.006485551837076614,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.529)"
      },
      "parent_node_id": "node_2518",
      "improvement_over_parent": null
    },
    "node_2520": {
      "node_id": "node_2520",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2519",
      "improvement_over_parent": null
    },
    "node_2521": {
      "node_id": "node_2521",
      "content": "INITIAL DESIGN (Trace 365)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 153.99 kg\n  Factor of Safety: 0.18\n  Max Deflection: 4.19e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.98579537741816,
      "fos_buckling": 0.18409927733745907,
      "fos_yielding": 2.6654144488570815,
      "deflection": 41883895966795.71,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2522": {
      "node_id": "node_2522",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n\nPerformance:\n  Mass: 183.20 kg\n  Factor of Safety: 0.90\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": 183.19781432237983,
      "fos_buckling": 0.9026429527204352,
      "fos_yielding": 4.593055086722151,
      "deflection": 0.011708003138634992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007227)"
      },
      "parent_node_id": "node_2521",
      "improvement_over_parent": null
    },
    "node_2523": {
      "node_id": "node_2523",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n  Mass: 203.12 kg\n  Factor of Safety: 0.92\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": 203.11652366997936,
      "fos_buckling": 0.9187757065357847,
      "fos_yielding": 4.623819437732138,
      "deflection": 0.011737593901009105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006149)"
      },
      "parent_node_id": "node_2522",
      "improvement_over_parent": null
    },
    "node_2524": {
      "node_id": "node_2524",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 225.30 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.29549857346385,
      "fos_buckling": 0.9998940498188962,
      "fos_yielding": 5.124093039640714,
      "deflection": 0.010597145388972419,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_2523",
      "improvement_over_parent": null
    },
    "node_2525": {
      "node_id": "node_2525",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n  Mass: 227.14 kg\n  Factor of Safety: 1.50\n  Max Deflection: 7.04e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.14012415678022,
      "fos_buckling": 1.5031700157135355,
      "fos_yielding": 4.615015862330769,
      "deflection": 0.0070423032029890975,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002866)"
      },
      "parent_node_id": "node_2524",
      "improvement_over_parent": null
    },
    "node_2526": {
      "node_id": "node_2526",
      "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n  Mass: 234.38 kg\n  Factor of Safety: 1.46\n  Max Deflection: 6.93e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.37670655450304,
      "fos_buckling": 1.4580562632874463,
      "fos_yielding": 4.615892385893133,
      "deflection": 0.006931488026886373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.321)"
      },
      "parent_node_id": "node_2525",
      "improvement_over_parent": null
    },
    "node_2527": {
      "node_id": "node_2527",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2526",
      "improvement_over_parent": null
    },
    "node_2528": {
      "node_id": "node_2528",
      "content": "INITIAL DESIGN (Trace 366)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0032)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 142.07 kg\n  Factor of Safety: 0.78\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": 142.07194503040537,
      "fos_buckling": 0.7765234621492464,
      "fos_yielding": 2.576916457970272,
      "deflection": 0.01144182388294139,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2529": {
      "node_id": "node_2529",
      "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 150.11 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.1109388475232,
      "fos_buckling": 0.9016437762335909,
      "fos_yielding": 2.654447567482749,
      "deflection": 0.01056448053875323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.634)"
      },
      "parent_node_id": "node_2528",
      "improvement_over_parent": null
    },
    "node_2530": {
      "node_id": "node_2530",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 193.76 kg\n  Factor of Safety: 1.14\n  Max Deflection: 8.22e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.75990459037564,
      "fos_buckling": 1.1390215597506383,
      "fos_yielding": 3.4361472688163874,
      "deflection": 0.008223364346489468,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_2529",
      "improvement_over_parent": null
    },
    "node_2531": {
      "node_id": "node_2531",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 226.41 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.4075723162034,
      "fos_buckling": 1.3092028999688408,
      "fos_yielding": 4.024690728357773,
      "deflection": 0.0070623313357788915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_2530",
      "improvement_over_parent": null
    },
    "node_2532": {
      "node_id": "node_2532",
      "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.50952743513608,
      "fos_buckling": 1.5254071730414205,
      "fos_yielding": 4.602054517448228,
      "deflection": 0.006972677163055749,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.370)"
      },
      "parent_node_id": "node_2531",
      "improvement_over_parent": null
    },
    "node_2533": {
      "node_id": "node_2533",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2532",
      "improvement_over_parent": null
    },
    "node_2534": {
      "node_id": "node_2534",
      "content": "INITIAL DESIGN (Trace 367)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n  Mass: 139.26 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.26276732514546,
      "fos_buckling": 0.8514502260569332,
      "fos_yielding": 3.0197145426213887,
      "deflection": 0.01134639497149043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2535": {
      "node_id": "node_2535",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 166.90 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.49e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.90475357960565,
      "fos_buckling": 1.0023322240925607,
      "fos_yielding": 3.6135003633559934,
      "deflection": 0.009494815688317828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_2534",
      "improvement_over_parent": null
    },
    "node_2536": {
      "node_id": "node_2536",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 213.38 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.37925042881042,
      "fos_buckling": 1.2426318494139494,
      "fos_yielding": 4.607339223435914,
      "deflection": 0.007462905686257477,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_2535",
      "improvement_over_parent": null
    },
    "node_2537": {
      "node_id": "node_2537",
      "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 220.58 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.14e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.57877407878595,
      "fos_buckling": 1.4514470189882196,
      "fos_yielding": 4.656542966653427,
      "deflection": 0.007137762412958767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.309)"
      },
      "parent_node_id": "node_2536",
      "improvement_over_parent": null
    },
    "node_2538": {
      "node_id": "node_2538",
      "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.68817365089768,
      "fos_buckling": 1.5259834499093627,
      "fos_yielding": 4.605616642292236,
      "deflection": 0.00696730497914189,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.433)"
      },
      "parent_node_id": "node_2537",
      "improvement_over_parent": null
    },
    "node_2539": {
      "node_id": "node_2539",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2538",
      "improvement_over_parent": null
    },
    "node_2540": {
      "node_id": "node_2540",
      "content": "INITIAL DESIGN (Trace 368)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0034)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n\nPerformance:\n  Mass: 106.45 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.37e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 106.4543731135643,
      "fos_buckling": 0.33782019928924395,
      "fos_yielding": 2.643408870105437,
      "deflection": 0.023709967557791558,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2541": {
      "node_id": "node_2541",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 129.51 kg\n  Factor of Safety: 0.40\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": 129.5123553159704,
      "fos_buckling": 0.403052997699341,
      "fos_yielding": 3.2086835288771933,
      "deflection": 0.019516404980015514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_2540",
      "improvement_over_parent": null
    },
    "node_2542": {
      "node_id": "node_2542",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 156.73 kg\n  Factor of Safety: 0.84\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": 156.73193357106712,
      "fos_buckling": 0.8444957550606091,
      "fos_yielding": 3.8475041962900343,
      "deflection": 0.012603976774067866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006649)"
      },
      "parent_node_id": "node_2541",
      "improvement_over_parent": null
    },
    "node_2543": {
      "node_id": "node_2543",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n  Mass: 175.08 kg\n  Factor of Safety: 1.08\n  Max Deflection: 9.27e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.07807228738017,
      "fos_buckling": 1.0809307581271757,
      "fos_yielding": 3.251398862943722,
      "deflection": 0.009270064712241354,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005625)"
      },
      "parent_node_id": "node_2542",
      "improvement_over_parent": null
    },
    "node_2544": {
      "node_id": "node_2544",
      "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n  Mass: 175.73 kg\n  Factor of Safety: 1.08\n  Max Deflection: 9.18e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.73074507964535,
      "fos_buckling": 1.0784680814397407,
      "fos_yielding": 3.2439912245532687,
      "deflection": 0.009184855361919906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.366)"
      },
      "parent_node_id": "node_2543",
      "improvement_over_parent": null
    },
    "node_2545": {
      "node_id": "node_2545",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 211.76 kg\n  Factor of Safety: 1.27\n  Max Deflection: 7.65e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.76054764896463,
      "fos_buckling": 1.2741814591634038,
      "fos_yielding": 3.9186190795215934,
      "deflection": 0.007648841296955012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_2544",
      "improvement_over_parent": null
    },
    "node_2546": {
      "node_id": "node_2546",
      "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 222.21 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.21369959389096,
      "fos_buckling": 1.3093049519599829,
      "fos_yielding": 4.02663790841154,
      "deflection": 0.00712462909524374,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.656)"
      },
      "parent_node_id": "node_2545",
      "improvement_over_parent": null
    },
    "node_2547": {
      "node_id": "node_2547",
      "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0050)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 223.22 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.04e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.22254772144805,
      "fos_buckling": 1.4504525917010687,
      "fos_yielding": 4.633900991104705,
      "deflection": 0.0070393785975579205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.337)"
      },
      "parent_node_id": "node_2546",
      "improvement_over_parent": null
    },
    "node_2548": {
      "node_id": "node_2548",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2547",
      "improvement_over_parent": null
    },
    "node_2549": {
      "node_id": "node_2549",
      "content": "INITIAL DESIGN (Trace 369)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 189.65 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.55e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.64710297230377,
      "fos_buckling": 1.0058950497695884,
      "fos_yielding": 5.094128883278057,
      "deflection": 0.009554282509566128,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2550": {
      "node_id": "node_2550",
      "content": "MODIFICATION: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 195.97 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.12e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.9734944539168,
      "fos_buckling": 1.0050614713257515,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.009123295226283254,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.418)"
      },
      "parent_node_id": "node_2549",
      "improvement_over_parent": null
    },
    "node_2551": {
      "node_id": "node_2551",
      "content": "MODIFICATION: Increase 6 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.94 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.93959448069214,
      "fos_buckling": 1.0037511161618062,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.008715496920704023,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.488)"
      },
      "parent_node_id": "node_2550",
      "improvement_over_parent": null
    },
    "node_2552": {
      "node_id": "node_2552",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.59889075753955,
      "fos_buckling": 1.525961799954919,
      "fos_yielding": 4.604215861737081,
      "deflection": 0.006970039302218228,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_2551",
      "improvement_over_parent": null
    },
    "node_2553": {
      "node_id": "node_2553",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2552",
      "improvement_over_parent": null
    },
    "node_2554": {
      "node_id": "node_2554",
      "content": "INITIAL DESIGN (Trace 370)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 156.27 kg\n  Factor of Safety: 0.81\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": 156.26531237668,
      "fos_buckling": 0.8147517934011109,
      "fos_yielding": 4.019656694292602,
      "deflection": 0.013531755669792717,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2555": {
      "node_id": "node_2555",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 175.88 kg\n  Factor of Safety: 0.81\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": 175.87739312752672,
      "fos_buckling": 0.8140286082761966,
      "fos_yielding": 4.008176940353976,
      "deflection": 0.013531825679952729,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005447)"
      },
      "parent_node_id": "node_2554",
      "improvement_over_parent": null
    },
    "node_2556": {
      "node_id": "node_2556",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n  Mass: 177.74 kg\n  Factor of Safety: 1.25\n  Max Deflection: 8.88e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.73941476563968,
      "fos_buckling": 1.2455250732760565,
      "fos_yielding": 3.601157759397034,
      "deflection": 0.008875258838690881,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002895)"
      },
      "parent_node_id": "node_2555",
      "improvement_over_parent": null
    },
    "node_2557": {
      "node_id": "node_2557",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7694450252762,
      "fos_buckling": 1.5267128754046781,
      "fos_yielding": 4.606997631700717,
      "deflection": 0.006964879229597596,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_2556",
      "improvement_over_parent": null
    },
    "node_2558": {
      "node_id": "node_2558",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 371)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0029)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0021)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0011)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n\nPerformance:\n  Mass: 100.12 kg\n  Factor of Safety: 0.66\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": 100.12403198108537,
      "fos_buckling": 0.6573060742499585,
      "fos_yielding": 2.0463457901019297,
      "deflection": 0.015811032800584223,
      "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: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n  Mass: 130.73 kg\n  Factor of Safety: 0.85\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": 130.7309879149836,
      "fos_buckling": 0.8483479755197653,
      "fos_yielding": 2.668935638104662,
      "deflection": 0.012148697257242599,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_2559",
      "improvement_over_parent": null
    },
    "node_2561": {
      "node_id": "node_2561",
      "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n  Mass: 131.13 kg\n  Factor of Safety: 0.96\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": 131.13236381717485,
      "fos_buckling": 0.9565709132633299,
      "fos_yielding": 2.661015010320908,
      "deflection": 0.011966216398268724,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.433)"
      },
      "parent_node_id": "node_2560",
      "improvement_over_parent": null
    },
    "node_2562": {
      "node_id": "node_2562",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 164.48 kg\n  Factor of Safety: 1.17\n  Max Deflection: 9.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.48470134359917,
      "fos_buckling": 1.1660400259332937,
      "fos_yielding": 3.334046035493464,
      "deflection": 0.009575931350526645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_2561",
      "improvement_over_parent": null
    },
    "node_2563": {
      "node_id": "node_2563",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 194.17 kg\n  Factor of Safety: 1.34\n  Max Deflection: 8.14e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.1717509841846,
      "fos_buckling": 1.3412003207001475,
      "fos_yielding": 3.9318346387765453,
      "deflection": 0.008139071960403874,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_2562",
      "improvement_over_parent": null
    },
    "node_2564": {
      "node_id": "node_2564",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.58234408021994,
      "fos_buckling": 1.5257501748672662,
      "fos_yielding": 4.603165745657044,
      "deflection": 0.006970330842149814,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2563",
      "improvement_over_parent": null
    },
    "node_2565": {
      "node_id": "node_2565",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2564",
      "improvement_over_parent": null
    },
    "node_2566": {
      "node_id": "node_2566",
      "content": "INITIAL DESIGN (Trace 372)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n\nPerformance:\n  Mass: 66.93 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.18e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 66.93276017346409,
      "fos_buckling": 0.6271697770988474,
      "fos_yielding": 1.6009470335903813,
      "deflection": 117507859080282.0,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2567": {
      "node_id": "node_2567",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0022)]\n\nPerformance:\n  Mass: 74.42 kg\n  Factor of Safety: 0.23\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": 74.41756608108295,
      "fos_buckling": 0.23240951528432302,
      "fos_yielding": 1.7767938272313397,
      "deflection": 0.03878328996437293,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.002220)"
      },
      "parent_node_id": "node_2566",
      "improvement_over_parent": null
    },
    "node_2568": {
      "node_id": "node_2568",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0022)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n\nPerformance:\n  Mass: 89.82 kg\n  Factor of Safety: 0.23\n  Max Deflection: 2.77e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 89.81884349749063,
      "fos_buckling": 0.23193427045714676,
      "fos_yielding": 1.8406095852379012,
      "deflection": 0.02772533167314501,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.003665)"
      },
      "parent_node_id": "node_2567",
      "improvement_over_parent": null
    },
    "node_2569": {
      "node_id": "node_2569",
      "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0022)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n\nPerformance:\n  Mass: 90.59 kg\n  Factor of Safety: 0.23\n  Max Deflection: 2.76e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 90.587182105568,
      "fos_buckling": 0.23193427045714665,
      "fos_yielding": 1.8406095852379012,
      "deflection": 0.027583486665765995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.391)"
      },
      "parent_node_id": "node_2568",
      "improvement_over_parent": null
    },
    "node_2570": {
      "node_id": "node_2570",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n\nPerformance:\n  Mass: 114.61 kg\n  Factor of Safety: 0.29\n  Max Deflection: 2.18e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 114.60707392837459,
      "fos_buckling": 0.2890412837863725,
      "fos_yielding": 2.3257356888109806,
      "deflection": 0.021841464441179757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_2569",
      "improvement_over_parent": null
    },
    "node_2571": {
      "node_id": "node_2571",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0055)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n\nPerformance:\n  Mass: 149.90 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.67e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.90447425029134,
      "fos_buckling": 0.36964236452582333,
      "fos_yielding": 3.0363849707970556,
      "deflection": 0.016741206859562967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_2570",
      "improvement_over_parent": null
    },
    "node_2572": {
      "node_id": "node_2572",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0055)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 175.67 kg\n  Factor of Safety: 1.17\n  Max Deflection: 8.91e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.67171907372213,
      "fos_buckling": 1.173605801736124,
      "fos_yielding": 3.660768800789161,
      "deflection": 0.008909423931559152,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006268)"
      },
      "parent_node_id": "node_2571",
      "improvement_over_parent": null
    },
    "node_2573": {
      "node_id": "node_2573",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0071)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 223.56 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.04e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.5619763942419,
      "fos_buckling": 1.4480634634693734,
      "fos_yielding": 4.649966924436677,
      "deflection": 0.007039020691401262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_2572",
      "improvement_over_parent": null
    },
    "node_2574": {
      "node_id": "node_2574",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2573",
      "improvement_over_parent": null
    },
    "node_2575": {
      "node_id": "node_2575",
      "content": "INITIAL DESIGN (Trace 373)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 154.88 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.8766430580163,
      "fos_buckling": 0.8394901783804222,
      "fos_yielding": 2.137149649029448,
      "deflection": 0.010304053880031798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2576": {
      "node_id": "node_2576",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 201.32 kg\n  Factor of Safety: 1.07\n  Max Deflection: 7.97e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.31870507602255,
      "fos_buckling": 1.0712282534954816,
      "fos_yielding": 2.792105830039081,
      "deflection": 0.007965663055995076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_2575",
      "improvement_over_parent": null
    },
    "node_2577": {
      "node_id": "node_2577",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 226.06 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.11e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.06492115918203,
      "fos_buckling": 1.1908945942673457,
      "fos_yielding": 3.144436692540061,
      "deflection": 0.00711197083632658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_2576",
      "improvement_over_parent": null
    },
    "node_2578": {
      "node_id": "node_2578",
      "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 226.65 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.6454348333506,
      "fos_buckling": 1.3612246776481596,
      "fos_yielding": 3.666287883012662,
      "deflection": 0.007047031278780333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.183)"
      },
      "parent_node_id": "node_2577",
      "improvement_over_parent": null
    },
    "node_2579": {
      "node_id": "node_2579",
      "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.69 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.68749532203037,
      "fos_buckling": 1.5262198202805382,
      "fos_yielding": 4.602928511644513,
      "deflection": 0.00696740722863925,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.287)"
      },
      "parent_node_id": "node_2578",
      "improvement_over_parent": null
    },
    "node_2580": {
      "node_id": "node_2580",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2579",
      "improvement_over_parent": null
    },
    "node_2581": {
      "node_id": "node_2581",
      "content": "INITIAL DESIGN (Trace 374)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 137.83 kg\n  Factor of Safety: 0.74\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": 137.829322044666,
      "fos_buckling": 0.7412191012945513,
      "fos_yielding": 2.628965349395286,
      "deflection": 0.012686564586758771,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2582": {
      "node_id": "node_2582",
      "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 141.47 kg\n  Factor of Safety: 0.74\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": 141.47224630609196,
      "fos_buckling": 0.7408629789685137,
      "fos_yielding": 2.628965349395286,
      "deflection": 0.012507906336740005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.274)"
      },
      "parent_node_id": "node_2581",
      "improvement_over_parent": null
    },
    "node_2583": {
      "node_id": "node_2583",
      "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 142.39 kg\n  Factor of Safety: 0.74\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": 142.39346741892632,
      "fos_buckling": 0.7408629789685137,
      "fos_yielding": 3.5716849988605004,
      "deflection": 0.012507906336740003,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.381)"
      },
      "parent_node_id": "node_2582",
      "improvement_over_parent": null
    },
    "node_2584": {
      "node_id": "node_2584",
      "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 142.90 kg\n  Factor of Safety: 0.74\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": 142.89971557346692,
      "fos_buckling": 0.7407640608586596,
      "fos_yielding": 3.5716849988605004,
      "deflection": 0.012465092065413554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.468)"
      },
      "parent_node_id": "node_2583",
      "improvement_over_parent": null
    },
    "node_2585": {
      "node_id": "node_2585",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n\nPerformance:\n  Mass: 157.93 kg\n  Factor of Safety: 1.13\n  Max Deflection: 9.97e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.92660297768413,
      "fos_buckling": 1.125930310044597,
      "fos_yielding": 3.201993547597876,
      "deflection": 0.009966170105342911,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004594)"
      },
      "parent_node_id": "node_2584",
      "improvement_over_parent": null
    },
    "node_2586": {
      "node_id": "node_2586",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n  Mass: 202.93 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.80e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.92575875688783,
      "fos_buckling": 1.3908520871585492,
      "fos_yielding": 4.108087510278551,
      "deflection": 0.007795620390009059,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_2585",
      "improvement_over_parent": null
    },
    "node_2587": {
      "node_id": "node_2587",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6715571484432,
      "fos_buckling": 1.5262398757549842,
      "fos_yielding": 4.605187327011541,
      "deflection": 0.006967652864666122,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_2586",
      "improvement_over_parent": null
    },
    "node_2588": {
      "node_id": "node_2588",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2587",
      "improvement_over_parent": null
    },
    "node_2589": {
      "node_id": "node_2589",
      "content": "INITIAL DESIGN (Trace 375)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 139.54 kg\n  Factor of Safety: 0.50\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": 139.54224206531015,
      "fos_buckling": 0.49859420658536163,
      "fos_yielding": 3.1183651091250213,
      "deflection": 0.016892592127377842,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2590": {
      "node_id": "node_2590",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 160.09 kg\n  Factor of Safety: 0.82\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": 160.08993077310208,
      "fos_buckling": 0.8241603039226432,
      "fos_yielding": 3.670021630251391,
      "deflection": 0.011213453228381987,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004926)"
      },
      "parent_node_id": "node_2589",
      "improvement_over_parent": null
    },
    "node_2591": {
      "node_id": "node_2591",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n\nPerformance:\n  Mass: 177.93 kg\n  Factor of Safety: 1.09\n  Max Deflection: 8.95e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.93303726557136,
      "fos_buckling": 1.0902598675112867,
      "fos_yielding": 3.6826299539773952,
      "deflection": 0.008950683232919808,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005459)"
      },
      "parent_node_id": "node_2590",
      "improvement_over_parent": null
    },
    "node_2592": {
      "node_id": "node_2592",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 220.35 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.26e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.35027090550798,
      "fos_buckling": 1.3129689448275594,
      "fos_yielding": 4.552255183155163,
      "deflection": 0.007260186162776121,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_2591",
      "improvement_over_parent": null
    },
    "node_2593": {
      "node_id": "node_2593",
      "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0090)]\n\nPerformance:\n  Mass: 226.40 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.16e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.40028125157946,
      "fos_buckling": 1.310477063049629,
      "fos_yielding": 4.552776092985849,
      "deflection": 0.007159330896845468,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.311)"
      },
      "parent_node_id": "node_2592",
      "improvement_over_parent": null
    },
    "node_2594": {
      "node_id": "node_2594",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2593",
      "improvement_over_parent": null
    },
    "node_2595": {
      "node_id": "node_2595",
      "content": "INITIAL DESIGN (Trace 376)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0035)]\n\nPerformance:\n  Mass: 105.87 kg\n  Factor of Safety: 0.60\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": 105.87022859283732,
      "fos_buckling": 0.6013327444512249,
      "fos_yielding": 2.567810604749778,
      "deflection": 0.016586695787111465,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2596": {
      "node_id": "node_2596",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 131.40 kg\n  Factor of Safety: 0.73\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": 131.3971901973193,
      "fos_buckling": 0.7264864617233844,
      "fos_yielding": 3.1813073965987764,
      "deflection": 0.013407087622373004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_2595",
      "improvement_over_parent": null
    },
    "node_2597": {
      "node_id": "node_2597",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 151.57 kg\n  Factor of Safety: 0.82\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": 151.56530306382928,
      "fos_buckling": 0.8200497383300297,
      "fos_yielding": 3.664364970243374,
      "deflection": 0.011652414879038894,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_2596",
      "improvement_over_parent": null
    },
    "node_2598": {
      "node_id": "node_2598",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 189.40 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.37e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.39975850728854,
      "fos_buckling": 0.9830849388639821,
      "fos_yielding": 4.566472614002428,
      "deflection": 0.009368942053073943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_2597",
      "improvement_over_parent": null
    },
    "node_2599": {
      "node_id": "node_2599",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 211.49 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.53e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.49090663594885,
      "fos_buckling": 1.3159761402416523,
      "fos_yielding": 4.58049107720876,
      "deflection": 0.007532491946629925,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2598",
      "improvement_over_parent": null
    },
    "node_2600": {
      "node_id": "node_2600",
      "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 215.39 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.38e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.39408506867474,
      "fos_buckling": 1.280127927889946,
      "fos_yielding": 4.604123150264469,
      "deflection": 0.00737863308794945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.176)"
      },
      "parent_node_id": "node_2599",
      "improvement_over_parent": null
    },
    "node_2601": {
      "node_id": "node_2601",
      "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0087)]\n\nPerformance:\n  Mass: 220.65 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.29e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.6510171274656,
      "fos_buckling": 1.2781285926395962,
      "fos_yielding": 4.604581227651619,
      "deflection": 0.007288510560704575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.269)"
      },
      "parent_node_id": "node_2600",
      "improvement_over_parent": null
    },
    "node_2602": {
      "node_id": "node_2602",
      "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0086)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0087)]\n\nPerformance:\n  Mass: 228.69 kg\n  Factor of Safety: 1.51\n  Max Deflection: 6.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 228.6928477231222,
      "fos_buckling": 1.5079254468477479,
      "fos_yielding": 4.656890555855348,
      "deflection": 0.0069544029903372126,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.337)"
      },
      "parent_node_id": "node_2601",
      "improvement_over_parent": null
    },
    "node_2603": {
      "node_id": "node_2603",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2602",
      "improvement_over_parent": null
    },
    "node_2604": {
      "node_id": "node_2604",
      "content": "INITIAL DESIGN (Trace 377)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 162.96 kg\n  Factor of Safety: 0.91\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": 162.96162545923656,
      "fos_buckling": 0.9060158625291691,
      "fos_yielding": 4.648399911359206,
      "deflection": 0.011831424989256595,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2605": {
      "node_id": "node_2605",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n  Mass: 185.65 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.74e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.64894075875736,
      "fos_buckling": 0.9033199505483311,
      "fos_yielding": 4.146233828848944,
      "deflection": 0.009741670827373657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006375)"
      },
      "parent_node_id": "node_2604",
      "improvement_over_parent": null
    },
    "node_2606": {
      "node_id": "node_2606",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n\nPerformance:\n  Mass: 198.07 kg\n  Factor of Safety: 1.20\n  Max Deflection: 7.96e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.06927423952826,
      "fos_buckling": 1.1962074458458716,
      "fos_yielding": 4.159955208333399,
      "deflection": 0.007962764341878172,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003716)"
      },
      "parent_node_id": "node_2605",
      "improvement_over_parent": null
    },
    "node_2607": {
      "node_id": "node_2607",
      "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0101)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n\nPerformance:\n  Mass: 209.22 kg\n  Factor of Safety: 1.20\n  Max Deflection: 7.77e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.22308125510617,
      "fos_buckling": 1.1986940781113475,
      "fos_yielding": 4.112220498690396,
      "deflection": 0.007772156743522254,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.658)"
      },
      "parent_node_id": "node_2606",
      "improvement_over_parent": null
    },
    "node_2608": {
      "node_id": "node_2608",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0113)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n\nPerformance:\n  Mass: 231.31 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.04e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.3109198804675,
      "fos_buckling": 1.3114345102626719,
      "fos_yielding": 4.546901078314085,
      "deflection": 0.0070420729336981075,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_2607",
      "improvement_over_parent": null
    },
    "node_2609": {
      "node_id": "node_2609",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2608",
      "improvement_over_parent": null
    },
    "node_2610": {
      "node_id": "node_2610",
      "content": "INITIAL DESIGN (Trace 378)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2611": {
      "node_id": "node_2611",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 205.97 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.97188222241053,
      "fos_buckling": 1.003746876482228,
      "fos_yielding": 5.143770618251928,
      "deflection": 0.008714548761923006,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2610",
      "improvement_over_parent": null
    },
    "node_2612": {
      "node_id": "node_2612",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63117849925794,
      "fos_buckling": 1.5259805252727332,
      "fos_yielding": 4.604198403842038,
      "deflection": 0.006969005084043683,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_2611",
      "improvement_over_parent": null
    },
    "node_2613": {
      "node_id": "node_2613",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 379)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0016)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n\nPerformance:\n  Mass: 81.31 kg\n  Factor of Safety: 0.22\n  Max Deflection: 8.41e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 81.31253236337248,
      "fos_buckling": 0.22054861754607297,
      "fos_yielding": 2.305160251582715,
      "deflection": 84103042679754.8,
      "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 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n\nPerformance:\n  Mass: 106.20 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.48e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 106.19839673511984,
      "fos_buckling": 0.3359876084516976,
      "fos_yielding": 1.8274376702109523,
      "deflection": 34832758781810.445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_2614",
      "improvement_over_parent": null
    },
    "node_2616": {
      "node_id": "node_2616",
      "content": "MODIFICATION: Increase 4 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n\nPerformance:\n  Mass: 107.01 kg\n  Factor of Safety: 0.34\n  Max Deflection: 1.98e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.00748165901467,
      "fos_buckling": 0.3359876084516976,
      "fos_yielding": 1.8274376702109523,
      "deflection": 19812901483281.863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.437)"
      },
      "parent_node_id": "node_2615",
      "improvement_over_parent": null
    },
    "node_2617": {
      "node_id": "node_2617",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n  Mass: 134.92 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.19e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.9191734478648,
      "fos_buckling": 0.656111470594404,
      "fos_yielding": 3.6548753404219045,
      "deflection": 11899664531553.52,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_2616",
      "improvement_over_parent": null
    },
    "node_2618": {
      "node_id": "node_2618",
      "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n  Mass: 135.20 kg\n  Factor of Safety: 0.86\n  Max Deflection: 4.66e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.19820669515417,
      "fos_buckling": 0.8614037039526519,
      "fos_yielding": 4.100269493859477,
      "deflection": 46551676375504.61,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.185)"
      },
      "parent_node_id": "node_2617",
      "improvement_over_parent": null
    },
    "node_2619": {
      "node_id": "node_2619",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 161.31 kg\n  Factor of Safety: 0.83\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": 161.30970023300185,
      "fos_buckling": 0.8336563447470722,
      "fos_yielding": 4.100269493859477,
      "deflection": 0.010882374280339172,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006358)"
      },
      "parent_node_id": "node_2618",
      "improvement_over_parent": null
    },
    "node_2620": {
      "node_id": "node_2620",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 181.32 kg\n  Factor of Safety: 1.27\n  Max Deflection: 8.70e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.32045632359862,
      "fos_buckling": 1.2667305536975972,
      "fos_yielding": 3.673075385202571,
      "deflection": 0.008703535113043611,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005566)"
      },
      "parent_node_id": "node_2619",
      "improvement_over_parent": null
    },
    "node_2621": {
      "node_id": "node_2621",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.57 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.56626887626777,
      "fos_buckling": 1.525725902323557,
      "fos_yielding": 4.602684954615358,
      "deflection": 0.006970974107042418,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_2620",
      "improvement_over_parent": null
    },
    "node_2622": {
      "node_id": "node_2622",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2621",
      "improvement_over_parent": null
    },
    "node_2623": {
      "node_id": "node_2623",
      "content": "INITIAL DESIGN (Trace 380)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0027)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0024)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0019)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0018)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0010)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0019)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0028)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0025)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0028)]\n\nPerformance:\n  Mass: 81.35 kg\n  Factor of Safety: 0.58\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": 81.35277063513297,
      "fos_buckling": 0.5834682688675635,
      "fos_yielding": 1.7021562961503123,
      "deflection": 0.019287720599977878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2624": {
      "node_id": "node_2624",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0023)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0021)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0012)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n\nPerformance:\n  Mass: 97.76 kg\n  Factor of Safety: 0.70\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": 97.75889071841662,
      "fos_buckling": 0.6963030593923502,
      "fos_yielding": 2.044012484434434,
      "deflection": 0.016079600222609326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_2623",
      "improvement_over_parent": null
    },
    "node_2625": {
      "node_id": "node_2625",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0030)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n  Mass: 128.04 kg\n  Factor of Safety: 0.90\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": 128.04435832242095,
      "fos_buckling": 0.9002614054322284,
      "fos_yielding": 2.6738046732673295,
      "deflection": 0.012316950172480863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_2624",
      "improvement_over_parent": null
    },
    "node_2626": {
      "node_id": "node_2626",
      "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n  Mass: 130.34 kg\n  Factor of Safety: 0.88\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": 130.34375209852723,
      "fos_buckling": 0.8768278304182721,
      "fos_yielding": 2.65882086187046,
      "deflection": 0.012162521407658333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.238)"
      },
      "parent_node_id": "node_2625",
      "improvement_over_parent": null
    },
    "node_2627": {
      "node_id": "node_2627",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 149.42 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.4249770132341,
      "fos_buckling": 0.9971776394174607,
      "fos_yielding": 3.045959400122028,
      "deflection": 0.010631020108811865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_2626",
      "improvement_over_parent": null
    },
    "node_2628": {
      "node_id": "node_2628",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 187.45 kg\n  Factor of Safety: 1.23\n  Max Deflection: 8.51e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.44875023922117,
      "fos_buckling": 1.2307622630152415,
      "fos_yielding": 3.8158295469113934,
      "deflection": 0.008508827272754026,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_2627",
      "improvement_over_parent": null
    },
    "node_2629": {
      "node_id": "node_2629",
      "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 187.95 kg\n  Factor of Safety: 1.31\n  Max Deflection: 8.40e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.95003691853216,
      "fos_buckling": 1.3053687702268426,
      "fos_yielding": 3.8063928597900585,
      "deflection": 0.00840309472819453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.368)"
      },
      "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 (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.82 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.82458210025007,
      "fos_buckling": 1.5270470099754825,
      "fos_yielding": 4.607719265757965,
      "deflection": 0.006963501325764683,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.233)"
      },
      "parent_node_id": "node_2629",
      "improvement_over_parent": null
    },
    "node_2631": {
      "node_id": "node_2631",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2630",
      "improvement_over_parent": null
    },
    "node_2632": {
      "node_id": "node_2632",
      "content": "INITIAL DESIGN (Trace 381)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 115.81 kg\n  Factor of Safety: 0.70\n  Max Deflection: 7.26e+11 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.81321487723727,
      "fos_buckling": 0.6969264967778611,
      "fos_yielding": 2.227563592004651,
      "deflection": 726026818095.1189,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2633": {
      "node_id": "node_2633",
      "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 116.93 kg\n  Factor of Safety: 0.70\n  Max Deflection: 7.26e+11 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.93095776375057,
      "fos_buckling": 0.6969264967778611,
      "fos_yielding": 3.366218959714239,
      "deflection": 726026818095.1178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.541)"
      },
      "parent_node_id": "node_2632",
      "improvement_over_parent": null
    },
    "node_2634": {
      "node_id": "node_2634",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n\nPerformance:\n  Mass: 133.76 kg\n  Factor of Safety: 0.70\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": 133.75991343711996,
      "fos_buckling": 0.7035138481843589,
      "fos_yielding": 3.38195417161263,
      "deflection": 0.016022056771373965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004576)"
      },
      "parent_node_id": "node_2633",
      "improvement_over_parent": null
    },
    "node_2635": {
      "node_id": "node_2635",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n  Mass: 156.49 kg\n  Factor of Safety: 0.81\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": 156.49386681929994,
      "fos_buckling": 0.8077129356322048,
      "fos_yielding": 3.9555977464788397,
      "deflection": 0.013712186098429857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_2634",
      "improvement_over_parent": null
    },
    "node_2636": {
      "node_id": "node_2636",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n\nPerformance:\n  Mass: 173.14 kg\n  Factor of Safety: 0.80\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": 173.14237877128818,
      "fos_buckling": 0.8032202103968987,
      "fos_yielding": 3.945552760682508,
      "deflection": 0.013742843623918043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005125)"
      },
      "parent_node_id": "node_2635",
      "improvement_over_parent": null
    },
    "node_2637": {
      "node_id": "node_2637",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 225.20 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.20087898173895,
      "fos_buckling": 0.9995732920973984,
      "fos_yielding": 5.12103874965321,
      "deflection": 0.010601319450201173,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_2636",
      "improvement_over_parent": null
    },
    "node_2638": {
      "node_id": "node_2638",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5855612933251,
      "fos_buckling": 1.5257235240157094,
      "fos_yielding": 4.602477280146337,
      "deflection": 0.00697032135987875,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_2637",
      "improvement_over_parent": null
    },
    "node_2639": {
      "node_id": "node_2639",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2638",
      "improvement_over_parent": null
    },
    "node_2640": {
      "node_id": "node_2640",
      "content": "INITIAL DESIGN (Trace 382)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0018)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0035)]\n\nPerformance:\n  Mass: 94.34 kg\n  Factor of Safety: 0.65\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": 94.34046134358617,
      "fos_buckling": 0.6537362847752648,
      "fos_yielding": 2.094041122312127,
      "deflection": 0.01675724267117208,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2641": {
      "node_id": "node_2641",
      "content": "MODIFICATION: Increase 3 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0022)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0029)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0035)]\n\nPerformance:\n  Mass: 97.77 kg\n  Factor of Safety: 0.74\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": 97.77481200119287,
      "fos_buckling": 0.7424855416101485,
      "fos_yielding": 2.0673638772444827,
      "deflection": 0.016292199639812686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.570)"
      },
      "parent_node_id": "node_2640",
      "improvement_over_parent": null
    },
    "node_2642": {
      "node_id": "node_2642",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0042)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n  Mass: 117.61 kg\n  Factor of Safety: 0.88\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": 117.60815836363477,
      "fos_buckling": 0.8779400609223806,
      "fos_yielding": 2.484446668444446,
      "deflection": 0.013572640075302737,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_2641",
      "improvement_over_parent": null
    },
    "node_2643": {
      "node_id": "node_2643",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 148.38 kg\n  Factor of Safety: 1.08\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": 148.37586807924413,
      "fos_buckling": 1.0781872970220734,
      "fos_yielding": 3.129915726577669,
      "deflection": 0.01079240559566605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_2642",
      "improvement_over_parent": null
    },
    "node_2644": {
      "node_id": "node_2644",
      "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 154.27 kg\n  Factor of Safety: 1.10\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.2653825134215,
      "fos_buckling": 1.1033115260771156,
      "fos_yielding": 3.127729454068623,
      "deflection": 0.010198945302092465,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.479)"
      },
      "parent_node_id": "node_2643",
      "improvement_over_parent": null
    },
    "node_2645": {
      "node_id": "node_2645",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 193.13 kg\n  Factor of Safety: 1.34\n  Max Deflection: 8.18e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.1330279399597,
      "fos_buckling": 1.3352786841836024,
      "fos_yielding": 3.910620532647284,
      "deflection": 0.00818223845659414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_2644",
      "improvement_over_parent": null
    },
    "node_2646": {
      "node_id": "node_2646",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.59693833788074,
      "fos_buckling": 1.525863721295068,
      "fos_yielding": 4.603089366436808,
      "deflection": 0.0069701865324388315,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_2645",
      "improvement_over_parent": null
    },
    "node_2647": {
      "node_id": "node_2647",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2646",
      "improvement_over_parent": null
    },
    "node_2648": {
      "node_id": "node_2648",
      "content": "INITIAL DESIGN (Trace 383)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n  Mass: 148.28 kg\n  Factor of Safety: 0.54\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": 148.28418247378315,
      "fos_buckling": 0.5412650757213824,
      "fos_yielding": 3.436541803840465,
      "deflection": 0.016142519701900976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2649": {
      "node_id": "node_2649",
      "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n  Mass: 153.48 kg\n  Factor of Safety: 0.54\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": 153.4755617977003,
      "fos_buckling": 0.5408949637332461,
      "fos_yielding": 3.435956900202981,
      "deflection": 0.015462859374751716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.238)"
      },
      "parent_node_id": "node_2648",
      "improvement_over_parent": null
    },
    "node_2650": {
      "node_id": "node_2650",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 172.34 kg\n  Factor of Safety: 0.59\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": 172.3356843807443,
      "fos_buckling": 0.5941841540190174,
      "fos_yielding": 3.8543795690094216,
      "deflection": 0.013799288437950828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_2649",
      "improvement_over_parent": null
    },
    "node_2651": {
      "node_id": "node_2651",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.11 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.83e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.1132791236298,
      "fos_buckling": 0.9806185029876504,
      "fos_yielding": 4.591022788424571,
      "deflection": 0.00883323117084532,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_2650",
      "improvement_over_parent": null
    },
    "node_2652": {
      "node_id": "node_2652",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.54 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.54390073901402,
      "fos_buckling": 0.9805080138555634,
      "fos_yielding": 4.587256808478163,
      "deflection": 0.008819762768870035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.242)"
      },
      "parent_node_id": "node_2651",
      "improvement_over_parent": null
    },
    "node_2653": {
      "node_id": "node_2653",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63504886767433,
      "fos_buckling": 1.5259807703222446,
      "fos_yielding": 4.6042542385535254,
      "deflection": 0.0069689137718530235,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2652",
      "improvement_over_parent": null
    },
    "node_2654": {
      "node_id": "node_2654",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2653",
      "improvement_over_parent": null
    },
    "node_2655": {
      "node_id": "node_2655",
      "content": "INITIAL DESIGN (Trace 384)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n\nPerformance:\n  Mass: 100.88 kg\n  Factor of Safety: 0.44\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": 100.87913119837536,
      "fos_buckling": 0.4351599346472072,
      "fos_yielding": 2.81564059636951,
      "deflection": 0.023303155650322673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2656": {
      "node_id": "node_2656",
      "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 105.77 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.21e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 105.77201175504979,
      "fos_buckling": 0.4348777880813696,
      "fos_yielding": 2.8150637627443373,
      "deflection": 0.022087666160868623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.311)"
      },
      "parent_node_id": "node_2655",
      "improvement_over_parent": null
    },
    "node_2657": {
      "node_id": "node_2657",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 131.32 kg\n  Factor of Safety: 0.52\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": 131.31608794399796,
      "fos_buckling": 0.5233791578980039,
      "fos_yielding": 3.4868036342279383,
      "deflection": 0.017832734552093596,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_2656",
      "improvement_over_parent": null
    },
    "node_2658": {
      "node_id": "node_2658",
      "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 138.75 kg\n  Factor of Safety: 0.52\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": 138.74634189313718,
      "fos_buckling": 0.5228659995330847,
      "fos_yielding": 3.485721050037885,
      "deflection": 0.016379647495047132,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.511)"
      },
      "parent_node_id": "node_2657",
      "improvement_over_parent": null
    },
    "node_2659": {
      "node_id": "node_2659",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n  Mass: 159.23 kg\n  Factor of Safety: 0.52\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": 159.22782932291182,
      "fos_buckling": 0.5214566748586422,
      "fos_yielding": 3.4827403853090706,
      "deflection": 0.014535084542601714,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005707)"
      },
      "parent_node_id": "node_2658",
      "improvement_over_parent": null
    },
    "node_2660": {
      "node_id": "node_2660",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n\nPerformance:\n  Mass: 185.64 kg\n  Factor of Safety: 1.29\n  Max Deflection: 8.50e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.6418995493687,
      "fos_buckling": 1.2917292042810782,
      "fos_yielding": 3.7599403036241745,
      "deflection": 0.0085048469329647,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006481)"
      },
      "parent_node_id": "node_2659",
      "improvement_over_parent": null
    },
    "node_2661": {
      "node_id": "node_2661",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.57 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.57125795620675,
      "fos_buckling": 1.5254269581060445,
      "fos_yielding": 4.60263545603416,
      "deflection": 0.006970644120699052,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_2660",
      "improvement_over_parent": null
    },
    "node_2662": {
      "node_id": "node_2662",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2661",
      "improvement_over_parent": null
    },
    "node_2663": {
      "node_id": "node_2663",
      "content": "INITIAL DESIGN (Trace 385)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n\nPerformance:\n  Mass: 101.63 kg\n  Factor of Safety: 0.55\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": 101.6298603533933,
      "fos_buckling": 0.5506695716166375,
      "fos_yielding": 2.6100600319737404,
      "deflection": 0.02067466440286806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2664": {
      "node_id": "node_2664",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 131.11 kg\n  Factor of Safety: 0.69\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": 131.10756964894293,
      "fos_buckling": 0.6904420648095438,
      "fos_yielding": 3.3613500129329053,
      "deflection": 0.016060768677117792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_2663",
      "improvement_over_parent": null
    },
    "node_2665": {
      "node_id": "node_2665",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n\nPerformance:\n  Mass: 147.93 kg\n  Factor of Safety: 0.70\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": 147.93305341427674,
      "fos_buckling": 0.7006765754218568,
      "fos_yielding": 3.375111918305196,
      "deflection": 0.016059381132170782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004575)"
      },
      "parent_node_id": "node_2664",
      "improvement_over_parent": null
    },
    "node_2666": {
      "node_id": "node_2666",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n  Mass: 178.94 kg\n  Factor of Safety: 0.83\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": 178.93713295122308,
      "fos_buckling": 0.8260638363456305,
      "fos_yielding": 4.077328128682106,
      "deflection": 0.013303283280722394,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_2665",
      "improvement_over_parent": null
    },
    "node_2667": {
      "node_id": "node_2667",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n  Mass: 203.31 kg\n  Factor of Safety: 0.92\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": 203.3099604429648,
      "fos_buckling": 0.9194797428898054,
      "fos_yielding": 4.628110528114182,
      "deflection": 0.011726803912639,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_2666",
      "improvement_over_parent": null
    },
    "node_2668": {
      "node_id": "node_2668",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n  Mass: 205.47 kg\n  Factor of Safety: 1.41\n  Max Deflection: 7.70e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.46557849324955,
      "fos_buckling": 1.405080256683301,
      "fos_yielding": 4.158820890185094,
      "deflection": 0.007701352670451586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003391)"
      },
      "parent_node_id": "node_2667",
      "improvement_over_parent": null
    },
    "node_2669": {
      "node_id": "node_2669",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.34 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.34351429509516,
      "fos_buckling": 1.5244918353110632,
      "fos_yielding": 4.598246855657211,
      "deflection": 0.006977357974960917,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_2668",
      "improvement_over_parent": null
    },
    "node_2670": {
      "node_id": "node_2670",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2669",
      "improvement_over_parent": null
    },
    "node_2671": {
      "node_id": "node_2671",
      "content": "INITIAL DESIGN (Trace 386)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n  Mass: 158.64 kg\n  Factor of Safety: 0.77\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": 158.64477372643123,
      "fos_buckling": 0.7663705515806368,
      "fos_yielding": 3.740381332985022,
      "deflection": 0.01450706182951934,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2672": {
      "node_id": "node_2672",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 179.89 kg\n  Factor of Safety: 0.85\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": 179.89088760811632,
      "fos_buckling": 0.8531280782510452,
      "fos_yielding": 4.236987192737944,
      "deflection": 0.012814726178450982,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_2671",
      "improvement_over_parent": null
    },
    "node_2673": {
      "node_id": "node_2673",
      "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 185.84 kg\n  Factor of Safety: 0.85\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": 185.83500618572003,
      "fos_buckling": 0.8529848117889317,
      "fos_yielding": 4.2334606461001085,
      "deflection": 0.012814738722023338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.433)"
      },
      "parent_node_id": "node_2672",
      "improvement_over_parent": null
    },
    "node_2674": {
      "node_id": "node_2674",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n\nPerformance:\n  Mass: 187.80 kg\n  Factor of Safety: 1.30\n  Max Deflection: 8.41e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.8020585084338,
      "fos_buckling": 1.3044614092449642,
      "fos_yielding": 3.803828457183741,
      "deflection": 0.008409250508542049,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003071)"
      },
      "parent_node_id": "node_2673",
      "improvement_over_parent": null
    },
    "node_2675": {
      "node_id": "node_2675",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.64877360825733,
      "fos_buckling": 1.5260493138532067,
      "fos_yielding": 4.604682951040249,
      "deflection": 0.006968478613981265,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.233)"
      },
      "parent_node_id": "node_2674",
      "improvement_over_parent": null
    },
    "node_2676": {
      "node_id": "node_2676",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2675",
      "improvement_over_parent": null
    },
    "node_2677": {
      "node_id": "node_2677",
      "content": "INITIAL DESIGN (Trace 387)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 200.23 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.86e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.2292070491969,
      "fos_buckling": 1.0045461591024893,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.00885552310779858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2678": {
      "node_id": "node_2678",
      "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.64 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.73e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.6425767204628,
      "fos_buckling": 1.0038347082446968,
      "fos_yielding": 5.143771275167357,
      "deflection": 0.008725127934716338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.294)"
      },
      "parent_node_id": "node_2677",
      "improvement_over_parent": null
    },
    "node_2679": {
      "node_id": "node_2679",
      "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.98 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.9814497413188,
      "fos_buckling": 1.0037457066035524,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.008714325521971456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.182)"
      },
      "parent_node_id": "node_2678",
      "improvement_over_parent": null
    },
    "node_2680": {
      "node_id": "node_2680",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.64074601816623,
      "fos_buckling": 1.525946413905192,
      "fos_yielding": 4.604217573450651,
      "deflection": 0.006968877982835401,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_2679",
      "improvement_over_parent": null
    },
    "node_2681": {
      "node_id": "node_2681",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2680",
      "improvement_over_parent": null
    },
    "node_2682": {
      "node_id": "node_2682",
      "content": "INITIAL DESIGN (Trace 388)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0029)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 133.91 kg\n  Factor of Safety: 0.63\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": 133.91032902861838,
      "fos_buckling": 0.634446946671324,
      "fos_yielding": 3.6548753404219045,
      "deflection": 11843467546311.645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2683": {
      "node_id": "node_2683",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0034)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 153.57 kg\n  Factor of Safety: 1.56\n  Max Deflection: 1.57e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 153.57159476315752,
      "fos_buckling": 1.559490287907379,
      "fos_yielding": 6.976513527327437,
      "deflection": 15702598463879.775,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_2682",
      "improvement_over_parent": null
    },
    "node_2684": {
      "node_id": "node_2684",
      "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 159.49 kg\n  Factor of Safety: 0.50\n  Max Deflection: 2.93e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.49066346988886,
      "fos_buckling": 0.5015252876320303,
      "fos_yielding": 5.8262299830703626,
      "deflection": 29332263630759.523,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.565)"
      },
      "parent_node_id": "node_2683",
      "improvement_over_parent": null
    },
    "node_2685": {
      "node_id": "node_2685",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 181.58 kg\n  Factor of Safety: 0.62\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": 181.58181159854917,
      "fos_buckling": 0.617216794438679,
      "fos_yielding": 4.264027295201364,
      "deflection": 0.012488927452636809,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2684",
      "improvement_over_parent": null
    },
    "node_2686": {
      "node_id": "node_2686",
      "content": "MODIFICATION: Increase 1 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 190.76 kg\n  Factor of Safety: 0.62\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": 190.76172793097103,
      "fos_buckling": 0.6164740989145145,
      "fos_yielding": 4.2623964163696,
      "deflection": 0.0119903228638101,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.527)"
      },
      "parent_node_id": "node_2685",
      "improvement_over_parent": null
    },
    "node_2687": {
      "node_id": "node_2687",
      "content": "MODIFICATION: Increase 3 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0066)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 191.88 kg\n  Factor of Safety: 0.62\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": 191.87726731056486,
      "fos_buckling": 0.6164740989145141,
      "fos_yielding": 4.6703970830380825,
      "deflection": 0.01182017094373219,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.289)"
      },
      "parent_node_id": "node_2686",
      "improvement_over_parent": null
    },
    "node_2688": {
      "node_id": "node_2688",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0066)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 224.27 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.02e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.27088695068315,
      "fos_buckling": 1.477080436168735,
      "fos_yielding": 4.637092471211434,
      "deflection": 0.007020456548231448,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_2687",
      "improvement_over_parent": null
    },
    "node_2689": {
      "node_id": "node_2689",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2688",
      "improvement_over_parent": null
    },
    "node_2690": {
      "node_id": "node_2690",
      "content": "INITIAL DESIGN (Trace 389)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 175.55 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.5489222287675,
      "fos_buckling": 0.8754919964732614,
      "fos_yielding": 3.9905852411078224,
      "deflection": 0.01011423704281851,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2691": {
      "node_id": "node_2691",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n\nPerformance:\n  Mass: 191.46 kg\n  Factor of Safety: 1.29\n  Max Deflection: 8.20e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.4581716626615,
      "fos_buckling": 1.2926399018137247,
      "fos_yielding": 4.003904650607493,
      "deflection": 0.008199788777384103,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004312)"
      },
      "parent_node_id": "node_2690",
      "improvement_over_parent": null
    },
    "node_2692": {
      "node_id": "node_2692",
      "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0087)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n\nPerformance:\n  Mass: 199.83 kg\n  Factor of Safety: 1.29\n  Max Deflection: 8.04e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.8291206200349,
      "fos_buckling": 1.2895585527398832,
      "fos_yielding": 3.9662919949141515,
      "deflection": 0.008035558424770838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.431)"
      },
      "parent_node_id": "node_2691",
      "improvement_over_parent": null
    },
    "node_2693": {
      "node_id": "node_2693",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0102)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n\nPerformance:\n  Mass: 229.88 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.8818307057488,
      "fos_buckling": 1.4460877861410777,
      "fos_yielding": 4.561165278335053,
      "deflection": 0.007004669068505692,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_2692",
      "improvement_over_parent": null
    },
    "node_2694": {
      "node_id": "node_2694",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2693",
      "improvement_over_parent": null
    },
    "node_2695": {
      "node_id": "node_2695",
      "content": "INITIAL DESIGN (Trace 390)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0029)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0028)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 122.87 kg\n  Factor of Safety: 0.94\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": 122.86626687336594,
      "fos_buckling": 0.9398074517935562,
      "fos_yielding": 2.676128521587778,
      "deflection": 0.01327215437601605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2696": {
      "node_id": "node_2696",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 153.97 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.97088806381512,
      "fos_buckling": 1.1442391524320592,
      "fos_yielding": 3.3476276020303257,
      "deflection": 0.01062115961623564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_2695",
      "improvement_over_parent": null
    },
    "node_2697": {
      "node_id": "node_2697",
      "content": "MODIFICATION: Increase 0 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 160.86 kg\n  Factor of Safety: 1.14\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.86499978817315,
      "fos_buckling": 1.137284900864068,
      "fos_yielding": 3.3452194624675866,
      "deflection": 0.01001672954847465,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.536)"
      },
      "parent_node_id": "node_2696",
      "improvement_over_parent": null
    },
    "node_2698": {
      "node_id": "node_2698",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 189.48 kg\n  Factor of Safety: 1.31\n  Max Deflection: 8.53e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.4762246872167,
      "fos_buckling": 1.3056600993543528,
      "fos_yielding": 3.9354541929088795,
      "deflection": 0.008528391480704089,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_2697",
      "improvement_over_parent": null
    },
    "node_2699": {
      "node_id": "node_2699",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 218.20 kg\n  Factor of Safety: 1.46\n  Max Deflection: 7.43e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.19567527440933,
      "fos_buckling": 1.4647361966508228,
      "fos_yielding": 4.526450845666706,
      "deflection": 0.00742682535037113,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_2698",
      "improvement_over_parent": null
    },
    "node_2700": {
      "node_id": "node_2700",
      "content": "MODIFICATION: Increase 1 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.73 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.73205773149894,
      "fos_buckling": 1.5264528056738134,
      "fos_yielding": 4.606266115300384,
      "deflection": 0.00696599172660207,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.558)"
      },
      "parent_node_id": "node_2699",
      "improvement_over_parent": null
    },
    "node_2701": {
      "node_id": "node_2701",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2700",
      "improvement_over_parent": null
    },
    "node_2702": {
      "node_id": "node_2702",
      "content": "INITIAL DESIGN (Trace 391)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n\nPerformance:\n  Mass: 145.44 kg\n  Factor of Safety: 0.50\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": 145.44325851721493,
      "fos_buckling": 0.49648650090809215,
      "fos_yielding": 3.1066702846058156,
      "deflection": 0.01737848092606624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2703": {
      "node_id": "node_2703",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n\nPerformance:\n  Mass: 181.02 kg\n  Factor of Safety: 0.59\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": 181.01872932887528,
      "fos_buckling": 0.5935137304005064,
      "fos_yielding": 3.8556486337929536,
      "deflection": 0.013994727531772711,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_2702",
      "improvement_over_parent": null
    },
    "node_2704": {
      "node_id": "node_2704",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 213.80 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.32e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.79632407176078,
      "fos_buckling": 1.4386037058920393,
      "fos_yielding": 4.665952255809124,
      "deflection": 0.007318529266447989,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_2703",
      "improvement_over_parent": null
    },
    "node_2705": {
      "node_id": "node_2705",
      "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 219.32 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.31966039410784,
      "fos_buckling": 1.4357335314612896,
      "fos_yielding": 4.666903112193481,
      "deflection": 0.007177517607188743,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.366)"
      },
      "parent_node_id": "node_2704",
      "improvement_over_parent": null
    },
    "node_2706": {
      "node_id": "node_2706",
      "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63766620796318,
      "fos_buckling": 1.5259813325809761,
      "fos_yielding": 4.604634589858457,
      "deflection": 0.006968697288028094,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.543)"
      },
      "parent_node_id": "node_2705",
      "improvement_over_parent": null
    },
    "node_2707": {
      "node_id": "node_2707",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2706",
      "improvement_over_parent": null
    },
    "node_2708": {
      "node_id": "node_2708",
      "content": "INITIAL DESIGN (Trace 392)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n  Mass: 127.11 kg\n  Factor of Safety: 0.65\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": 127.11390596930777,
      "fos_buckling": 0.654576808795601,
      "fos_yielding": 2.844984277232296,
      "deflection": 0.014127521938569698,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2709": {
      "node_id": "node_2709",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 166.38 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.3750276475651,
      "fos_buckling": 0.8250082023127293,
      "fos_yielding": 3.7183892262018374,
      "deflection": 0.01084501080688542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_2708",
      "improvement_over_parent": null
    },
    "node_2710": {
      "node_id": "node_2710",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n\nPerformance:\n  Mass: 184.25 kg\n  Factor of Safety: 1.28\n  Max Deflection: 8.57e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.24546682041512,
      "fos_buckling": 1.283848202388909,
      "fos_yielding": 3.7323374361516333,
      "deflection": 0.008567997634618275,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005468)"
      },
      "parent_node_id": "node_2709",
      "improvement_over_parent": null
    },
    "node_2711": {
      "node_id": "node_2711",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0065)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n\nPerformance:\n  Mass: 206.11 kg\n  Factor of Safety: 1.41\n  Max Deflection: 7.68e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.1103888466175,
      "fos_buckling": 1.408709109122888,
      "fos_yielding": 4.172170495595421,
      "deflection": 0.0076779538844902115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_2710",
      "improvement_over_parent": null
    },
    "node_2712": {
      "node_id": "node_2712",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.86 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.8634032603789,
      "fos_buckling": 1.5272885610392501,
      "fos_yielding": 4.609105974223692,
      "deflection": 0.006961966997389843,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_2711",
      "improvement_over_parent": null
    },
    "node_2713": {
      "node_id": "node_2713",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2712",
      "improvement_over_parent": null
    },
    "node_2714": {
      "node_id": "node_2714",
      "content": "INITIAL DESIGN (Trace 393)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 115.46 kg\n  Factor of Safety: 0.14\n  Max Deflection: 9.13e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.45672602440405,
      "fos_buckling": 0.1444790117239451,
      "fos_yielding": 2.069159473567831,
      "deflection": 91262297503322.66,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2715": {
      "node_id": "node_2715",
      "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 116.79 kg\n  Factor of Safety: 0.14\n  Max Deflection: 9.13e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.78599523533552,
      "fos_buckling": 0.1444790117239451,
      "fos_yielding": 2.069159473567831,
      "deflection": 91262297503322.66,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.495)"
      },
      "parent_node_id": "node_2714",
      "improvement_over_parent": null
    },
    "node_2716": {
      "node_id": "node_2716",
      "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 117.49 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.42e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.48689440229965,
      "fos_buckling": 0.6381299700539023,
      "fos_yielding": 3.4713592038036403,
      "deflection": 14211714045396.795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.580)"
      },
      "parent_node_id": "node_2715",
      "improvement_over_parent": null
    },
    "node_2717": {
      "node_id": "node_2717",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 145.02 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.62e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.02112828140332,
      "fos_buckling": 0.5358401806644798,
      "fos_yielding": 2.819085330990532,
      "deflection": 0.016185346891007216,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006732)"
      },
      "parent_node_id": "node_2716",
      "improvement_over_parent": null
    },
    "node_2718": {
      "node_id": "node_2718",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 172.63 kg\n  Factor of Safety: 0.62\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": 172.63110716082537,
      "fos_buckling": 0.6177697365455315,
      "fos_yielding": 3.36218787173503,
      "deflection": 0.013637448069962442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_2717",
      "improvement_over_parent": null
    },
    "node_2719": {
      "node_id": "node_2719",
      "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 173.56 kg\n  Factor of Safety: 0.62\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": 173.55719093027116,
      "fos_buckling": 0.6177697365455316,
      "fos_yielding": 4.265363040053018,
      "deflection": 0.013412663434878168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.295)"
      },
      "parent_node_id": "node_2718",
      "improvement_over_parent": null
    },
    "node_2720": {
      "node_id": "node_2720",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 205.95 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.95081057038945,
      "fos_buckling": 1.0036617250905775,
      "fos_yielding": 5.141837419234794,
      "deflection": 0.008715306750018454,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_2719",
      "improvement_over_parent": null
    },
    "node_2721": {
      "node_id": "node_2721",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.61010684723686,
      "fos_buckling": 1.5258167613990563,
      "fos_yielding": 4.6024893131798,
      "deflection": 0.006969667423777114,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_2720",
      "improvement_over_parent": null
    },
    "node_2722": {
      "node_id": "node_2722",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2721",
      "improvement_over_parent": null
    },
    "node_2723": {
      "node_id": "node_2723",
      "content": "INITIAL DESIGN (Trace 394)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2724": {
      "node_id": "node_2724",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n\nPerformance:\n  Mass: 198.61 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.61392441840553,
      "fos_buckling": 1.0047139713043287,
      "fos_yielding": 5.147081487761388,
      "deflection": 0.00870772002679799,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005494)"
      },
      "parent_node_id": "node_2723",
      "improvement_over_parent": null
    },
    "node_2725": {
      "node_id": "node_2725",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 223.73 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.73321939590647,
      "fos_buckling": 1.4853665513046894,
      "fos_yielding": 4.631229447577879,
      "deflection": 0.007059528382242707,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2724",
      "improvement_over_parent": null
    },
    "node_2726": {
      "node_id": "node_2726",
      "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0064)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 224.67 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.66804109753673,
      "fos_buckling": 1.4846543424869652,
      "fos_yielding": 4.631681147824144,
      "deflection": 0.0070121247985735925,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.241)"
      },
      "parent_node_id": "node_2725",
      "improvement_over_parent": null
    },
    "node_2727": {
      "node_id": "node_2727",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2726",
      "improvement_over_parent": null
    },
    "node_2728": {
      "node_id": "node_2728",
      "content": "INITIAL DESIGN (Trace 395)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 191.25 kg\n  Factor of Safety: 0.51\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": 191.25323067512514,
      "fos_buckling": 0.5100421672119964,
      "fos_yielding": 3.5247333978656386,
      "deflection": 0.034988511669678715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2729": {
      "node_id": "node_2729",
      "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 192.10 kg\n  Factor of Safety: 0.51\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": 192.09586430255004,
      "fos_buckling": 0.5100421672119965,
      "fos_yielding": 3.524733397865638,
      "deflection": 0.03508307903497808,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.221)"
      },
      "parent_node_id": "node_2728",
      "improvement_over_parent": null
    },
    "node_2730": {
      "node_id": "node_2730",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 194.48 kg\n  Factor of Safety: 0.62\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": 194.4805466141362,
      "fos_buckling": 0.6160683966213213,
      "fos_yielding": 3.524033078220815,
      "deflection": 0.012076639224597502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_2729",
      "improvement_over_parent": null
    },
    "node_2731": {
      "node_id": "node_2731",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 226.87 kg\n  Factor of Safety: 1.42\n  Max Deflection: 7.02e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.87416625425448,
      "fos_buckling": 1.424749790994996,
      "fos_yielding": 4.440748176405301,
      "deflection": 0.007024763447781608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_2730",
      "improvement_over_parent": null
    },
    "node_2732": {
      "node_id": "node_2732",
      "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63137228392037,
      "fos_buckling": 1.5259942480891397,
      "fos_yielding": 4.604759225687262,
      "deflection": 0.00696897261034537,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.230)"
      },
      "parent_node_id": "node_2731",
      "improvement_over_parent": null
    },
    "node_2733": {
      "node_id": "node_2733",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2732",
      "improvement_over_parent": null
    },
    "node_2734": {
      "node_id": "node_2734",
      "content": "INITIAL DESIGN (Trace 396)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0028)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0028)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0025)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0025)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0019)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0020)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0029)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0026)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0026)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0029)]\n\nPerformance:\n  Mass: 87.01 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": 87.00855915459115,
      "fos_buckling": 0.658567032495591,
      "fos_yielding": 1.7683000175696757,
      "deflection": 0.017944636256946252,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2735": {
      "node_id": "node_2735",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0028)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0021)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0033)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0029)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0033)]\n\nPerformance:\n  Mass: 97.17 kg\n  Factor of Safety: 0.73\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": 97.17027192874174,
      "fos_buckling": 0.7293158789041411,
      "fos_yielding": 1.974137410435249,
      "deflection": 0.016086662043563876,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_2734",
      "improvement_over_parent": null
    },
    "node_2736": {
      "node_id": "node_2736",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n  Mass: 112.83 kg\n  Factor of Safety: 0.84\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": 112.8289355976917,
      "fos_buckling": 0.8358438474165669,
      "fos_yielding": 2.291043786650495,
      "deflection": 0.01387881517305562,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_2735",
      "improvement_over_parent": null
    },
    "node_2737": {
      "node_id": "node_2737",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 136.41 kg\n  Factor of Safety: 0.99\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": 136.40864094443728,
      "fos_buckling": 0.9905880690204601,
      "fos_yielding": 2.767623858564994,
      "deflection": 0.011510474559094193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_2736",
      "improvement_over_parent": null
    },
    "node_2738": {
      "node_id": "node_2738",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 154.41 kg\n  Factor of Safety: 1.10\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.40602836617677,
      "fos_buckling": 1.1041402737793296,
      "fos_yielding": 3.1308641764427105,
      "deflection": 0.010189569835085285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_2737",
      "improvement_over_parent": null
    },
    "node_2739": {
      "node_id": "node_2739",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 194.43 kg\n  Factor of Safety: 1.34\n  Max Deflection: 8.13e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.42999487779653,
      "fos_buckling": 1.342651350679993,
      "fos_yielding": 3.937078088605009,
      "deflection": 0.008128651554352552,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_2738",
      "improvement_over_parent": null
    },
    "node_2740": {
      "node_id": "node_2740",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7057046656103,
      "fos_buckling": 1.5263775042837826,
      "fos_yielding": 4.605697558994479,
      "deflection": 0.006966779478398859,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_2739",
      "improvement_over_parent": null
    },
    "node_2741": {
      "node_id": "node_2741",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2740",
      "improvement_over_parent": null
    },
    "node_2742": {
      "node_id": "node_2742",
      "content": "INITIAL DESIGN (Trace 397)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 93.62 kg\n  Factor of Safety: 0.04\n  Max Deflection: 7.80e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 93.61628317821877,
      "fos_buckling": 0.03679132716420184,
      "fos_yielding": 0.5007606711080074,
      "deflection": 780242351568701.2,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2743": {
      "node_id": "node_2743",
      "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 100.65 kg\n  Factor of Safety: 0.59\n  Max Deflection: 2.94e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 100.64961057875757,
      "fos_buckling": 0.5886612346272294,
      "fos_yielding": 3.3381075414590717,
      "deflection": 29370924270979.953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.600)"
      },
      "parent_node_id": "node_2742",
      "improvement_over_parent": null
    },
    "node_2744": {
      "node_id": "node_2744",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n\nPerformance:\n  Mass: 115.57 kg\n  Factor of Safety: 0.62\n  Max Deflection: 3.43e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.56569276587004,
      "fos_buckling": 0.6210851572401066,
      "fos_yielding": 3.4734777076998595,
      "deflection": 34344815201303.895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004558)"
      },
      "parent_node_id": "node_2743",
      "improvement_over_parent": null
    },
    "node_2745": {
      "node_id": "node_2745",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n  Mass: 132.93 kg\n  Factor of Safety: 0.32\n  Max Deflection: 3.34e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.9322685734873,
      "fos_buckling": 0.3217555970254267,
      "fos_yielding": 1.8274376702109523,
      "deflection": 33352909611202.49,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_2744",
      "improvement_over_parent": null
    },
    "node_2746": {
      "node_id": "node_2746",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n  Mass: 158.60 kg\n  Factor of Safety: 0.81\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": 158.60291757678553,
      "fos_buckling": 0.8108870289548511,
      "fos_yielding": 3.666717438334724,
      "deflection": 0.011237752665663632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006285)"
      },
      "parent_node_id": "node_2745",
      "improvement_over_parent": null
    },
    "node_2747": {
      "node_id": "node_2747",
      "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n  Mass: 163.09 kg\n  Factor of Safety: 0.81\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": 163.08773902718067,
      "fos_buckling": 0.8104086911836162,
      "fos_yielding": 3.64645972667979,
      "deflection": 0.011129284128402044,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.287)"
      },
      "parent_node_id": "node_2746",
      "improvement_over_parent": null
    },
    "node_2748": {
      "node_id": "node_2748",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0088)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 205.65 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.87e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.6486679321108,
      "fos_buckling": 0.9801671387849038,
      "fos_yielding": 4.5926431388176505,
      "deflection": 0.008867270930213944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_2747",
      "improvement_over_parent": null
    },
    "node_2749": {
      "node_id": "node_2749",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0088)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.74 kg\n  Factor of Safety: 1.51\n  Max Deflection: 7.01e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.73981606077112,
      "fos_buckling": 1.5076239779084406,
      "fos_yielding": 4.609352503063731,
      "deflection": 0.00701243836640686,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2748",
      "improvement_over_parent": null
    },
    "node_2750": {
      "node_id": "node_2750",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2749",
      "improvement_over_parent": null
    },
    "node_2751": {
      "node_id": "node_2751",
      "content": "INITIAL DESIGN (Trace 398)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2752": {
      "node_id": "node_2752",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 196.10 kg\n  Factor of Safety: 0.73\n  Max Deflection: 9.97e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.09925311756473,
      "fos_buckling": 0.7321050178552798,
      "fos_yielding": 4.58789535155491,
      "deflection": 0.009968271343305005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_2751",
      "improvement_over_parent": null
    },
    "node_2753": {
      "node_id": "node_2753",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 218.19 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.37e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.19040124622504,
      "fos_buckling": 1.242842653375128,
      "fos_yielding": 4.607600974732974,
      "deflection": 0.007369908528947686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2752",
      "improvement_over_parent": null
    },
    "node_2754": {
      "node_id": "node_2754",
      "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0103)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 228.02 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.23e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.0242593696751,
      "fos_buckling": 1.239397818124178,
      "fos_yielding": 4.563254012411255,
      "deflection": 0.007228089315413799,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.451)"
      },
      "parent_node_id": "node_2753",
      "improvement_over_parent": null
    },
    "node_2755": {
      "node_id": "node_2755",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2754",
      "improvement_over_parent": null
    },
    "node_2756": {
      "node_id": "node_2756",
      "content": "INITIAL DESIGN (Trace 399)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 142.38 kg\n  Factor of Safety: 0.74\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": 142.383996943055,
      "fos_buckling": 0.7419636469060984,
      "fos_yielding": 2.768094034500395,
      "deflection": 0.012581019760472222,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2757": {
      "node_id": "node_2757",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 161.89 kg\n  Factor of Safety: 0.83\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": 161.88955895832004,
      "fos_buckling": 0.8277803598496088,
      "fos_yielding": 3.1518401766494644,
      "deflection": 0.011090628045077232,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_2756",
      "improvement_over_parent": null
    },
    "node_2758": {
      "node_id": "node_2758",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n  Mass: 179.00 kg\n  Factor of Safety: 1.06\n  Max Deflection: 8.89e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.00390443830622,
      "fos_buckling": 1.0587503805801812,
      "fos_yielding": 3.1669907420628567,
      "deflection": 0.00888738965363111,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005279)"
      },
      "parent_node_id": "node_2757",
      "improvement_over_parent": null
    },
    "node_2759": {
      "node_id": "node_2759",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 226.63 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.63331850102603,
      "fos_buckling": 1.3088546077110061,
      "fos_yielding": 4.023430655751461,
      "deflection": 0.007055714367338994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_2758",
      "improvement_over_parent": null
    },
    "node_2760": {
      "node_id": "node_2760",
      "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.41 kg\n  Factor of Safety: 1.31\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.41012986820067,
      "fos_buckling": 1.3056763807134188,
      "fos_yielding": 4.013660757813453,
      "deflection": 0.0069929072084378135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.372)"
      },
      "parent_node_id": "node_2759",
      "improvement_over_parent": null
    },
    "node_2761": {
      "node_id": "node_2761",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2760",
      "improvement_over_parent": null
    },
    "node_2762": {
      "node_id": "node_2762",
      "content": "INITIAL DESIGN (Trace 400)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n  Mass: 114.72 kg\n  Factor of Safety: 0.40\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": 114.72076680119538,
      "fos_buckling": 0.3977585804699583,
      "fos_yielding": 1.904878033592147,
      "deflection": 0.025489572225221496,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2763": {
      "node_id": "node_2763",
      "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n  Mass: 117.50 kg\n  Factor of Safety: 0.47\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": 117.49556589283672,
      "fos_buckling": 0.46909626700285295,
      "fos_yielding": 1.9043572962899922,
      "deflection": 0.024598106503206995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.220)"
      },
      "parent_node_id": "node_2762",
      "improvement_over_parent": null
    },
    "node_2764": {
      "node_id": "node_2764",
      "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n  Mass: 118.79 kg\n  Factor of Safety: 0.47\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": 118.79067457537951,
      "fos_buckling": 0.46909626700285295,
      "fos_yielding": 2.798232030791226,
      "deflection": 0.023954959701515798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.558)"
      },
      "parent_node_id": "node_2763",
      "improvement_over_parent": null
    },
    "node_2765": {
      "node_id": "node_2765",
      "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n  Mass: 121.88 kg\n  Factor of Safety: 0.47\n  Max Deflection: 2.31e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.88365700706663,
      "fos_buckling": 0.4689043948517243,
      "fos_yielding": 2.798232030791226,
      "deflection": 0.023061107842392584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.205)"
      },
      "parent_node_id": "node_2764",
      "improvement_over_parent": null
    },
    "node_2766": {
      "node_id": "node_2766",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n  Mass: 146.48 kg\n  Factor of Safety: 0.49\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": 146.4750066356957,
      "fos_buckling": 0.4859955376318757,
      "fos_yielding": 3.2067319153233695,
      "deflection": 0.015777491684057243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005962)"
      },
      "parent_node_id": "node_2765",
      "improvement_over_parent": null
    },
    "node_2767": {
      "node_id": "node_2767",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 165.19 kg\n  Factor of Safety: 0.54\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": 165.19328947933397,
      "fos_buckling": 0.5377554308775411,
      "fos_yielding": 3.612295982654391,
      "deflection": 0.014019075738401696,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_2766",
      "improvement_over_parent": null
    },
    "node_2768": {
      "node_id": "node_2768",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 195.12 kg\n  Factor of Safety: 0.62\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": 195.1246739670895,
      "fos_buckling": 0.6157696208829465,
      "fos_yielding": 4.258843959317621,
      "deflection": 0.011908340296738073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_2767",
      "improvement_over_parent": null
    },
    "node_2769": {
      "node_id": "node_2769",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.52 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5182936072078,
      "fos_buckling": 1.5253448609907856,
      "fos_yielding": 4.601871639924689,
      "deflection": 0.006972339384738755,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_2768",
      "improvement_over_parent": null
    },
    "node_2770": {
      "node_id": "node_2770",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2769",
      "improvement_over_parent": null
    },
    "node_2771": {
      "node_id": "node_2771",
      "content": "INITIAL DESIGN (Trace 401)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 174.23 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.2292592253787,
      "fos_buckling": 0.594055912860375,
      "fos_yielding": 3.796156931044301,
      "deflection": 0.013182620585577252,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2772": {
      "node_id": "node_2772",
      "content": "MODIFICATION: Increase 5 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 174.98 kg\n  Factor of Safety: 0.59\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": 174.98243715168775,
      "fos_buckling": 0.5939383721325986,
      "fos_yielding": 3.85394753121646,
      "deflection": 0.01276866774427449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.506)"
      },
      "parent_node_id": "node_2771",
      "improvement_over_parent": null
    },
    "node_2773": {
      "node_id": "node_2773",
      "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 181.10 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.09944733172853,
      "fos_buckling": 0.5934615402830462,
      "fos_yielding": 3.8531756047324395,
      "deflection": 0.012579785810986845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.420)"
      },
      "parent_node_id": "node_2772",
      "improvement_over_parent": null
    },
    "node_2774": {
      "node_id": "node_2774",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 213.88 kg\n  Factor of Safety: 1.46\n  Max Deflection: 7.60e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.87704207461402,
      "fos_buckling": 1.4644355789688144,
      "fos_yielding": 4.579164447686145,
      "deflection": 0.0075979026955361,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_2773",
      "improvement_over_parent": null
    },
    "node_2775": {
      "node_id": "node_2775",
      "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 218.01 kg\n  Factor of Safety: 1.46\n  Max Deflection: 7.43e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.0063583779328,
      "fos_buckling": 1.4609169121491368,
      "fos_yielding": 4.608117647004531,
      "deflection": 0.007432520261952702,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.188)"
      },
      "parent_node_id": "node_2774",
      "improvement_over_parent": null
    },
    "node_2776": {
      "node_id": "node_2776",
      "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6367619033788,
      "fos_buckling": 1.5260449584739668,
      "fos_yielding": 4.604163773193475,
      "deflection": 0.006968832196521025,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.577)"
      },
      "parent_node_id": "node_2775",
      "improvement_over_parent": null
    },
    "node_2777": {
      "node_id": "node_2777",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2776",
      "improvement_over_parent": null
    },
    "node_2778": {
      "node_id": "node_2778",
      "content": "INITIAL DESIGN (Trace 402)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0028)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0042)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0036)]\n\nPerformance:\n  Mass: 119.38 kg\n  Factor of Safety: 0.82\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": 119.38154677200401,
      "fos_buckling": 0.8190441698124403,
      "fos_yielding": 2.5089831614702214,
      "deflection": 0.013125947369492626,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2779": {
      "node_id": "node_2779",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n  Mass: 145.91 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.91369578682685,
      "fos_buckling": 0.9818663873278926,
      "fos_yielding": 3.0627113470501084,
      "deflection": 0.010771119482672117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_2778",
      "improvement_over_parent": null
    },
    "node_2780": {
      "node_id": "node_2780",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 180.56 kg\n  Factor of Safety: 1.18\n  Max Deflection: 8.74e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.5610723452932,
      "fos_buckling": 1.184102149772858,
      "fos_yielding": 3.7836100890566056,
      "deflection": 0.008737948253115291,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_2779",
      "improvement_over_parent": null
    },
    "node_2781": {
      "node_id": "node_2781",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 218.85 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.24e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.84921656323567,
      "fos_buckling": 1.3939851485672847,
      "fos_yielding": 4.577305858313777,
      "deflection": 0.0072399033375289395,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_2780",
      "improvement_over_parent": null
    },
    "node_2782": {
      "node_id": "node_2782",
      "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 223.53 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.53391349439195,
      "fos_buckling": 1.4818548914766523,
      "fos_yielding": 4.607974447805105,
      "deflection": 0.0070662757934825205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.183)"
      },
      "parent_node_id": "node_2781",
      "improvement_over_parent": null
    },
    "node_2783": {
      "node_id": "node_2783",
      "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.86 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.85945635104488,
      "fos_buckling": 1.5271401792653037,
      "fos_yielding": 4.608741629977123,
      "deflection": 0.006962234210334641,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.267)"
      },
      "parent_node_id": "node_2782",
      "improvement_over_parent": null
    },
    "node_2784": {
      "node_id": "node_2784",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2783",
      "improvement_over_parent": null
    },
    "node_2785": {
      "node_id": "node_2785",
      "content": "INITIAL DESIGN (Trace 403)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2786": {
      "node_id": "node_2786",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n\nPerformance:\n  Mass: 88.28 kg\n  Factor of Safety: 0.05\n  Max Deflection: 4.32e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 88.2819820740156,
      "fos_buckling": 0.047711233436849715,
      "fos_yielding": 0.39726936389994605,
      "deflection": 431537807999372.06,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004295)"
      },
      "parent_node_id": "node_2785",
      "improvement_over_parent": null
    },
    "node_2787": {
      "node_id": "node_2787",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 109.43 kg\n  Factor of Safety: 0.05\n  Max Deflection: 3.69e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 109.42899205869219,
      "fos_buckling": 0.047711233436849715,
      "fos_yielding": 0.6400894988787157,
      "deflection": 369226093281130.25,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005078)"
      },
      "parent_node_id": "node_2786",
      "improvement_over_parent": null
    },
    "node_2788": {
      "node_id": "node_2788",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n\nPerformance:\n  Mass: 130.33 kg\n  Factor of Safety: 0.68\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": 130.32802395424235,
      "fos_buckling": 0.6794997673352837,
      "fos_yielding": 2.9674779228847767,
      "deflection": 0.013549056952549656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005048)"
      },
      "parent_node_id": "node_2787",
      "improvement_over_parent": null
    },
    "node_2789": {
      "node_id": "node_2789",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n\nPerformance:\n  Mass: 164.26 kg\n  Factor of Safety: 0.83\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": 164.25858500523213,
      "fos_buckling": 0.8284427502018058,
      "fos_yielding": 3.735443358528357,
      "deflection": 0.010794623749623625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_2788",
      "improvement_over_parent": null
    },
    "node_2790": {
      "node_id": "node_2790",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n  Mass: 185.10 kg\n  Factor of Safety: 1.29\n  Max Deflection: 8.53e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.10488986934666,
      "fos_buckling": 1.288721206162333,
      "fos_yielding": 3.7490550027804384,
      "deflection": 0.008529452166059794,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005751)"
      },
      "parent_node_id": "node_2789",
      "improvement_over_parent": null
    },
    "node_2791": {
      "node_id": "node_2791",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.58788433257126,
      "fos_buckling": 1.525661354157488,
      "fos_yielding": 4.602875789011019,
      "deflection": 0.006970505785268521,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_2790",
      "improvement_over_parent": null
    },
    "node_2792": {
      "node_id": "node_2792",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2791",
      "improvement_over_parent": null
    },
    "node_2793": {
      "node_id": "node_2793",
      "content": "INITIAL DESIGN (Trace 404)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n  Mass: 170.06 kg\n  Factor of Safety: 0.79\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": 170.0621158559485,
      "fos_buckling": 0.7909323811297523,
      "fos_yielding": 3.8765533245325754,
      "deflection": 0.013989364333297451,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2794": {
      "node_id": "node_2794",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n\nPerformance:\n  Mass: 171.86 kg\n  Factor of Safety: 1.21\n  Max Deflection: 9.17e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.862838819279,
      "fos_buckling": 1.2105409990442704,
      "fos_yielding": 3.4827635214417474,
      "deflection": 0.009172621125374118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002793)"
      },
      "parent_node_id": "node_2793",
      "improvement_over_parent": null
    },
    "node_2795": {
      "node_id": "node_2795",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n  Mass: 196.49 kg\n  Factor of Safety: 1.35\n  Max Deflection: 8.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.4871045328882,
      "fos_buckling": 1.3543954814551498,
      "fos_yielding": 3.978447983309968,
      "deflection": 0.008045387607996838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_2794",
      "improvement_over_parent": null
    },
    "node_2796": {
      "node_id": "node_2796",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6094567894777,
      "fos_buckling": 1.525869813622742,
      "fos_yielding": 4.60375671279522,
      "deflection": 0.006969629341290718,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_2795",
      "improvement_over_parent": null
    },
    "node_2797": {
      "node_id": "node_2797",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2796",
      "improvement_over_parent": null
    },
    "node_2798": {
      "node_id": "node_2798",
      "content": "INITIAL DESIGN (Trace 405)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 127.62 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.50e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.61772200328505,
      "fos_buckling": 0.7374439072000532,
      "fos_yielding": 3.6418980402508443,
      "deflection": 0.015034799614036401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2799": {
      "node_id": "node_2799",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 152.33 kg\n  Factor of Safety: 0.86\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": 152.32917448463078,
      "fos_buckling": 0.8569001613301672,
      "fos_yielding": 4.345712361921313,
      "deflection": 0.012638761340081139,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_2798",
      "improvement_over_parent": null
    },
    "node_2800": {
      "node_id": "node_2800",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 173.55 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.54818924526333,
      "fos_buckling": 0.8545117536545478,
      "fos_yielding": 3.877348789647081,
      "deflection": 0.010406120731816631,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005929)"
      },
      "parent_node_id": "node_2799",
      "improvement_over_parent": null
    },
    "node_2801": {
      "node_id": "node_2801",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n\nPerformance:\n  Mass: 186.68 kg\n  Factor of Safety: 1.21\n  Max Deflection: 8.43e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.68300313105777,
      "fos_buckling": 1.2091535427792792,
      "fos_yielding": 3.8906969994012313,
      "deflection": 0.00842617488262408,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003941)"
      },
      "parent_node_id": "node_2800",
      "improvement_over_parent": null
    },
    "node_2802": {
      "node_id": "node_2802",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n\nPerformance:\n  Mass: 221.10 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.14e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.09556440556375,
      "fos_buckling": 1.4018303484285413,
      "fos_yielding": 4.600858576308724,
      "deflection": 0.0071422069103443215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_2801",
      "improvement_over_parent": null
    },
    "node_2803": {
      "node_id": "node_2803",
      "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0099)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n\nPerformance:\n  Mass: 229.61 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.01e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.6087183849856,
      "fos_buckling": 1.4040367278995176,
      "fos_yielding": 4.56056083373045,
      "deflection": 0.007011179271301074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.453)"
      },
      "parent_node_id": "node_2802",
      "improvement_over_parent": null
    },
    "node_2804": {
      "node_id": "node_2804",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2803",
      "improvement_over_parent": null
    },
    "node_2805": {
      "node_id": "node_2805",
      "content": "INITIAL DESIGN (Trace 406)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2806": {
      "node_id": "node_2806",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 199.63 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.63177594406196,
      "fos_buckling": 0.9815524212810028,
      "fos_yielding": 5.097880420192491,
      "deflection": 0.010600630486162211,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2805",
      "improvement_over_parent": null
    },
    "node_2807": {
      "node_id": "node_2807",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 202.02 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.0164582556481,
      "fos_buckling": 0.9809396927061044,
      "fos_yielding": 4.587798233941628,
      "deflection": 0.00881727389838292,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_2806",
      "improvement_over_parent": null
    },
    "node_2808": {
      "node_id": "node_2808",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6329871649427,
      "fos_buckling": 1.525990206172389,
      "fos_yielding": 4.60419187449805,
      "deflection": 0.006968977555562249,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_2807",
      "improvement_over_parent": null
    },
    "node_2809": {
      "node_id": "node_2809",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2808",
      "improvement_over_parent": null
    },
    "node_2810": {
      "node_id": "node_2810",
      "content": "INITIAL DESIGN (Trace 407)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n\nPerformance:\n  Mass: 98.87 kg\n  Factor of Safety: 0.05\n  Max Deflection: 6.34e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 98.87308230482304,
      "fos_buckling": 0.05008318690263752,
      "fos_yielding": 0.6400894988787157,
      "deflection": 633894268619156.2,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2811": {
      "node_id": "node_2811",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n  Mass: 119.03 kg\n  Factor of Safety: 0.25\n  Max Deflection: 5.17e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 119.03251822521494,
      "fos_buckling": 0.248072455353864,
      "fos_yielding": 2.7702972721053074,
      "deflection": 51688595094064.984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_2810",
      "improvement_over_parent": null
    },
    "node_2812": {
      "node_id": "node_2812",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 147.60 kg\n  Factor of Safety: 0.88\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": 147.6048582734655,
      "fos_buckling": 0.8813468357929803,
      "fos_yielding": 4.488370478559039,
      "deflection": 0.012223727206028202,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007007)"
      },
      "parent_node_id": "node_2811",
      "improvement_over_parent": null
    },
    "node_2813": {
      "node_id": "node_2813",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n\nPerformance:\n  Mass: 169.94 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.93688055635346,
      "fos_buckling": 0.8993514604316619,
      "fos_yielding": 4.488370478559039,
      "deflection": 0.01021934588910046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006195)"
      },
      "parent_node_id": "node_2812",
      "improvement_over_parent": null
    },
    "node_2814": {
      "node_id": "node_2814",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 194.91 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.94e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.91049852264777,
      "fos_buckling": 1.00475808439723,
      "fos_yielding": 5.144598458928164,
      "deflection": 0.008937448114563734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_2813",
      "improvement_over_parent": null
    },
    "node_2815": {
      "node_id": "node_2815",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 220.03 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.0297935001487,
      "fos_buckling": 1.346902416404196,
      "fos_yielding": 4.6018306172130305,
      "deflection": 0.007180270016084205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2814",
      "improvement_over_parent": null
    },
    "node_2816": {
      "node_id": "node_2816",
      "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.58459882542465,
      "fos_buckling": 1.5254893461828454,
      "fos_yielding": 4.603446748003189,
      "deflection": 0.0069704190674369886,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.570)"
      },
      "parent_node_id": "node_2815",
      "improvement_over_parent": null
    },
    "node_2817": {
      "node_id": "node_2817",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2816",
      "improvement_over_parent": null
    },
    "node_2818": {
      "node_id": "node_2818",
      "content": "INITIAL DESIGN (Trace 408)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0026)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n  Mass: 143.03 kg\n  Factor of Safety: 0.95\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": 143.0273677077892,
      "fos_buckling": 0.9484327036096502,
      "fos_yielding": 3.3060412413157367,
      "deflection": 0.011362942997042786,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2819": {
      "node_id": "node_2819",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 168.39 kg\n  Factor of Safety: 1.10\n  Max Deflection: 9.67e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.38889241139552,
      "fos_buckling": 1.097566932404079,
      "fos_yielding": 3.8843029975056345,
      "deflection": 0.009671975710269638,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_2818",
      "improvement_over_parent": null
    },
    "node_2820": {
      "node_id": "node_2820",
      "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 176.21 kg\n  Factor of Safety: 1.32\n  Max Deflection: 9.22e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.21143541130405,
      "fos_buckling": 1.3152965322364385,
      "fos_yielding": 3.9420526057811687,
      "deflection": 0.009221254477370109,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.418)"
      },
      "parent_node_id": "node_2819",
      "improvement_over_parent": null
    },
    "node_2821": {
      "node_id": "node_2821",
      "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 179.46 kg\n  Factor of Safety: 1.34\n  Max Deflection: 8.98e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.46293433598683,
      "fos_buckling": 1.3449566947396185,
      "fos_yielding": 3.9432149242438426,
      "deflection": 0.008984131373270685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.294)"
      },
      "parent_node_id": "node_2820",
      "improvement_over_parent": null
    },
    "node_2822": {
      "node_id": "node_2822",
      "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 187.62 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.36e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.62296012367102,
      "fos_buckling": 1.2647011233617091,
      "fos_yielding": 3.9401040334620396,
      "deflection": 0.008364179334582411,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.560)"
      },
      "parent_node_id": "node_2821",
      "improvement_over_parent": null
    },
    "node_2823": {
      "node_id": "node_2823",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 219.48 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.48099231496587,
      "fos_buckling": 1.4371425273991891,
      "fos_yielding": 4.602260985081877,
      "deflection": 0.007175925815432811,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_2822",
      "improvement_over_parent": null
    },
    "node_2824": {
      "node_id": "node_2824",
      "content": "MODIFICATION: Increase 8 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.62423366207406,
      "fos_buckling": 1.5259423514168162,
      "fos_yielding": 4.603694935208164,
      "deflection": 0.006969243908039532,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.511)"
      },
      "parent_node_id": "node_2823",
      "improvement_over_parent": null
    },
    "node_2825": {
      "node_id": "node_2825",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 409)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 187.38 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.17e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.37956787361026,
      "fos_buckling": 0.9828225407521493,
      "fos_yielding": 4.691794737121375,
      "deflection": 0.009172864111735091,
      "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: Increase 8 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 195.23 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.01e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.22788617865925,
      "fos_buckling": 0.9818120510854949,
      "fos_yielding": 4.642065698384802,
      "deflection": 0.009007421087040817,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.499)"
      },
      "parent_node_id": "node_2826",
      "improvement_over_parent": null
    },
    "node_2828": {
      "node_id": "node_2828",
      "content": "MODIFICATION: Increase 3 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 202.00 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.00398747885666,
      "fos_buckling": 0.9809412818806699,
      "fos_yielding": 4.587868478739339,
      "deflection": 0.008817512920106631,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.499)"
      },
      "parent_node_id": "node_2827",
      "improvement_over_parent": null
    },
    "node_2829": {
      "node_id": "node_2829",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.62051638815126,
      "fos_buckling": 1.5258871214577607,
      "fos_yielding": 4.604259823794304,
      "deflection": 0.0069691958078754,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_2828",
      "improvement_over_parent": null
    },
    "node_2830": {
      "node_id": "node_2830",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2829",
      "improvement_over_parent": null
    },
    "node_2831": {
      "node_id": "node_2831",
      "content": "INITIAL DESIGN (Trace 410)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 170.81 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.81019102195333,
      "fos_buckling": 0.7564897941380839,
      "fos_yielding": 4.126716027104991,
      "deflection": 0.010788056295056359,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2832": {
      "node_id": "node_2832",
      "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 177.50 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.49843830565678,
      "fos_buckling": 0.7558254996947934,
      "fos_yielding": 4.077285273380175,
      "deflection": 0.010568595582533303,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.464)"
      },
      "parent_node_id": "node_2831",
      "improvement_over_parent": null
    },
    "node_2833": {
      "node_id": "node_2833",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n  Mass: 197.12 kg\n  Factor of Safety: 1.23\n  Max Deflection: 8.07e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.115847238724,
      "fos_buckling": 1.2319370537974856,
      "fos_yielding": 4.093791191828013,
      "deflection": 0.008066829413768522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006048)"
      },
      "parent_node_id": "node_2832",
      "improvement_over_parent": null
    },
    "node_2834": {
      "node_id": "node_2834",
      "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n  Mass: 201.84 kg\n  Factor of Safety: 1.27\n  Max Deflection: 7.95e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.8395874016477,
      "fos_buckling": 1.2694313523034448,
      "fos_yielding": 4.094284283199022,
      "deflection": 0.007951121282776573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.230)"
      },
      "parent_node_id": "node_2833",
      "improvement_over_parent": null
    },
    "node_2835": {
      "node_id": "node_2835",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0089)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.34 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.08e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.34379651369284,
      "fos_buckling": 1.404401593767408,
      "fos_yielding": 4.60818051807752,
      "deflection": 0.007077433501848897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_2834",
      "improvement_over_parent": null
    },
    "node_2836": {
      "node_id": "node_2836",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2835",
      "improvement_over_parent": null
    },
    "node_2837": {
      "node_id": "node_2837",
      "content": "INITIAL DESIGN (Trace 411)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 193.64 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.6449309031237,
      "fos_buckling": 0.9823226460377634,
      "fos_yielding": 5.097881710685375,
      "deflection": 0.010592231793019964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2838": {
      "node_id": "node_2838",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 219.26 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.2614598124183,
      "fos_buckling": 0.999510352859812,
      "fos_yielding": 5.121306041034677,
      "deflection": 0.010591150561188322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_2837",
      "improvement_over_parent": null
    },
    "node_2839": {
      "node_id": "node_2839",
      "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 225.25 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.24996220552742,
      "fos_buckling": 0.9997087649492947,
      "fos_yielding": 5.1229729960515105,
      "deflection": 0.010599492000380248,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.408)"
      },
      "parent_node_id": "node_2838",
      "improvement_over_parent": null
    },
    "node_2840": {
      "node_id": "node_2840",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63464451711357,
      "fos_buckling": 1.5259757337047601,
      "fos_yielding": 4.604200692750026,
      "deflection": 0.006968941460996933,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_2839",
      "improvement_over_parent": null
    },
    "node_2841": {
      "node_id": "node_2841",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2840",
      "improvement_over_parent": null
    },
    "node_2842": {
      "node_id": "node_2842",
      "content": "INITIAL DESIGN (Trace 412)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 156.31 kg\n  Factor of Safety: 0.81\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": 156.30778140935763,
      "fos_buckling": 0.8126644010735378,
      "fos_yielding": 3.64914141039674,
      "deflection": 0.012503149717582027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2843": {
      "node_id": "node_2843",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 196.88 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.96e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.8770512942016,
      "fos_buckling": 0.9813055811880871,
      "fos_yielding": 4.586284111016852,
      "deflection": 0.009956688147598623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_2842",
      "improvement_over_parent": null
    },
    "node_2844": {
      "node_id": "node_2844",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 218.97 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.37e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.96819942286191,
      "fos_buckling": 1.4911147680676846,
      "fos_yielding": 4.605947172640921,
      "deflection": 0.007368620833197749,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2843",
      "improvement_over_parent": null
    },
    "node_2845": {
      "node_id": "node_2845",
      "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.57 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.56862248928223,
      "fos_buckling": 1.525534445699023,
      "fos_yielding": 4.602526845289068,
      "deflection": 0.006970902604598613,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.488)"
      },
      "parent_node_id": "node_2844",
      "improvement_over_parent": null
    },
    "node_2846": {
      "node_id": "node_2846",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2845",
      "improvement_over_parent": null
    },
    "node_2847": {
      "node_id": "node_2847",
      "content": "INITIAL DESIGN (Trace 413)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 167.74 kg\n  Factor of Safety: 0.91\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": 167.73540522254518,
      "fos_buckling": 0.9095769615089782,
      "fos_yielding": 4.541689936651708,
      "deflection": 0.012928209632880742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2848": {
      "node_id": "node_2848",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 190.00 kg\n  Factor of Safety: 1.01\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": 190.00355130228274,
      "fos_buckling": 1.0056910924351794,
      "fos_yielding": 5.141441824149225,
      "deflection": 0.011422854319076777,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_2847",
      "improvement_over_parent": null
    },
    "node_2849": {
      "node_id": "node_2849",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 192.39 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.26e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.3882336138689,
      "fos_buckling": 1.0050625638602533,
      "fos_yielding": 4.433211696564827,
      "deflection": 0.009255795169464946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_2848",
      "improvement_over_parent": null
    },
    "node_2850": {
      "node_id": "node_2850",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 214.05 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.52e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.0475298907163,
      "fos_buckling": 1.3222737392946353,
      "fos_yielding": 4.450959584566266,
      "deflection": 0.007515089769965904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_2849",
      "improvement_over_parent": null
    },
    "node_2851": {
      "node_id": "node_2851",
      "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 221.17 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.16e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.1724660274303,
      "fos_buckling": 1.4428873129090398,
      "fos_yielding": 4.522329977922525,
      "deflection": 0.007164215989470173,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.376)"
      },
      "parent_node_id": "node_2850",
      "improvement_over_parent": null
    },
    "node_2852": {
      "node_id": "node_2852",
      "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0067)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 222.16 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.11e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.16020527412195,
      "fos_buckling": 1.4421660456116159,
      "fos_yielding": 4.522953803708569,
      "deflection": 0.007113627262960592,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.221)"
      },
      "parent_node_id": "node_2851",
      "improvement_over_parent": null
    },
    "node_2853": {
      "node_id": "node_2853",
      "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0067)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.80 kg\n  Factor of Safety: 1.43\n  Max Deflection: 6.97e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.79543350420556,
      "fos_buckling": 1.4326604499322515,
      "fos_yielding": 4.469623497703704,
      "deflection": 0.006974904766731266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.376)"
      },
      "parent_node_id": "node_2852",
      "improvement_over_parent": null
    },
    "node_2854": {
      "node_id": "node_2854",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2853",
      "improvement_over_parent": null
    },
    "node_2855": {
      "node_id": "node_2855",
      "content": "INITIAL DESIGN (Trace 414)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 157.57 kg\n  Factor of Safety: 0.80\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": 157.57119407536075,
      "fos_buckling": 0.7996094978276796,
      "fos_yielding": 3.9780488380841614,
      "deflection": 0.01694114733529491,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2856": {
      "node_id": "node_2856",
      "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 164.22 kg\n  Factor of Safety: 0.77\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": 164.2165557798357,
      "fos_buckling": 0.7676596427960646,
      "fos_yielding": 3.9231144157483335,
      "deflection": 0.015420560315499853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.471)"
      },
      "parent_node_id": "node_2855",
      "improvement_over_parent": null
    },
    "node_2857": {
      "node_id": "node_2857",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 211.12 kg\n  Factor of Safety: 0.95\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": 211.12322771239582,
      "fos_buckling": 0.9461529881496075,
      "fos_yielding": 5.030323443131842,
      "deflection": 0.012012867641357313,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_2856",
      "improvement_over_parent": null
    },
    "node_2858": {
      "node_id": "node_2858",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 213.51 kg\n  Factor of Safety: 1.43\n  Max Deflection: 7.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.50791002398196,
      "fos_buckling": 1.432083282176584,
      "fos_yielding": 4.511078289274752,
      "deflection": 0.007580899951135169,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_2857",
      "improvement_over_parent": null
    },
    "node_2859": {
      "node_id": "node_2859",
      "content": "MODIFICATION: Increase 1 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 223.99 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.9877412560763,
      "fos_buckling": 1.4890736797504012,
      "fos_yielding": 4.601945775103511,
      "deflection": 0.00705460680295368,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.647)"
      },
      "parent_node_id": "node_2858",
      "improvement_over_parent": null
    },
    "node_2860": {
      "node_id": "node_2860",
      "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5605609782702,
      "fos_buckling": 1.5257670520484428,
      "fos_yielding": 4.602554034730366,
      "deflection": 0.006971020236263611,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.212)"
      },
      "parent_node_id": "node_2859",
      "improvement_over_parent": null
    },
    "node_2861": {
      "node_id": "node_2861",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2860",
      "improvement_over_parent": null
    },
    "node_2862": {
      "node_id": "node_2862",
      "content": "INITIAL DESIGN (Trace 415)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 155.70 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.70046459177104,
      "fos_buckling": 1.0922450248546858,
      "fos_yielding": 3.2420221712053157,
      "deflection": 0.010044939402306191,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2863": {
      "node_id": "node_2863",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 190.90 kg\n  Factor of Safety: 1.30\n  Max Deflection: 8.23e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.90419081102462,
      "fos_buckling": 1.2979559584777807,
      "fos_yielding": 3.968903429588958,
      "deflection": 0.00822570844588882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_2862",
      "improvement_over_parent": null
    },
    "node_2864": {
      "node_id": "node_2864",
      "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 196.07 kg\n  Factor of Safety: 1.35\n  Max Deflection: 8.06e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.06738036935525,
      "fos_buckling": 1.3519246093886128,
      "fos_yielding": 3.9697707121456993,
      "deflection": 0.008062425413525944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.330)"
      },
      "parent_node_id": "node_2863",
      "improvement_over_parent": null
    },
    "node_2865": {
      "node_id": "node_2865",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.83 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.83433011510033,
      "fos_buckling": 1.526981241169173,
      "fos_yielding": 4.608001586025591,
      "deflection": 0.006963091903646996,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_2864",
      "improvement_over_parent": null
    },
    "node_2866": {
      "node_id": "node_2866",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2865",
      "improvement_over_parent": null
    },
    "node_2867": {
      "node_id": "node_2867",
      "content": "INITIAL DESIGN (Trace 416)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 178.59 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.58673611665054,
      "fos_buckling": 0.5208654290581044,
      "fos_yielding": 2.8958326896719746,
      "deflection": 0.011973735312679793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2868": {
      "node_id": "node_2868",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 200.68 kg\n  Factor of Safety: 0.92\n  Max Deflection: 8.45e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.67788424531085,
      "fos_buckling": 0.9181447686002766,
      "fos_yielding": 2.9089582805654297,
      "deflection": 0.008448032727982635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2867",
      "improvement_over_parent": null
    },
    "node_2869": {
      "node_id": "node_2869",
      "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 210.36 kg\n  Factor of Safety: 1.11\n  Max Deflection: 7.69e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.36153527263343,
      "fos_buckling": 1.1104552693257,
      "fos_yielding": 2.9058649140807447,
      "deflection": 0.007686280359694417,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.661)"
      },
      "parent_node_id": "node_2868",
      "improvement_over_parent": null
    },
    "node_2870": {
      "node_id": "node_2870",
      "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0109)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 221.84 kg\n  Factor of Safety: 1.10\n  Max Deflection: 7.54e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.84275796487242,
      "fos_buckling": 1.0994590845059873,
      "fos_yielding": 2.877089844486314,
      "deflection": 0.007544818249030893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.531)"
      },
      "parent_node_id": "node_2869",
      "improvement_over_parent": null
    },
    "node_2871": {
      "node_id": "node_2871",
      "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0109)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 231.36 kg\n  Factor of Safety: 1.10\n  Max Deflection: 7.26e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.3615851744991,
      "fos_buckling": 1.0999082344138194,
      "fos_yielding": 2.8782651903056227,
      "deflection": 0.007260397064641085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.608)"
      },
      "parent_node_id": "node_2870",
      "improvement_over_parent": null
    },
    "node_2872": {
      "node_id": "node_2872",
      "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0102)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0109)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 239.47 kg\n  Factor of Safety: 1.10\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.47385032230923,
      "fos_buckling": 1.1000670535976047,
      "fos_yielding": 2.878680792002146,
      "deflection": 0.007117537252148473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.348)"
      },
      "parent_node_id": "node_2871",
      "improvement_over_parent": null
    },
    "node_2873": {
      "node_id": "node_2873",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2872",
      "improvement_over_parent": null
    },
    "node_2874": {
      "node_id": "node_2874",
      "content": "INITIAL DESIGN (Trace 417)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_2875": {
      "node_id": "node_2875",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n  Mass: 159.89 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.89492190682773,
      "fos_buckling": 0.8338821486659497,
      "fos_yielding": 4.101800652172255,
      "deflection": 0.010877352206815143,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004330)"
      },
      "parent_node_id": "node_2874",
      "improvement_over_parent": null
    },
    "node_2876": {
      "node_id": "node_2876",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 200.77 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.76754014834594,
      "fos_buckling": 1.004353971155251,
      "fos_yielding": 5.145625452655038,
      "deflection": 0.008709861446333636,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_2875",
      "improvement_over_parent": null
    },
    "node_2877": {
      "node_id": "node_2877",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 222.43 kg\n  Factor of Safety: 1.47\n  Max Deflection: 7.09e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.42683642519336,
      "fos_buckling": 1.4742814776501356,
      "fos_yielding": 4.638525422128979,
      "deflection": 0.00708568178902073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_2876",
      "improvement_over_parent": null
    },
    "node_2878": {
      "node_id": "node_2878",
      "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.60146889650895,
      "fos_buckling": 1.525794121112276,
      "fos_yielding": 4.603821255442819,
      "deflection": 0.006969796880685084,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.285)"
      },
      "parent_node_id": "node_2877",
      "improvement_over_parent": null
    },
    "node_2879": {
      "node_id": "node_2879",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2878",
      "improvement_over_parent": null
    },
    "node_2880": {
      "node_id": "node_2880",
      "content": "INITIAL DESIGN (Trace 418)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 171.02 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.02009211594807,
      "fos_buckling": 0.754058219645047,
      "fos_yielding": 4.479326832011516,
      "deflection": 0.01068723183201735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2881": {
      "node_id": "node_2881",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 192.88 kg\n  Factor of Safety: 1.20\n  Max Deflection: 8.25e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.87998329621462,
      "fos_buckling": 1.2009184410118838,
      "fos_yielding": 3.975540532762886,
      "deflection": 0.00824787342130795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006123)"
      },
      "parent_node_id": "node_2880",
      "improvement_over_parent": null
    },
    "node_2882": {
      "node_id": "node_2882",
      "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0076)]\n\nPerformance:\n  Mass: 197.66 kg\n  Factor of Safety: 1.24\n  Max Deflection: 8.13e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.6633071130622,
      "fos_buckling": 1.2375071266992907,
      "fos_yielding": 3.95166706628381,
      "deflection": 0.008127804788731213,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.242)"
      },
      "parent_node_id": "node_2881",
      "improvement_over_parent": null
    },
    "node_2883": {
      "node_id": "node_2883",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0089)]\n\nPerformance:\n  Mass: 227.14 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.09e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.13656845781188,
      "fos_buckling": 1.3933380704123612,
      "fos_yielding": 4.537603686757609,
      "deflection": 0.007094100173742888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_2882",
      "improvement_over_parent": null
    },
    "node_2884": {
      "node_id": "node_2884",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2883",
      "improvement_over_parent": null
    },
    "node_2885": {
      "node_id": "node_2885",
      "content": "INITIAL DESIGN (Trace 419)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2886": {
      "node_id": "node_2886",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 205.54 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.54183912695203,
      "fos_buckling": 0.9804872604151356,
      "fos_yielding": 4.587203241099992,
      "deflection": 0.008819898318209389,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_2885",
      "improvement_over_parent": null
    },
    "node_2887": {
      "node_id": "node_2887",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63298725561233,
      "fos_buckling": 1.5259788749908192,
      "fos_yielding": 4.604199109896495,
      "deflection": 0.006968967111365604,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_2886",
      "improvement_over_parent": null
    },
    "node_2888": {
      "node_id": "node_2888",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2887",
      "improvement_over_parent": null
    },
    "node_2889": {
      "node_id": "node_2889",
      "content": "INITIAL DESIGN (Trace 420)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 157.05 kg\n  Factor of Safety: 0.79\n  Max Deflection: 4.77e+11 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.05001988254756,
      "fos_buckling": 0.7948650008139013,
      "fos_yielding": 4.602792646291688,
      "deflection": 477160546622.6559,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2890": {
      "node_id": "node_2890",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n  Mass: 176.39 kg\n  Factor of Safety: 0.80\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": 176.38658726023814,
      "fos_buckling": 0.8015504210888782,
      "fos_yielding": 4.547807031715572,
      "deflection": 0.012439096367812548,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006023)"
      },
      "parent_node_id": "node_2889",
      "improvement_over_parent": null
    },
    "node_2891": {
      "node_id": "node_2891",
      "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0074)]\n\nPerformance:\n  Mass: 180.26 kg\n  Factor of Safety: 0.80\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": 180.26246999772238,
      "fos_buckling": 0.8011320745345887,
      "fos_yielding": 4.546281449470764,
      "deflection": 0.012445513185233457,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.222)"
      },
      "parent_node_id": "node_2890",
      "improvement_over_parent": null
    },
    "node_2892": {
      "node_id": "node_2892",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0074)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n\nPerformance:\n  Mass: 182.39 kg\n  Factor of Safety: 0.89\n  Max Deflection: 9.98e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.39175804854543,
      "fos_buckling": 0.8948909293824061,
      "fos_yielding": 4.045204036708915,
      "deflection": 0.009976338174326652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003346)"
      },
      "parent_node_id": "node_2891",
      "improvement_over_parent": null
    },
    "node_2893": {
      "node_id": "node_2893",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0074)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n  Mass: 202.11 kg\n  Factor of Safety: 1.27\n  Max Deflection: 7.93e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.11367585861268,
      "fos_buckling": 1.2708101940662042,
      "fos_yielding": 4.059865725899293,
      "deflection": 0.007926405765622882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006083)"
      },
      "parent_node_id": "node_2892",
      "improvement_over_parent": null
    },
    "node_2894": {
      "node_id": "node_2894",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0083)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 226.56 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.09e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.56307591717461,
      "fos_buckling": 1.4000603314012812,
      "fos_yielding": 4.547894848231892,
      "deflection": 0.007088865568918079,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_2893",
      "improvement_over_parent": null
    },
    "node_2895": {
      "node_id": "node_2895",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2894",
      "improvement_over_parent": null
    },
    "node_2896": {
      "node_id": "node_2896",
      "content": "INITIAL DESIGN (Trace 421)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, 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_2897": {
      "node_id": "node_2897",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n  Mass: 111.67 kg\n  Factor of Safety: 0.04\n  Max Deflection: 7.23e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 111.6742447398462,
      "fos_buckling": 0.04371490636746599,
      "fos_yielding": 0.48296547949206947,
      "deflection": 723029872782608.4,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005428)"
      },
      "parent_node_id": "node_2896",
      "improvement_over_parent": null
    },
    "node_2898": {
      "node_id": "node_2898",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 137.80 kg\n  Factor of Safety: 0.83\n  Max Deflection: 2.78e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.8043108884047,
      "fos_buckling": 0.8340810638455269,
      "fos_yielding": 5.144755558428561,
      "deflection": 27848139629922.508,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_2897",
      "improvement_over_parent": null
    },
    "node_2899": {
      "node_id": "node_2899",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 162.92 kg\n  Factor of Safety: 0.59\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": 162.92360586590564,
      "fos_buckling": 0.5948114993308833,
      "fos_yielding": 3.8550418385430203,
      "deflection": 0.013684016426885253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2898",
      "improvement_over_parent": null
    },
    "node_2900": {
      "node_id": "node_2900",
      "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 169.21 kg\n  Factor of Safety: 0.59\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": 169.2129170967497,
      "fos_buckling": 0.5943197484180953,
      "fos_yielding": 3.8542476342351453,
      "deflection": 0.013694772400549716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.437)"
      },
      "parent_node_id": "node_2899",
      "improvement_over_parent": null
    },
    "node_2901": {
      "node_id": "node_2901",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 201.99 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.9905118396352,
      "fos_buckling": 0.9808534863662134,
      "fos_yielding": 4.587299547621352,
      "deflection": 0.008818036561659009,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_2900",
      "improvement_over_parent": null
    },
    "node_2902": {
      "node_id": "node_2902",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6070407489298,
      "fos_buckling": 1.5259902436990076,
      "fos_yielding": 4.603690177869601,
      "deflection": 0.006969693473988085,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_2901",
      "improvement_over_parent": null
    },
    "node_2903": {
      "node_id": "node_2903",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2902",
      "improvement_over_parent": null
    },
    "node_2904": {
      "node_id": "node_2904",
      "content": "INITIAL DESIGN (Trace 422)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 126.36 kg\n  Factor of Safety: 0.50\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": 126.35675730458796,
      "fos_buckling": 0.50022080306208,
      "fos_yielding": 3.3073356527850573,
      "deflection": 0.018264023962715127,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2905": {
      "node_id": "node_2905",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 163.66 kg\n  Factor of Safety: 0.62\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": 163.66286588683533,
      "fos_buckling": 0.6189729985511152,
      "fos_yielding": 4.2699156474793165,
      "deflection": 0.014155004778665397,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_2904",
      "improvement_over_parent": null
    },
    "node_2906": {
      "node_id": "node_2906",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 196.06 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.47e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.05648552695362,
      "fos_buckling": 1.005612364669013,
      "fos_yielding": 5.1488237848569245,
      "deflection": 0.009468729377095272,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_2905",
      "improvement_over_parent": null
    },
    "node_2907": {
      "node_id": "node_2907",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 221.18 kg\n  Factor of Safety: 1.53\n  Max Deflection: 7.25e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 221.17578050445456,
      "fos_buckling": 1.5257275860284567,
      "fos_yielding": 4.55780447668915,
      "deflection": 0.007249680536884862,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_2906",
      "improvement_over_parent": null
    },
    "node_2908": {
      "node_id": "node_2908",
      "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.74144504430794,
      "fos_buckling": 1.5267321884062843,
      "fos_yielding": 4.607368862663108,
      "deflection": 0.006965641048791317,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.332)"
      },
      "parent_node_id": "node_2907",
      "improvement_over_parent": null
    },
    "node_2909": {
      "node_id": "node_2909",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2908",
      "improvement_over_parent": null
    },
    "node_2910": {
      "node_id": "node_2910",
      "content": "INITIAL DESIGN (Trace 423)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 148.28 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.27725254949215,
      "fos_buckling": 0.7661971269686587,
      "fos_yielding": 3.71397428021486,
      "deflection": 0.012017001148891567,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2911": {
      "node_id": "node_2911",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 175.18 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.1825292093233,
      "fos_buckling": 0.8818446052877476,
      "fos_yielding": 4.386262095925622,
      "deflection": 0.0102043421025603,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_2910",
      "improvement_over_parent": null
    },
    "node_2912": {
      "node_id": "node_2912",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.33 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.74e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.33413758506495,
      "fos_buckling": 1.00313406461534,
      "fos_yielding": 5.139068287168023,
      "deflection": 0.008737443369378131,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2911",
      "improvement_over_parent": null
    },
    "node_2913": {
      "node_id": "node_2913",
      "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.78 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.78009785415733,
      "fos_buckling": 1.0030170163227627,
      "fos_yielding": 5.13906828716802,
      "deflection": 0.008722385791672838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.253)"
      },
      "parent_node_id": "node_2912",
      "improvement_over_parent": null
    },
    "node_2914": {
      "node_id": "node_2914",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.44 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.43939413100475,
      "fos_buckling": 1.5250043724679698,
      "fos_yielding": 4.599920437056658,
      "deflection": 0.006975030882461422,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_2913",
      "improvement_over_parent": null
    },
    "node_2915": {
      "node_id": "node_2915",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2914",
      "improvement_over_parent": null
    },
    "node_2916": {
      "node_id": "node_2916",
      "content": "INITIAL DESIGN (Trace 424)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 169.26 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.26134862880863,
      "fos_buckling": 0.8936347772600022,
      "fos_yielding": 3.5563084551169615,
      "deflection": 0.010421090782357168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2917": {
      "node_id": "node_2917",
      "content": "MODIFICATION: Increase 1 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 178.32 kg\n  Factor of Safety: 0.89\n  Max Deflection: 9.88e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.32173827839136,
      "fos_buckling": 0.8925720410724014,
      "fos_yielding": 3.5563084551169615,
      "deflection": 0.009883946096457784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.610)"
      },
      "parent_node_id": "node_2916",
      "improvement_over_parent": null
    },
    "node_2918": {
      "node_id": "node_2918",
      "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 179.73 kg\n  Factor of Safety: 0.89\n  Max Deflection: 9.88e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.73173460637844,
      "fos_buckling": 0.8925720410724014,
      "fos_yielding": 4.08490204112151,
      "deflection": 0.009883946096457784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.616)"
      },
      "parent_node_id": "node_2917",
      "improvement_over_parent": null
    },
    "node_2919": {
      "node_id": "node_2919",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 201.98 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.9775221314392,
      "fos_buckling": 0.9807553686952409,
      "fos_yielding": 4.5867968751169315,
      "deflection": 0.008818984258178035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_2918",
      "improvement_over_parent": null
    },
    "node_2920": {
      "node_id": "node_2920",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5940510407338,
      "fos_buckling": 1.5255817248822676,
      "fos_yielding": 4.603188801504739,
      "deflection": 0.006970135723234122,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_2919",
      "improvement_over_parent": null
    },
    "node_2921": {
      "node_id": "node_2921",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2920",
      "improvement_over_parent": null
    },
    "node_2922": {
      "node_id": "node_2922",
      "content": "INITIAL DESIGN (Trace 425)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\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_2923": {
      "node_id": "node_2923",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n\nPerformance:\n  Mass: 132.97 kg\n  Factor of Safety: 0.71\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": 132.9681173727473,
      "fos_buckling": 0.7063918320600936,
      "fos_yielding": 3.381110222567145,
      "deflection": 0.013156595103871817,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004333)"
      },
      "parent_node_id": "node_2922",
      "improvement_over_parent": null
    },
    "node_2924": {
      "node_id": "node_2924",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n  Mass: 149.46 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.46189052644377,
      "fos_buckling": 1.073337627182637,
      "fos_yielding": 3.03111366708368,
      "deflection": 0.010520760366067307,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004529)"
      },
      "parent_node_id": "node_2923",
      "improvement_over_parent": null
    },
    "node_2925": {
      "node_id": "node_2925",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 175.69 kg\n  Factor of Safety: 1.23\n  Max Deflection: 8.98e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.6939218105493,
      "fos_buckling": 1.2333961552978618,
      "fos_yielding": 3.5599358270694967,
      "deflection": 0.008976525512662623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_2924",
      "improvement_over_parent": null
    },
    "node_2926": {
      "node_id": "node_2926",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.71452976958932,
      "fos_buckling": 1.5264251303236456,
      "fos_yielding": 4.605863715612965,
      "deflection": 0.006966523080289887,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_2925",
      "improvement_over_parent": null
    },
    "node_2927": {
      "node_id": "node_2927",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 426)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 125.13 kg\n  Factor of Safety: 0.64\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": 125.13435911510469,
      "fos_buckling": 0.6415659540052427,
      "fos_yielding": 4.075209124626058,
      "deflection": 0.01648187216065473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2929": {
      "node_id": "node_2929",
      "content": "MODIFICATION: Increase 1 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n  Mass: 133.41 kg\n  Factor of Safety: 0.64\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": 133.41328571905285,
      "fos_buckling": 0.640864591039922,
      "fos_yielding": 4.075209124626058,
      "deflection": 0.014636712062364467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.629)"
      },
      "parent_node_id": "node_2928",
      "improvement_over_parent": null
    },
    "node_2930": {
      "node_id": "node_2930",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n  Mass: 153.69 kg\n  Factor of Safety: 0.64\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": 153.69280336152454,
      "fos_buckling": 0.6391530395549879,
      "fos_yielding": 4.075209124626058,
      "deflection": 0.012140895792221261,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005583)"
      },
      "parent_node_id": "node_2929",
      "improvement_over_parent": null
    },
    "node_2931": {
      "node_id": "node_2931",
      "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0076)]\n\nPerformance:\n  Mass: 160.49 kg\n  Factor of Safety: 0.64\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": 160.48566148900824,
      "fos_buckling": 0.6385817778182395,
      "fos_yielding": 4.075209124626058,
      "deflection": 0.01196433789486997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.370)"
      },
      "parent_node_id": "node_2930",
      "improvement_over_parent": null
    },
    "node_2932": {
      "node_id": "node_2932",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0076)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 180.37 kg\n  Factor of Safety: 1.04\n  Max Deflection: 9.03e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.36924791271943,
      "fos_buckling": 1.0403692864341179,
      "fos_yielding": 3.6031585875904697,
      "deflection": 0.009028923285061706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005528)"
      },
      "parent_node_id": "node_2931",
      "improvement_over_parent": null
    },
    "node_2933": {
      "node_id": "node_2933",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0099)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.71 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.7087291361432,
      "fos_buckling": 1.2778099945923045,
      "fos_yielding": 4.545395134752086,
      "deflection": 0.007181384160046473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_2932",
      "improvement_over_parent": null
    },
    "node_2934": {
      "node_id": "node_2934",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2933",
      "improvement_over_parent": null
    },
    "node_2935": {
      "node_id": "node_2935",
      "content": "INITIAL DESIGN (Trace 427)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n  Mass: 156.53 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.52845813374458,
      "fos_buckling": 1.0830775579714036,
      "fos_yielding": 3.429761530460172,
      "deflection": 0.010517048583629207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2936": {
      "node_id": "node_2936",
      "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n  Mass: 161.40 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.39591436589623,
      "fos_buckling": 1.0793980334606434,
      "fos_yielding": 3.46661574345807,
      "deflection": 0.010142026631787659,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.318)"
      },
      "parent_node_id": "node_2935",
      "improvement_over_parent": null
    },
    "node_2937": {
      "node_id": "node_2937",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 183.56 kg\n  Factor of Safety: 1.20\n  Max Deflection: 8.94e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.5603949415097,
      "fos_buckling": 1.203788001569602,
      "fos_yielding": 3.9383044626158235,
      "deflection": 0.00893552944831104,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_2936",
      "improvement_over_parent": null
    },
    "node_2938": {
      "node_id": "node_2938",
      "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 188.70 kg\n  Factor of Safety: 1.34\n  Max Deflection: 8.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.69829324902966,
      "fos_buckling": 1.339492917106582,
      "fos_yielding": 3.9356032565609467,
      "deflection": 0.00846217584147072,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.414)"
      },
      "parent_node_id": "node_2937",
      "improvement_over_parent": null
    },
    "node_2939": {
      "node_id": "node_2939",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 221.25 kg\n  Factor of Safety: 1.52\n  Max Deflection: 7.24e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 221.24618594913014,
      "fos_buckling": 1.5239669157547038,
      "fos_yielding": 4.6075905730363536,
      "deflection": 0.007242131792905737,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2938",
      "improvement_over_parent": null
    },
    "node_2940": {
      "node_id": "node_2940",
      "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.70728895991581,
      "fos_buckling": 1.5260706882303694,
      "fos_yielding": 4.60517429722554,
      "deflection": 0.006966573120042835,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.330)"
      },
      "parent_node_id": "node_2939",
      "improvement_over_parent": null
    },
    "node_2941": {
      "node_id": "node_2941",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2940",
      "improvement_over_parent": null
    },
    "node_2942": {
      "node_id": "node_2942",
      "content": "INITIAL DESIGN (Trace 428)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0023)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0028)]\n\nPerformance:\n  Mass: 107.97 kg\n  Factor of Safety: 0.65\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": 107.973512285903,
      "fos_buckling": 0.6483435347922052,
      "fos_yielding": 2.4290715303502686,
      "deflection": 0.01474220792167249,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2943": {
      "node_id": "node_2943",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0036)]\n\nPerformance:\n  Mass: 139.38 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.37586800623168,
      "fos_buckling": 0.82209036570691,
      "fos_yielding": 3.1286883249000117,
      "deflection": 0.01145558219478363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_2942",
      "improvement_over_parent": null
    },
    "node_2944": {
      "node_id": "node_2944",
      "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0036)]\n\nPerformance:\n  Mass: 139.83 kg\n  Factor of Safety: 0.83\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": 139.8280579818369,
      "fos_buckling": 0.8324906618425956,
      "fos_yielding": 3.1213539411471136,
      "deflection": 0.011315788535829704,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.408)"
      },
      "parent_node_id": "node_2943",
      "improvement_over_parent": null
    },
    "node_2945": {
      "node_id": "node_2945",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 164.45 kg\n  Factor of Safety: 0.97\n  Max Deflection: 9.65e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.445486836079,
      "fos_buckling": 0.9651330018252585,
      "fos_yielding": 3.6646795876940375,
      "deflection": 0.00964611941914134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_2944",
      "improvement_over_parent": null
    },
    "node_2946": {
      "node_id": "node_2946",
      "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 168.52 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.45e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.51660831243132,
      "fos_buckling": 1.0043303473172973,
      "fos_yielding": 3.636979740671924,
      "deflection": 0.0094549997661583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.272)"
      },
      "parent_node_id": "node_2945",
      "improvement_over_parent": null
    },
    "node_2947": {
      "node_id": "node_2947",
      "content": "MODIFICATION: Increase 10 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 176.84 kg\n  Factor of Safety: 1.12\n  Max Deflection: 8.89e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.84237328562523,
      "fos_buckling": 1.1224689018668994,
      "fos_yielding": 3.700642053732008,
      "deflection": 0.00888861611304659,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.497)"
      },
      "parent_node_id": "node_2946",
      "improvement_over_parent": null
    },
    "node_2948": {
      "node_id": "node_2948",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 220.28 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.17e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.27630054010436,
      "fos_buckling": 1.363204772747944,
      "fos_yielding": 4.600522215419424,
      "deflection": 0.007170648691854772,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_2947",
      "improvement_over_parent": null
    },
    "node_2949": {
      "node_id": "node_2949",
      "content": "MODIFICATION: Increase 2 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.5112731645211,
      "fos_buckling": 1.5251339450872845,
      "fos_yielding": 4.602040450834037,
      "deflection": 0.00697268783668016,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.534)"
      },
      "parent_node_id": "node_2948",
      "improvement_over_parent": null
    },
    "node_2950": {
      "node_id": "node_2950",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2949",
      "improvement_over_parent": null
    },
    "node_2951": {
      "node_id": "node_2951",
      "content": "INITIAL DESIGN (Trace 429)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 125.25 kg\n  Factor of Safety: 1.31\n  Max Deflection: 1.04e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.25144240932036,
      "fos_buckling": 1.3113573777581662,
      "fos_yielding": 3.4624419246472784,
      "deflection": 104028374742750.64,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2952": {
      "node_id": "node_2952",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n\nPerformance:\n  Mass: 144.03 kg\n  Factor of Safety: 0.38\n  Max Deflection: 6.17e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.0309079812996,
      "fos_buckling": 0.37906700928797105,
      "fos_yielding": 3.093344563705565,
      "deflection": 61673838248245.695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005835)"
      },
      "parent_node_id": "node_2951",
      "improvement_over_parent": null
    },
    "node_2953": {
      "node_id": "node_2953",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 166.07 kg\n  Factor of Safety: 0.13\n  Max Deflection: 1.55e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.07055729861744,
      "fos_buckling": 0.1253289904750182,
      "fos_yielding": 1.2801789977574314,
      "deflection": 155066755918573.22,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_2952",
      "improvement_over_parent": null
    },
    "node_2954": {
      "node_id": "node_2954",
      "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0093)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 172.80 kg\n  Factor of Safety: 0.21\n  Max Deflection: 2.25e+14 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.79857059616717,
      "fos_buckling": 0.21341724602500464,
      "fos_yielding": 1.1706788448631869,
      "deflection": 224531269626992.16,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.304)"
      },
      "parent_node_id": "node_2953",
      "improvement_over_parent": null
    },
    "node_2955": {
      "node_id": "node_2955",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0093)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 198.42 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.40e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.41509950546177,
      "fos_buckling": 0.5098507276621895,
      "fos_yielding": 4.259102355635986,
      "deflection": 0.034045878893644535,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_2954",
      "improvement_over_parent": null
    },
    "node_2956": {
      "node_id": "node_2956",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0093)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 200.80 kg\n  Factor of Safety: 0.62\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": 200.79978181704791,
      "fos_buckling": 0.6152977922012705,
      "fos_yielding": 3.6282081939532014,
      "deflection": 0.011900412413146572,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_2955",
      "improvement_over_parent": null
    },
    "node_2957": {
      "node_id": "node_2957",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0093)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 233.19 kg\n  Factor of Safety: 1.34\n  Max Deflection: 6.96e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.1934014571662,
      "fos_buckling": 1.3383569377379858,
      "fos_yielding": 3.598761633180489,
      "deflection": 0.006955098643658339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_2956",
      "improvement_over_parent": null
    },
    "node_2958": {
      "node_id": "node_2958",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 430)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 121.84 kg\n  Factor of Safety: 0.64\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": 121.83544593375487,
      "fos_buckling": 0.6373189835343185,
      "fos_yielding": 3.06734081147582,
      "deflection": 0.017542944830553738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2960": {
      "node_id": "node_2960",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 154.53 kg\n  Factor of Safety: 0.78\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": 154.526860410928,
      "fos_buckling": 0.7832208453777681,
      "fos_yielding": 3.8817640314678883,
      "deflection": 0.013857555328240522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_2959",
      "improvement_over_parent": null
    },
    "node_2961": {
      "node_id": "node_2961",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n\nPerformance:\n  Mass: 171.33 kg\n  Factor of Safety: 0.80\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": 171.3262405551161,
      "fos_buckling": 0.7959855377293232,
      "fos_yielding": 3.905230217385522,
      "deflection": 0.013887045337039867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005117)"
      },
      "parent_node_id": "node_2960",
      "improvement_over_parent": null
    },
    "node_2962": {
      "node_id": "node_2962",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n\nPerformance:\n  Mass: 173.14 kg\n  Factor of Safety: 1.22\n  Max Deflection: 9.11e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.13960954553744,
      "fos_buckling": 1.218181998835462,
      "fos_yielding": 3.508566918500576,
      "deflection": 0.009106353708581403,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002814)"
      },
      "parent_node_id": "node_2961",
      "improvement_over_parent": null
    },
    "node_2963": {
      "node_id": "node_2963",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n\nPerformance:\n  Mass: 202.03 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.83e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.03412747934632,
      "fos_buckling": 1.3858037663136964,
      "fos_yielding": 4.090088862130488,
      "deflection": 0.007829432028252592,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_2962",
      "improvement_over_parent": null
    },
    "node_2964": {
      "node_id": "node_2964",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7740609328683,
      "fos_buckling": 1.5267490042754273,
      "fos_yielding": 4.607164597632703,
      "deflection": 0.006964765994170922,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_2963",
      "improvement_over_parent": null
    },
    "node_2965": {
      "node_id": "node_2965",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2964",
      "improvement_over_parent": null
    },
    "node_2966": {
      "node_id": "node_2966",
      "content": "INITIAL DESIGN (Trace 431)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 132.38 kg\n  Factor of Safety: 0.77\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": 132.3846686431874,
      "fos_buckling": 0.7662153138528194,
      "fos_yielding": 3.1678291556795726,
      "deflection": 0.013986074193498964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2967": {
      "node_id": "node_2967",
      "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 132.91 kg\n  Factor of Safety: 0.77\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": 132.91033097146826,
      "fos_buckling": 0.7662153138528194,
      "fos_yielding": 3.705814249299096,
      "deflection": 0.013986074193498964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.181)"
      },
      "parent_node_id": "node_2966",
      "improvement_over_parent": null
    },
    "node_2968": {
      "node_id": "node_2968",
      "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 135.45 kg\n  Factor of Safety: 0.77\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": 135.45489668241328,
      "fos_buckling": 0.7659579509049279,
      "fos_yielding": 3.705814249299096,
      "deflection": 0.013844324697956366,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.203)"
      },
      "parent_node_id": "node_2967",
      "improvement_over_parent": null
    },
    "node_2969": {
      "node_id": "node_2969",
      "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 141.61 kg\n  Factor of Safety: 0.77\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": 141.61474296875576,
      "fos_buckling": 0.7653356458335026,
      "fos_yielding": 3.705814249299096,
      "deflection": 0.012335060687757976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.462)"
      },
      "parent_node_id": "node_2968",
      "improvement_over_parent": null
    },
    "node_2970": {
      "node_id": "node_2970",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n  Mass: 159.70 kg\n  Factor of Safety: 1.16\n  Max Deflection: 9.95e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.69752421066877,
      "fos_buckling": 1.1605232519640338,
      "fos_yielding": 3.3226021599362254,
      "deflection": 0.009946835759260978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004994)"
      },
      "parent_node_id": "node_2969",
      "improvement_over_parent": null
    },
    "node_2971": {
      "node_id": "node_2971",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n  Mass: 197.76 kg\n  Factor of Safety: 1.39\n  Max Deflection: 8.07e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.75780442223976,
      "fos_buckling": 1.3884620561416317,
      "fos_yielding": 4.1075770936293425,
      "deflection": 0.00806539585809443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_2970",
      "improvement_over_parent": null
    },
    "node_2972": {
      "node_id": "node_2972",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 222.11 kg\n  Factor of Safety: 1.52\n  Max Deflection: 7.20e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 222.10789418860082,
      "fos_buckling": 1.5247335008564378,
      "fos_yielding": 4.608344323209519,
      "deflection": 0.007199872669450107,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_2971",
      "improvement_over_parent": null
    },
    "node_2973": {
      "node_id": "node_2973",
      "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.79 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.78757635199338,
      "fos_buckling": 1.5265107466762295,
      "fos_yielding": 4.6062632904121115,
      "deflection": 0.006964217780485921,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.280)"
      },
      "parent_node_id": "node_2972",
      "improvement_over_parent": null
    },
    "node_2974": {
      "node_id": "node_2974",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2973",
      "improvement_over_parent": null
    },
    "node_2975": {
      "node_id": "node_2975",
      "content": "INITIAL DESIGN (Trace 432)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 190.08 kg\n  Factor of Safety: 0.86\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": 190.08305757731264,
      "fos_buckling": 0.8645294639451073,
      "fos_yielding": 4.418528655755839,
      "deflection": 0.013052457314159821,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2976": {
      "node_id": "node_2976",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n\nPerformance:\n  Mass: 192.16 kg\n  Factor of Safety: 1.36\n  Max Deflection: 8.32e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.15832488955573,
      "fos_buckling": 1.3628739411234132,
      "fos_yielding": 3.96537192191479,
      "deflection": 0.008323150404579068,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003254)"
      },
      "parent_node_id": "node_2975",
      "improvement_over_parent": null
    },
    "node_2977": {
      "node_id": "node_2977",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 220.92 kg\n  Factor of Safety: 1.53\n  Max Deflection: 7.26e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 220.91756149449816,
      "fos_buckling": 1.5255299628633883,
      "fos_yielding": 4.553406333244369,
      "deflection": 0.007261477757429452,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_2976",
      "improvement_over_parent": null
    },
    "node_2978": {
      "node_id": "node_2978",
      "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.62858834682623,
      "fos_buckling": 1.5262060792125332,
      "fos_yielding": 4.604348555539275,
      "deflection": 0.006969144703223503,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.342)"
      },
      "parent_node_id": "node_2977",
      "improvement_over_parent": null
    },
    "node_2979": {
      "node_id": "node_2979",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2978",
      "improvement_over_parent": null
    },
    "node_2980": {
      "node_id": "node_2980",
      "content": "INITIAL DESIGN (Trace 433)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0029)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n  Mass: 120.87 kg\n  Factor of Safety: 0.68\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": 120.8653985263506,
      "fos_buckling": 0.6752427714996019,
      "fos_yielding": 3.2760199340856246,
      "deflection": 0.018839416286917075,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2981": {
      "node_id": "node_2981",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0029)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n\nPerformance:\n  Mass: 122.39 kg\n  Factor of Safety: 0.67\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": 122.39069914913367,
      "fos_buckling": 0.6749704109689583,
      "fos_yielding": 2.88431898142757,
      "deflection": 0.01446252989086664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002341)"
      },
      "parent_node_id": "node_2980",
      "improvement_over_parent": null
    },
    "node_2982": {
      "node_id": "node_2982",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n\nPerformance:\n  Mass: 135.76 kg\n  Factor of Safety: 0.74\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": 135.75943754646744,
      "fos_buckling": 0.7384310378036718,
      "fos_yielding": 3.197345793104589,
      "deflection": 0.013058137241589586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_2981",
      "improvement_over_parent": null
    },
    "node_2983": {
      "node_id": "node_2983",
      "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n\nPerformance:\n  Mass: 139.36 kg\n  Factor of Safety: 0.74\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": 139.36160258226803,
      "fos_buckling": 0.7380801026044429,
      "fos_yielding": 3.2331973413715303,
      "deflection": 0.012651183830439207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.302)"
      },
      "parent_node_id": "node_2982",
      "improvement_over_parent": null
    },
    "node_2984": {
      "node_id": "node_2984",
      "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n\nPerformance:\n  Mass: 143.29 kg\n  Factor of Safety: 0.74\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": 143.28573882597263,
      "fos_buckling": 0.7376981792900981,
      "fos_yielding": 3.2609456337871685,
      "deflection": 0.012343323942687709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.259)"
      },
      "parent_node_id": "node_2983",
      "improvement_over_parent": null
    },
    "node_2985": {
      "node_id": "node_2985",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n\nPerformance:\n  Mass: 161.47 kg\n  Factor of Safety: 1.15\n  Max Deflection: 9.75e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.46531754389872,
      "fos_buckling": 1.1474846317698673,
      "fos_yielding": 3.2729551534525827,
      "deflection": 0.009752047264786382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004967)"
      },
      "parent_node_id": "node_2984",
      "improvement_over_parent": null
    },
    "node_2986": {
      "node_id": "node_2986",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n\nPerformance:\n  Mass: 188.73 kg\n  Factor of Safety: 1.31\n  Max Deflection: 8.37e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.73328874490224,
      "fos_buckling": 1.3097398078520153,
      "fos_yielding": 3.8221554905280386,
      "deflection": 0.00836879220953308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_2985",
      "improvement_over_parent": null
    },
    "node_2987": {
      "node_id": "node_2987",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.41 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.4056741514753,
      "fos_buckling": 1.5246276575127158,
      "fos_yielding": 4.599314998170571,
      "deflection": 0.006975865076276395,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_2986",
      "improvement_over_parent": null
    },
    "node_2988": {
      "node_id": "node_2988",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2987",
      "improvement_over_parent": null
    },
    "node_2989": {
      "node_id": "node_2989",
      "content": "INITIAL DESIGN (Trace 434)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 168.90 kg\n  Factor of Safety: 0.63\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": 168.90454923757997,
      "fos_buckling": 0.6318243357599889,
      "fos_yielding": 3.5150509872502353,
      "deflection": 0.014765252145477812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2990": {
      "node_id": "node_2990",
      "content": "MODIFICATION: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 176.09 kg\n  Factor of Safety: 0.81\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": 176.0911721061016,
      "fos_buckling": 0.8111852239562315,
      "fos_yielding": 3.583348963519704,
      "deflection": 0.01344790326041231,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.422)"
      },
      "parent_node_id": "node_2989",
      "improvement_over_parent": null
    },
    "node_2991": {
      "node_id": "node_2991",
      "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 177.01 kg\n  Factor of Safety: 0.82\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": 177.01330574135963,
      "fos_buckling": 0.8181513140156944,
      "fos_yielding": 4.0343516271448845,
      "deflection": 0.013447209211126429,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.393)"
      },
      "parent_node_id": "node_2990",
      "improvement_over_parent": null
    },
    "node_2992": {
      "node_id": "node_2992",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 225.23 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.22781269661525,
      "fos_buckling": 0.9992448994170627,
      "fos_yielding": 5.123159541126337,
      "deflection": 0.010601259634660479,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_2991",
      "improvement_over_parent": null
    },
    "node_2993": {
      "node_id": "node_2993",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6124950082014,
      "fos_buckling": 1.5259808806890216,
      "fos_yielding": 4.60424517678519,
      "deflection": 0.006969571554034112,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_2992",
      "improvement_over_parent": null
    },
    "node_2994": {
      "node_id": "node_2994",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2993",
      "improvement_over_parent": null
    },
    "node_2995": {
      "node_id": "node_2995",
      "content": "INITIAL DESIGN (Trace 435)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n  Mass: 139.17 kg\n  Factor of Safety: 0.66\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": 139.170275407068,
      "fos_buckling": 0.6644937926886785,
      "fos_yielding": 2.98448140318889,
      "deflection": 0.01418979073934998,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2996": {
      "node_id": "node_2996",
      "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n  Mass: 143.05 kg\n  Factor of Safety: 0.77\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": 143.0473848976686,
      "fos_buckling": 0.7743246602940693,
      "fos_yielding": 2.98448140318889,
      "deflection": 0.013487836084187743,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.203)"
      },
      "parent_node_id": "node_2995",
      "improvement_over_parent": null
    },
    "node_2997": {
      "node_id": "node_2997",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n\nPerformance:\n  Mass: 162.26 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.2641532488708,
      "fos_buckling": 0.8570376152836306,
      "fos_yielding": 2.5167017122687407,
      "deflection": 0.010092849502357382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005270)"
      },
      "parent_node_id": "node_2996",
      "improvement_over_parent": null
    },
    "node_2998": {
      "node_id": "node_2998",
      "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n\nPerformance:\n  Mass: 163.46 kg\n  Factor of Safety: 1.15\n  Max Deflection: 9.86e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.46408945315056,
      "fos_buckling": 1.1521243889240769,
      "fos_yielding": 3.46337414346406,
      "deflection": 0.009855053697784421,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.616)"
      },
      "parent_node_id": "node_2997",
      "improvement_over_parent": null
    },
    "node_2999": {
      "node_id": "node_2999",
      "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n\nPerformance:\n  Mass: 170.76 kg\n  Factor of Safety: 1.20\n  Max Deflection: 9.23e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.76043427245315,
      "fos_buckling": 1.2039181682724462,
      "fos_yielding": 3.460529272319419,
      "deflection": 0.009230682090582384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.570)"
      },
      "parent_node_id": "node_2998",
      "improvement_over_parent": null
    },
    "node_3000": {
      "node_id": "node_3000",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n  Mass: 204.88 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.72e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.88443637438536,
      "fos_buckling": 1.4017815044823796,
      "fos_yielding": 4.147268595764325,
      "deflection": 0.007722929337982529,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_2999",
      "improvement_over_parent": null
    },
    "node_3001": {
      "node_id": "node_3001",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63024108928167,
      "fos_buckling": 1.525965758819621,
      "fos_yielding": 4.604143021417879,
      "deflection": 0.006969003281449622,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_3000",
      "improvement_over_parent": null
    },
    "node_3002": {
      "node_id": "node_3002",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3001",
      "improvement_over_parent": null
    },
    "node_3003": {
      "node_id": "node_3003",
      "content": "INITIAL DESIGN (Trace 436)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n  Mass: 128.17 kg\n  Factor of Safety: 0.44\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": 128.1725504834413,
      "fos_buckling": 0.4377996005924593,
      "fos_yielding": 2.683389682305763,
      "deflection": 0.017583630456608365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3004": {
      "node_id": "node_3004",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 149.11 kg\n  Factor of Safety: 0.50\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": 149.10634956768513,
      "fos_buckling": 0.49789299681185384,
      "fos_yielding": 3.1168581694842814,
      "deflection": 0.015155323673856467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_3003",
      "improvement_over_parent": null
    },
    "node_3005": {
      "node_id": "node_3005",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 170.75 kg\n  Factor of Safety: 1.13\n  Max Deflection: 9.16e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.7485900572675,
      "fos_buckling": 1.1306215416989738,
      "fos_yielding": 3.6897223153800374,
      "deflection": 0.009156908141952975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005204)"
      },
      "parent_node_id": "node_3004",
      "improvement_over_parent": null
    },
    "node_3006": {
      "node_id": "node_3006",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 211.61 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.42e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.6063707561162,
      "fos_buckling": 1.3589785359455506,
      "fos_yielding": 4.561032080156719,
      "deflection": 0.007423551583930095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_3005",
      "improvement_over_parent": null
    },
    "node_3007": {
      "node_id": "node_3007",
      "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 218.48 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.27e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.48360250529242,
      "fos_buckling": 1.355617815282709,
      "fos_yielding": 4.56191261588929,
      "deflection": 0.007271045062923892,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.403)"
      },
      "parent_node_id": "node_3006",
      "improvement_over_parent": null
    },
    "node_3008": {
      "node_id": "node_3008",
      "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 224.34 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.33683629381179,
      "fos_buckling": 1.493857948480147,
      "fos_yielding": 4.601476591542912,
      "deflection": 0.007045769872625344,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.239)"
      },
      "parent_node_id": "node_3007",
      "improvement_over_parent": null
    },
    "node_3009": {
      "node_id": "node_3009",
      "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.49 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.48801041077334,
      "fos_buckling": 1.5248984161085934,
      "fos_yielding": 4.602001961671192,
      "deflection": 0.00697314150581409,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.183)"
      },
      "parent_node_id": "node_3008",
      "improvement_over_parent": null
    },
    "node_3010": {
      "node_id": "node_3010",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3009",
      "improvement_over_parent": null
    },
    "node_3011": {
      "node_id": "node_3011",
      "content": "INITIAL DESIGN (Trace 437)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 171.92 kg\n  Factor of Safety: 0.98\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": 171.91578751192938,
      "fos_buckling": 0.9848196383197423,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.011776048839976351,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3012": {
      "node_id": "node_3012",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 197.53 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.79e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.53231642122398,
      "fos_buckling": 1.004856289819246,
      "fos_yielding": 5.1437712751673565,
      "deflection": 0.009787535957603729,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_3011",
      "improvement_over_parent": null
    },
    "node_3013": {
      "node_id": "node_3013",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 219.19 kg\n  Factor of Safety: 1.50\n  Max Deflection: 7.36e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.19161269807142,
      "fos_buckling": 1.4970025830179579,
      "fos_yielding": 4.536287993193287,
      "deflection": 0.0073604128285163235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_3012",
      "improvement_over_parent": null
    },
    "node_3014": {
      "node_id": "node_3014",
      "content": "MODIFICATION: Increase 1 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.61260414594318,
      "fos_buckling": 1.5261575938078855,
      "fos_yielding": 4.604097186830015,
      "deflection": 0.006969642931261513,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.466)"
      },
      "parent_node_id": "node_3013",
      "improvement_over_parent": null
    },
    "node_3015": {
      "node_id": "node_3015",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3014",
      "improvement_over_parent": null
    },
    "node_3016": {
      "node_id": "node_3016",
      "content": "INITIAL DESIGN (Trace 438)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n  Mass: 132.41 kg\n  Factor of Safety: 0.35\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": 132.4089432537758,
      "fos_buckling": 0.345508456417417,
      "fos_yielding": 2.048599349616039,
      "deflection": 0.018997605021548628,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3017": {
      "node_id": "node_3017",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 147.75 kg\n  Factor of Safety: 0.38\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": 147.7453409535055,
      "fos_buckling": 0.381420901945006,
      "fos_yielding": 2.288343123004378,
      "deflection": 0.01704426619263048,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_3016",
      "improvement_over_parent": null
    },
    "node_3018": {
      "node_id": "node_3018",
      "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 151.81 kg\n  Factor of Safety: 0.49\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": 151.80825156527345,
      "fos_buckling": 0.485251693372454,
      "fos_yielding": 2.2874282980551195,
      "deflection": 0.015731735232554302,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.337)"
      },
      "parent_node_id": "node_3017",
      "improvement_over_parent": null
    },
    "node_3019": {
      "node_id": "node_3019",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 177.49 kg\n  Factor of Safety: 1.06\n  Max Deflection: 8.97e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.48740483418385,
      "fos_buckling": 1.0561465042006786,
      "fos_yielding": 2.749089329861901,
      "deflection": 0.008965929571527094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006245)"
      },
      "parent_node_id": "node_3018",
      "improvement_over_parent": null
    },
    "node_3020": {
      "node_id": "node_3020",
      "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 178.45 kg\n  Factor of Safety: 1.25\n  Max Deflection: 8.84e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.4494509306607,
      "fos_buckling": 1.2492786585720688,
      "fos_yielding": 3.6152877891115716,
      "deflection": 0.008840858442771111,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.346)"
      },
      "parent_node_id": "node_3019",
      "improvement_over_parent": null
    },
    "node_3021": {
      "node_id": "node_3021",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.86 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.86295336304974,
      "fos_buckling": 1.526720281514826,
      "fos_yielding": 4.60866296814395,
      "deflection": 0.006962251339451963,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_3020",
      "improvement_over_parent": null
    },
    "node_3022": {
      "node_id": "node_3022",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3021",
      "improvement_over_parent": null
    },
    "node_3023": {
      "node_id": "node_3023",
      "content": "INITIAL DESIGN (Trace 439)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 124.22 kg\n  Factor of Safety: 0.47\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": 124.21697910836488,
      "fos_buckling": 0.47239804471060043,
      "fos_yielding": 2.2360115155944134,
      "deflection": 0.01916786204959563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3024": {
      "node_id": "node_3024",
      "content": "MODIFICATION: Increase 3 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 125.10 kg\n  Factor of Safety: 0.47\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": 125.09628505766207,
      "fos_buckling": 0.4723980447106004,
      "fos_yielding": 3.096368519056623,
      "deflection": 0.018724330384177007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.410)"
      },
      "parent_node_id": "node_3023",
      "improvement_over_parent": null
    },
    "node_3025": {
      "node_id": "node_3025",
      "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 125.64 kg\n  Factor of Safety: 0.47\n  Max Deflection: 1.84e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.63983487109124,
      "fos_buckling": 0.47233016755211216,
      "fos_yielding": 3.096227735458942,
      "deflection": 0.01842540904579036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.490)"
      },
      "parent_node_id": "node_3024",
      "improvement_over_parent": null
    },
    "node_3026": {
      "node_id": "node_3026",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n\nPerformance:\n  Mass: 149.09 kg\n  Factor of Safety: 0.77\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": 149.08646879389786,
      "fos_buckling": 0.7682587013158235,
      "fos_yielding": 3.7259922643073953,
      "deflection": 0.011956959131617251,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005704)"
      },
      "parent_node_id": "node_3025",
      "improvement_over_parent": null
    },
    "node_3027": {
      "node_id": "node_3027",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n  Mass: 179.66 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.96e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.65954790981579,
      "fos_buckling": 0.89870178538063,
      "fos_yielding": 4.488320487654058,
      "deflection": 0.009959053437865493,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_3026",
      "improvement_over_parent": null
    },
    "node_3028": {
      "node_id": "node_3028",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 205.83 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.82634673363265,
      "fos_buckling": 1.003209517349294,
      "fos_yielding": 5.140305482313625,
      "deflection": 0.00872047461911914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_3027",
      "improvement_over_parent": null
    },
    "node_3029": {
      "node_id": "node_3029",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.49 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.4856430104801,
      "fos_buckling": 1.5252479109913508,
      "fos_yielding": 4.601054494336838,
      "deflection": 0.006973642597599809,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_3028",
      "improvement_over_parent": null
    },
    "node_3030": {
      "node_id": "node_3030",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3029",
      "improvement_over_parent": null
    },
    "node_3031": {
      "node_id": "node_3031",
      "content": "INITIAL DESIGN (Trace 440)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n\nPerformance:\n  Mass: 103.54 kg\n  Factor of Safety: 0.57\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": 103.53599126293386,
      "fos_buckling": 0.5657263060713418,
      "fos_yielding": 2.633580754098844,
      "deflection": 0.016835940474858715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3032": {
      "node_id": "node_3032",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 135.97 kg\n  Factor of Safety: 0.72\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": 135.96680279740895,
      "fos_buckling": 0.7202249712379036,
      "fos_yielding": 3.4572094917977148,
      "deflection": 0.012871268301582209,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_3031",
      "improvement_over_parent": null
    },
    "node_3033": {
      "node_id": "node_3033",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n\nPerformance:\n  Mass: 152.82 kg\n  Factor of Safety: 1.09\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.81765544815698,
      "fos_buckling": 1.0942349708878985,
      "fos_yielding": 3.0991634510040535,
      "deflection": 0.010293312325288299,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004633)"
      },
      "parent_node_id": "node_3032",
      "improvement_over_parent": null
    },
    "node_3034": {
      "node_id": "node_3034",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n  Mass: 187.87 kg\n  Factor of Safety: 1.30\n  Max Deflection: 8.41e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.86506374320106,
      "fos_buckling": 1.3047951433269034,
      "fos_yielding": 3.8053998093909978,
      "deflection": 0.008406233790596141,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_3033",
      "improvement_over_parent": null
    },
    "node_3035": {
      "node_id": "node_3035",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.72363653392486,
      "fos_buckling": 1.526407981062342,
      "fos_yielding": 4.606546378298567,
      "deflection": 0.00696603928692738,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.233)"
      },
      "parent_node_id": "node_3034",
      "improvement_over_parent": null
    },
    "node_3036": {
      "node_id": "node_3036",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3035",
      "improvement_over_parent": null
    },
    "node_3037": {
      "node_id": "node_3037",
      "content": "INITIAL DESIGN (Trace 441)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 123.05 kg\n  Factor of Safety: 0.37\n  Max Deflection: 4.49e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.05452035099287,
      "fos_buckling": 0.37367413332540456,
      "fos_yielding": 3.967997333565327,
      "deflection": 44925909496999.99,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3038": {
      "node_id": "node_3038",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 147.93 kg\n  Factor of Safety: 0.35\n  Max Deflection: 5.17e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.93009640525597,
      "fos_buckling": 0.3458046716448246,
      "fos_yielding": 3.828063408493079,
      "deflection": 51673722360006.4,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_3037",
      "improvement_over_parent": null
    },
    "node_3039": {
      "node_id": "node_3039",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 169.59 kg\n  Factor of Safety: 0.50\n  Max Deflection: 4.22e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.58939268210338,
      "fos_buckling": 0.5014227643576842,
      "fos_yielding": 6.266573927403113,
      "deflection": 42172827961321.62,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_3038",
      "improvement_over_parent": null
    },
    "node_3040": {
      "node_id": "node_3040",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 201.98 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.98301232222167,
      "fos_buckling": 0.9809277395775607,
      "fos_yielding": 4.586858874363933,
      "deflection": 0.0088184741525687,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_3039",
      "improvement_over_parent": null
    },
    "node_3041": {
      "node_id": "node_3041",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.59954123151627,
      "fos_buckling": 1.5257598658900406,
      "fos_yielding": 4.6032484366747335,
      "deflection": 0.0069700205470214355,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_3040",
      "improvement_over_parent": null
    },
    "node_3042": {
      "node_id": "node_3042",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3041",
      "improvement_over_parent": null
    },
    "node_3043": {
      "node_id": "node_3043",
      "content": "INITIAL DESIGN (Trace 442)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 136.87 kg\n  Factor of Safety: 0.15\n  Max Deflection: 6.04e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.8667850117342,
      "fos_buckling": 0.15109144008310132,
      "fos_yielding": 1.690453759126872,
      "deflection": 60360975468196.88,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3044": {
      "node_id": "node_3044",
      "content": "MODIFICATION: Increase 4 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 138.11 kg\n  Factor of Safety: 0.15\n  Max Deflection: 6.04e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.1117686364372,
      "fos_buckling": 0.15109144008310132,
      "fos_yielding": 1.706905330343242,
      "deflection": 60360975468196.91,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.447)"
      },
      "parent_node_id": "node_3043",
      "improvement_over_parent": null
    },
    "node_3045": {
      "node_id": "node_3045",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 163.35 kg\n  Factor of Safety: 0.12\n  Max Deflection: 8.99e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.3545909792338,
      "fos_buckling": 0.12196003039305592,
      "fos_yielding": 1.7069053303432422,
      "deflection": 89934314252572.86,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_3044",
      "improvement_over_parent": null
    },
    "node_3046": {
      "node_id": "node_3046",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 165.74 kg\n  Factor of Safety: 0.02\n  Max Deflection: 2.81e+14 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.73927329081994,
      "fos_buckling": 0.019382455409087004,
      "fos_yielding": 0.11421485438818452,
      "deflection": 281234182379841.25,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_3045",
      "improvement_over_parent": null
    },
    "node_3047": {
      "node_id": "node_3047",
      "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 173.11 kg\n  Factor of Safety: 1.25\n  Max Deflection: 4.17e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.1078532354065,
      "fos_buckling": 1.247969654349583,
      "fos_yielding": 4.766098590562941,
      "deflection": 41712162000029.664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.387)"
      },
      "parent_node_id": "node_3046",
      "improvement_over_parent": null
    },
    "node_3048": {
      "node_id": "node_3048",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.89 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.885447978292,
      "fos_buckling": 1.0037622916980908,
      "fos_yielding": 5.137021427939081,
      "deflection": 0.008716205240686378,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_3047",
      "improvement_over_parent": null
    },
    "node_3049": {
      "node_id": "node_3049",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.54474425513945,
      "fos_buckling": 1.5256480369195735,
      "fos_yielding": 4.598372038797815,
      "deflection": 0.006971545272144394,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_3048",
      "improvement_over_parent": null
    },
    "node_3050": {
      "node_id": "node_3050",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3049",
      "improvement_over_parent": null
    },
    "node_3051": {
      "node_id": "node_3051",
      "content": "INITIAL DESIGN (Trace 443)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 132.81 kg\n  Factor of Safety: 0.69\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": 132.809904176875,
      "fos_buckling": 0.6907735763076376,
      "fos_yielding": 3.023732869979309,
      "deflection": 0.013299941120195382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3052": {
      "node_id": "node_3052",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n\nPerformance:\n  Mass: 149.65 kg\n  Factor of Safety: 1.07\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.64927503468323,
      "fos_buckling": 1.0745182946900764,
      "fos_yielding": 3.034926183963556,
      "deflection": 0.010507769874700007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004579)"
      },
      "parent_node_id": "node_3051",
      "improvement_over_parent": null
    },
    "node_3053": {
      "node_id": "node_3053",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n\nPerformance:\n  Mass: 191.55 kg\n  Factor of Safety: 1.33\n  Max Deflection: 8.25e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.54806313288498,
      "fos_buckling": 1.3261287492353497,
      "fos_yielding": 3.8791296833244906,
      "deflection": 0.008248251311408274,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_3052",
      "improvement_over_parent": null
    },
    "node_3054": {
      "node_id": "node_3054",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.82 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.82038802904168,
      "fos_buckling": 1.5269981968984592,
      "fos_yielding": 4.60803420081092,
      "deflection": 0.0069633438093652114,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_3053",
      "improvement_over_parent": null
    },
    "node_3055": {
      "node_id": "node_3055",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 444)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n\nPerformance:\n  Mass: 144.40 kg\n  Factor of Safety: 0.78\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": 144.40406890104225,
      "fos_buckling": 0.7775576207390807,
      "fos_yielding": 3.4046808334111267,
      "deflection": 0.012206375337875755,
      "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 9 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n  Mass: 152.21 kg\n  Factor of Safety: 0.78\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": 152.20578961199303,
      "fos_buckling": 0.7767585987245214,
      "fos_yielding": 3.4626245724424356,
      "deflection": 0.01163277913127831,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.493)"
      },
      "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 (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n  Mass: 169.27 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.2741660444516,
      "fos_buckling": 0.8494216259941314,
      "fos_yielding": 3.8485392652528168,
      "deflection": 0.010481469434991097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_3057",
      "improvement_over_parent": null
    },
    "node_3059": {
      "node_id": "node_3059",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n\nPerformance:\n  Mass: 202.25 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.2531148392401,
      "fos_buckling": 0.981778844996222,
      "fos_yielding": 4.5928389207662494,
      "deflection": 0.008807402669102196,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_3058",
      "improvement_over_parent": null
    },
    "node_3060": {
      "node_id": "node_3060",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.87 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.8696437485347,
      "fos_buckling": 1.5278548845441389,
      "fos_yielding": 4.609247947618475,
      "deflection": 0.006961551107706295,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_3059",
      "improvement_over_parent": null
    },
    "node_3061": {
      "node_id": "node_3061",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3060",
      "improvement_over_parent": null
    },
    "node_3062": {
      "node_id": "node_3062",
      "content": "INITIAL DESIGN (Trace 445)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 133.78 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.77628429840843,
      "fos_buckling": 0.6970135404844994,
      "fos_yielding": 3.0584831821412393,
      "deflection": 0.013199435164889426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3063": {
      "node_id": "node_3063",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 153.28 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.28211694515838,
      "fos_buckling": 0.7835373225891569,
      "fos_yielding": 3.501820301595393,
      "deflection": 0.011546797211593985,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_3062",
      "improvement_over_parent": null
    },
    "node_3064": {
      "node_id": "node_3064",
      "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 153.73 kg\n  Factor of Safety: 0.78\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": 153.7323611849662,
      "fos_buckling": 0.783444406827603,
      "fos_yielding": 3.4974366702173834,
      "deflection": 0.011519080511056802,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.353)"
      },
      "parent_node_id": "node_3063",
      "improvement_over_parent": null
    },
    "node_3065": {
      "node_id": "node_3065",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 182.88 kg\n  Factor of Safety: 0.91\n  Max Deflection: 9.72e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.87797951006237,
      "fos_buckling": 0.9053756010842477,
      "fos_yielding": 4.156101883510067,
      "deflection": 0.009717492142329209,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_3064",
      "improvement_over_parent": null
    },
    "node_3066": {
      "node_id": "node_3066",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0065)]\n\nPerformance:\n  Mass: 206.09 kg\n  Factor of Safety: 1.41\n  Max Deflection: 7.68e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.08829792540666,
      "fos_buckling": 1.408379122138394,
      "fos_yielding": 4.17110660284852,
      "deflection": 0.007679211105721058,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006460)"
      },
      "parent_node_id": "node_3065",
      "improvement_over_parent": null
    },
    "node_3067": {
      "node_id": "node_3067",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.47 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.46803389894743,
      "fos_buckling": 1.5249664989228702,
      "fos_yielding": 4.600494285364211,
      "deflection": 0.006974164889552483,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_3066",
      "improvement_over_parent": null
    },
    "node_3068": {
      "node_id": "node_3068",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3067",
      "improvement_over_parent": null
    },
    "node_3069": {
      "node_id": "node_3069",
      "content": "INITIAL DESIGN (Trace 446)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n\nPerformance:\n  Mass: 152.10 kg\n  Factor of Safety: 0.52\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": 152.10490391006329,
      "fos_buckling": 0.5166999322856444,
      "fos_yielding": 3.2569547258005276,
      "deflection": 0.016544290329545214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3070": {
      "node_id": "node_3070",
      "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n  Mass: 158.60 kg\n  Factor of Safety: 0.52\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": 158.60277432380832,
      "fos_buckling": 0.5162580407674442,
      "fos_yielding": 3.254873256195962,
      "deflection": 0.014660461425708515,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.477)"
      },
      "parent_node_id": "node_3069",
      "improvement_over_parent": null
    },
    "node_3071": {
      "node_id": "node_3071",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 186.26 kg\n  Factor of Safety: 1.33\n  Max Deflection: 8.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.25815571644165,
      "fos_buckling": 1.326868879092858,
      "fos_yielding": 3.891322264437279,
      "deflection": 0.008579182660178212,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006764)"
      },
      "parent_node_id": "node_3070",
      "improvement_over_parent": null
    },
    "node_3072": {
      "node_id": "node_3072",
      "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n  Mass: 192.04 kg\n  Factor of Safety: 1.33\n  Max Deflection: 8.23e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.0421578530874,
      "fos_buckling": 1.3290054972489513,
      "fos_yielding": 3.889211171231038,
      "deflection": 0.008227462454009307,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.351)"
      },
      "parent_node_id": "node_3071",
      "improvement_over_parent": null
    },
    "node_3073": {
      "node_id": "node_3073",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.53789580608634,
      "fos_buckling": 1.525528983728606,
      "fos_yielding": 4.60252821719085,
      "deflection": 0.006971747028350688,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_3072",
      "improvement_over_parent": null
    },
    "node_3074": {
      "node_id": "node_3074",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3073",
      "improvement_over_parent": null
    },
    "node_3075": {
      "node_id": "node_3075",
      "content": "INITIAL DESIGN (Trace 447)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 129.37 kg\n  Factor of Safety: 0.09\n  Max Deflection: 2.79e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.37323478439805,
      "fos_buckling": 0.09302101859638373,
      "fos_yielding": 0.22842970877636903,
      "deflection": 278886196603618.9,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3076": {
      "node_id": "node_3076",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n  Mass: 145.29 kg\n  Factor of Safety: 0.73\n  Max Deflection: 3.70e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.29213411314865,
      "fos_buckling": 0.7315844439199876,
      "fos_yielding": 2.9172469792241027,
      "deflection": 36977844037431.18,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_3075",
      "improvement_over_parent": null
    },
    "node_3077": {
      "node_id": "node_3077",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 163.23 kg\n  Factor of Safety: 1.25\n  Max Deflection: 2.06e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.22569346502584,
      "fos_buckling": 1.2537224743030575,
      "fos_yielding": 5.152174182889817,
      "deflection": 20554477850145.293,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_3076",
      "improvement_over_parent": null
    },
    "node_3078": {
      "node_id": "node_3078",
      "content": "MODIFICATION: Increase 8 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 173.19 kg\n  Factor of Safety: 0.31\n  Max Deflection: 2.32e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.18650885605513,
      "fos_buckling": 0.31009798398380595,
      "fos_yielding": 1.8274376702109523,
      "deflection": 23193852183950.074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.479)"
      },
      "parent_node_id": "node_3077",
      "improvement_over_parent": null
    },
    "node_3079": {
      "node_id": "node_3079",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 195.28 kg\n  Factor of Safety: 0.62\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": 195.27765698471543,
      "fos_buckling": 0.6161095602822719,
      "fos_yielding": 4.262828361427225,
      "deflection": 0.01189900815370822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_3078",
      "improvement_over_parent": null
    },
    "node_3080": {
      "node_id": "node_3080",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.67127662483372,
      "fos_buckling": 1.5258659977441165,
      "fos_yielding": 4.605626488294542,
      "deflection": 0.006967841036229764,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_3079",
      "improvement_over_parent": null
    },
    "node_3081": {
      "node_id": "node_3081",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3080",
      "improvement_over_parent": null
    },
    "node_3082": {
      "node_id": "node_3082",
      "content": "INITIAL DESIGN (Trace 448)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0032)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0028)]\n\nPerformance:\n  Mass: 105.83 kg\n  Factor of Safety: 0.46\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": 105.82954154834088,
      "fos_buckling": 0.4628170845949941,
      "fos_yielding": 2.5751142001448684,
      "deflection": 0.01789229356710901,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3083": {
      "node_id": "node_3083",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n\nPerformance:\n  Mass: 125.78 kg\n  Factor of Safety: 0.54\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": 125.77644791305057,
      "fos_buckling": 0.542481026369169,
      "fos_yielding": 3.0562649245513853,
      "deflection": 0.015080621796326766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_3082",
      "improvement_over_parent": null
    },
    "node_3084": {
      "node_id": "node_3084",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n  Mass: 142.67 kg\n  Factor of Safety: 0.61\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": 142.66622693706998,
      "fos_buckling": 0.6080742529591364,
      "fos_yielding": 3.462577016405611,
      "deflection": 0.013314336745005834,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_3083",
      "improvement_over_parent": null
    },
    "node_3085": {
      "node_id": "node_3085",
      "content": "MODIFICATION: Increase 9 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 151.52 kg\n  Factor of Safety: 0.61\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": 151.51618944712317,
      "fos_buckling": 0.6073653622992466,
      "fos_yielding": 3.530741669792366,
      "deflection": 0.01266495158732205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.580)"
      },
      "parent_node_id": "node_3084",
      "improvement_over_parent": null
    },
    "node_3086": {
      "node_id": "node_3086",
      "content": "MODIFICATION: Increase 6 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 157.91 kg\n  Factor of Safety: 0.79\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": 157.9113868185372,
      "fos_buckling": 0.7896701405396651,
      "fos_yielding": 3.530380267715597,
      "deflection": 0.011414065443413954,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.370)"
      },
      "parent_node_id": "node_3085",
      "improvement_over_parent": null
    },
    "node_3087": {
      "node_id": "node_3087",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.67 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.67398369255687,
      "fos_buckling": 0.9811740169037991,
      "fos_yielding": 4.5902225947491075,
      "deflection": 0.008813925174983958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_3086",
      "improvement_over_parent": null
    },
    "node_3088": {
      "node_id": "node_3088",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.76513182121718,
      "fos_buckling": 1.5264395104228412,
      "fos_yielding": 4.607222989971342,
      "deflection": 0.006964905306471713,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_3087",
      "improvement_over_parent": null
    },
    "node_3089": {
      "node_id": "node_3089",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3088",
      "improvement_over_parent": null
    },
    "node_3090": {
      "node_id": "node_3090",
      "content": "INITIAL DESIGN (Trace 449)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3091": {
      "node_id": "node_3091",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n  Mass: 169.29 kg\n  Factor of Safety: 0.67\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": 169.29408363072451,
      "fos_buckling": 0.6716617777394178,
      "fos_yielding": 2.9992765066450486,
      "deflection": 0.013036356584433256,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006332)"
      },
      "parent_node_id": "node_3090",
      "improvement_over_parent": null
    },
    "node_3092": {
      "node_id": "node_3092",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n  Mass: 192.29 kg\n  Factor of Safety: 0.73\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": 192.2862472606557,
      "fos_buckling": 0.7250289376555883,
      "fos_yielding": 3.070806203809106,
      "deflection": 0.012938690560100427,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006394)"
      },
      "parent_node_id": "node_3091",
      "improvement_over_parent": null
    },
    "node_3093": {
      "node_id": "node_3093",
      "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n  Mass: 200.64 kg\n  Factor of Safety: 0.91\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": 200.64175573598297,
      "fos_buckling": 0.9095969759473765,
      "fos_yielding": 3.0279707720494327,
      "deflection": 0.011788221778427574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.437)"
      },
      "parent_node_id": "node_3092",
      "improvement_over_parent": null
    },
    "node_3094": {
      "node_id": "node_3094",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 223.48 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.47798422985582,
      "fos_buckling": 0.9934577316765564,
      "fos_yielding": 3.382124649213963,
      "deflection": 0.010599865336326916,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_3093",
      "improvement_over_parent": null
    },
    "node_3095": {
      "node_id": "node_3095",
      "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 225.20 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.20160289196997,
      "fos_buckling": 0.9999303069297393,
      "fos_yielding": 5.1209909860440685,
      "deflection": 0.010600750528041712,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.572)"
      },
      "parent_node_id": "node_3094",
      "improvement_over_parent": null
    },
    "node_3096": {
      "node_id": "node_3096",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.58628520355612,
      "fos_buckling": 1.525644624269629,
      "fos_yielding": 4.602509931117186,
      "deflection": 0.006970246724357153,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_3095",
      "improvement_over_parent": null
    },
    "node_3097": {
      "node_id": "node_3097",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3096",
      "improvement_over_parent": null
    },
    "node_3098": {
      "node_id": "node_3098",
      "content": "INITIAL DESIGN (Trace 450)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n  Mass: 96.06 kg\n  Factor of Safety: 1.04\n  Max Deflection: 4.10e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 96.05764225406267,
      "fos_buckling": 1.043867384684195,
      "fos_yielding": 2.8308217639686566,
      "deflection": 41008225781758.35,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3099": {
      "node_id": "node_3099",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n\nPerformance:\n  Mass: 108.07 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.16e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 108.0700463158639,
      "fos_buckling": 0.35883974081480774,
      "fos_yielding": 2.1452268047998944,
      "deflection": 0.021594249253669918,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003627)"
      },
      "parent_node_id": "node_3098",
      "improvement_over_parent": null
    },
    "node_3100": {
      "node_id": "node_3100",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n\nPerformance:\n  Mass: 133.02 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.76e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.0180431354256,
      "fos_buckling": 0.4308670380079803,
      "fos_yielding": 2.637218044027917,
      "deflection": 0.017593098588251456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_3099",
      "improvement_over_parent": null
    },
    "node_3101": {
      "node_id": "node_3101",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n  Mass: 150.65 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.64648518543018,
      "fos_buckling": 0.47936371302022424,
      "fos_yielding": 2.9841365081283784,
      "deflection": 0.01556490451222392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_3100",
      "improvement_over_parent": null
    },
    "node_3102": {
      "node_id": "node_3102",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 194.97 kg\n  Factor of Safety: 0.59\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": 194.97466016400676,
      "fos_buckling": 0.5926328797052007,
      "fos_yielding": 3.853845488717784,
      "deflection": 0.012085476587423477,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_3101",
      "improvement_over_parent": null
    },
    "node_3103": {
      "node_id": "node_3103",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.75 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.75225490689226,
      "fos_buckling": 1.5261506309988886,
      "fos_yielding": 4.606971170515762,
      "deflection": 0.00696543673734862,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_3102",
      "improvement_over_parent": null
    },
    "node_3104": {
      "node_id": "node_3104",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 451)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n  Mass: 160.69 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.6911754515016,
      "fos_buckling": 0.5291270999122227,
      "fos_yielding": 2.257056999584664,
      "deflection": 0.01486334073192508,
      "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: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 193.63 kg\n  Factor of Safety: 0.62\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": 193.6329440216362,
      "fos_buckling": 0.6159805819586557,
      "fos_yielding": 2.731909154383125,
      "deflection": 0.012372249938055876,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_3105",
      "improvement_over_parent": null
    },
    "node_3107": {
      "node_id": "node_3107",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 226.03 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.0265636617545,
      "fos_buckling": 1.1486289874697346,
      "fos_yielding": 3.4673891053183667,
      "deflection": 0.007118141462134999,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_3106",
      "improvement_over_parent": null
    },
    "node_3108": {
      "node_id": "node_3108",
      "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.59366933721742,
      "fos_buckling": 1.5257654063963855,
      "fos_yielding": 4.603377293390456,
      "deflection": 0.006970161632228327,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.613)"
      },
      "parent_node_id": "node_3107",
      "improvement_over_parent": null
    },
    "node_3109": {
      "node_id": "node_3109",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3108",
      "improvement_over_parent": null
    },
    "node_3110": {
      "node_id": "node_3110",
      "content": "INITIAL DESIGN (Trace 452)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 164.85 kg\n  Factor of Safety: 0.90\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": 164.85155668151273,
      "fos_buckling": 0.8989051100386711,
      "fos_yielding": 4.572421530005747,
      "deflection": 0.014070754660879854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3111": {
      "node_id": "node_3111",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 184.33 kg\n  Factor of Safety: 0.98\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": 184.32807081434015,
      "fos_buckling": 0.9833694819188605,
      "fos_yielding": 5.103669007420093,
      "deflection": 0.012587686939418417,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_3110",
      "improvement_over_parent": null
    },
    "node_3112": {
      "node_id": "node_3112",
      "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 190.38 kg\n  Factor of Safety: 0.98\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": 190.38147624104033,
      "fos_buckling": 0.9825889185798095,
      "fos_yielding": 5.100990074548415,
      "deflection": 0.011598352861671676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.364)"
      },
      "parent_node_id": "node_3111",
      "improvement_over_parent": null
    },
    "node_3113": {
      "node_id": "node_3113",
      "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 194.64 kg\n  Factor of Safety: 0.98\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": 194.64270028751332,
      "fos_buckling": 0.982040192889022,
      "fos_yielding": 5.0991059570884145,
      "deflection": 0.0111567180608771,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.195)"
      },
      "parent_node_id": "node_3112",
      "improvement_over_parent": null
    },
    "node_3114": {
      "node_id": "node_3114",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 197.03 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.37e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.02738259909947,
      "fos_buckling": 0.9814267593966054,
      "fos_yielding": 4.587424851762494,
      "deflection": 0.009368692274880663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_3113",
      "improvement_over_parent": null
    },
    "node_3115": {
      "node_id": "node_3115",
      "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 202.00 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.00437549424456,
      "fos_buckling": 0.9807874374540626,
      "fos_yielding": 4.586993164207097,
      "deflection": 0.008817021525172788,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.238)"
      },
      "parent_node_id": "node_3114",
      "improvement_over_parent": null
    },
    "node_3116": {
      "node_id": "node_3116",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.62 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.62090440353916,
      "fos_buckling": 1.5256488845496547,
      "fos_yielding": 4.603379231872536,
      "deflection": 0.006969199869233568,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_3115",
      "improvement_over_parent": null
    },
    "node_3117": {
      "node_id": "node_3117",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3116",
      "improvement_over_parent": null
    },
    "node_3118": {
      "node_id": "node_3118",
      "content": "INITIAL DESIGN (Trace 453)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 190.00 kg\n  Factor of Safety: 1.27\n  Max Deflection: 8.30e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.99767840659203,
      "fos_buckling": 1.2705861915632222,
      "fos_yielding": 4.006987816507499,
      "deflection": 0.0083046737691272,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3119": {
      "node_id": "node_3119",
      "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 197.29 kg\n  Factor of Safety: 1.35\n  Max Deflection: 8.06e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.28650508565056,
      "fos_buckling": 1.3501389500853298,
      "fos_yielding": 4.008717341058378,
      "deflection": 0.008064423674262257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.527)"
      },
      "parent_node_id": "node_3118",
      "improvement_over_parent": null
    },
    "node_3120": {
      "node_id": "node_3120",
      "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 197.66 kg\n  Factor of Safety: 1.36\n  Max Deflection: 8.00e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.6637373327469,
      "fos_buckling": 1.3611102753185935,
      "fos_yielding": 4.002205259241637,
      "deflection": 0.007998517950881072,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.241)"
      },
      "parent_node_id": "node_3119",
      "improvement_over_parent": null
    },
    "node_3121": {
      "node_id": "node_3121",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.71 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.71000708274946,
      "fos_buckling": 1.5264291488066275,
      "fos_yielding": 4.605879557578838,
      "deflection": 0.006966598374843827,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_3120",
      "improvement_over_parent": null
    },
    "node_3122": {
      "node_id": "node_3122",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3121",
      "improvement_over_parent": null
    },
    "node_3123": {
      "node_id": "node_3123",
      "content": "INITIAL DESIGN (Trace 454)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 100.78 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.95e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 100.77526864113216,
      "fos_buckling": 0.2727089432365272,
      "fos_yielding": 2.2428076447254828,
      "deflection": 89548779701520.03,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3124": {
      "node_id": "node_3124",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n\nPerformance:\n  Mass: 102.19 kg\n  Factor of Safety: 0.02\n  Max Deflection: 5.50e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 102.19476156011862,
      "fos_buckling": 0.020820335868043327,
      "fos_yielding": 0.28035095559068535,
      "deflection": 549531229004240.1,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002170)"
      },
      "parent_node_id": "node_3123",
      "improvement_over_parent": null
    },
    "node_3125": {
      "node_id": "node_3125",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n\nPerformance:\n  Mass: 127.19 kg\n  Factor of Safety: 0.65\n  Max Deflection: 9.35e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.19197518204861,
      "fos_buckling": 0.6492286216552559,
      "fos_yielding": 2.73650417442544,
      "deflection": 9349997347540.672,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, 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 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n  Mass: 147.20 kg\n  Factor of Safety: 1.12\n  Max Deflection: 6.08e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.20439296637463,
      "fos_buckling": 1.1176930215672722,
      "fos_yielding": 2.919706086769482,
      "deflection": 60825156091960.52,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_3125",
      "improvement_over_parent": null
    },
    "node_3127": {
      "node_id": "node_3127",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n\nPerformance:\n  Mass: 174.95 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.94866448700523,
      "fos_buckling": 0.8646902398675456,
      "fos_yielding": 2.839214104124242,
      "deflection": 0.010401710868007282,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006834)"
      },
      "parent_node_id": "node_3126",
      "improvement_over_parent": null
    },
    "node_3128": {
      "node_id": "node_3128",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 204.42 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.93e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.42424354305166,
      "fos_buckling": 0.9810023993981323,
      "fos_yielding": 3.328266327255004,
      "deflection": 0.008932094336781663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_3127",
      "improvement_over_parent": null
    },
    "node_3129": {
      "node_id": "node_3129",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 226.52 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.08e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.51539167171197,
      "fos_buckling": 1.2558477578093032,
      "fos_yielding": 3.340631287489403,
      "deflection": 0.007078232249453518,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_3128",
      "improvement_over_parent": null
    },
    "node_3130": {
      "node_id": "node_3130",
      "content": "MODIFICATION: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0102)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 235.90 kg\n  Factor of Safety: 1.24\n  Max Deflection: 6.95e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.9032962864524,
      "fos_buckling": 1.2448515808488896,
      "fos_yielding": 3.3113807891162508,
      "deflection": 0.006950551924802449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.429)"
      },
      "parent_node_id": "node_3129",
      "improvement_over_parent": null
    },
    "node_3131": {
      "node_id": "node_3131",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3130",
      "improvement_over_parent": null
    },
    "node_3132": {
      "node_id": "node_3132",
      "content": "INITIAL DESIGN (Trace 455)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n  Mass: 106.86 kg\n  Factor of Safety: 0.33\n  Max Deflection: 3.34e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 106.857720453616,
      "fos_buckling": 0.32749908125675325,
      "fos_yielding": 1.8274376702109523,
      "deflection": 33429737111308.094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3133": {
      "node_id": "node_3133",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n  Mass: 107.51 kg\n  Factor of Safety: 0.33\n  Max Deflection: 3.34e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.50955806208427,
      "fos_buckling": 0.32749908125675325,
      "fos_yielding": 1.8274376702109523,
      "deflection": 33429737111308.094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.238)"
      },
      "parent_node_id": "node_3132",
      "improvement_over_parent": null
    },
    "node_3134": {
      "node_id": "node_3134",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n\nPerformance:\n  Mass: 134.18 kg\n  Factor of Safety: 0.51\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": 134.18074259431296,
      "fos_buckling": 0.5072141406281389,
      "fos_yielding": 3.1799219600680146,
      "deflection": 0.01801177497616293,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006549)"
      },
      "parent_node_id": "node_3133",
      "improvement_over_parent": null
    },
    "node_3135": {
      "node_id": "node_3135",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 163.11 kg\n  Factor of Safety: 0.59\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": 163.11035824939677,
      "fos_buckling": 0.5949942317468955,
      "fos_yielding": 3.8577294698081053,
      "deflection": 0.014852583337519792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_3134",
      "improvement_over_parent": null
    },
    "node_3136": {
      "node_id": "node_3136",
      "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0107)]\n\nPerformance:\n  Mass: 172.46 kg\n  Factor of Safety: 0.59\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": 172.455001577098,
      "fos_buckling": 0.5942636392406073,
      "fos_yielding": 3.856548284179134,
      "deflection": 0.014241622237271497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.328)"
      },
      "parent_node_id": "node_3135",
      "improvement_over_parent": null
    },
    "node_3137": {
      "node_id": "node_3137",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0107)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.23 kg\n  Factor of Safety: 1.20\n  Max Deflection: 8.35e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.2325963199835,
      "fos_buckling": 1.1979051452973681,
      "fos_yielding": 4.631461280302988,
      "deflection": 0.008345557375726788,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_3136",
      "improvement_over_parent": null
    },
    "node_3138": {
      "node_id": "node_3138",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0107)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 230.85 kg\n  Factor of Safety: 1.46\n  Max Deflection: 6.90e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.8491252292781,
      "fos_buckling": 1.4601301231869852,
      "fos_yielding": 4.647951521946413,
      "deflection": 0.0068952453957056275,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_3137",
      "improvement_over_parent": null
    },
    "node_3139": {
      "node_id": "node_3139",
      "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0107)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 231.23 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.85e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.23030974778464,
      "fos_buckling": 1.4683248916869838,
      "fos_yielding": 4.642435098897107,
      "deflection": 0.006853765455897899,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.209)"
      },
      "parent_node_id": "node_3138",
      "improvement_over_parent": null
    },
    "node_3140": {
      "node_id": "node_3140",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3139",
      "improvement_over_parent": null
    },
    "node_3141": {
      "node_id": "node_3141",
      "content": "INITIAL DESIGN (Trace 456)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 174.11 kg\n  Factor of Safety: 0.88\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": 174.1096448108172,
      "fos_buckling": 0.8846380687779045,
      "fos_yielding": 4.400713309195577,
      "deflection": 0.012337337050004882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3142": {
      "node_id": "node_3142",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n  Mass: 176.15 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.1489529504364,
      "fos_buckling": 0.8841642769850341,
      "fos_yielding": 4.400713309195579,
      "deflection": 0.010153240658392597,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003193)"
      },
      "parent_node_id": "node_3141",
      "improvement_over_parent": null
    },
    "node_3143": {
      "node_id": "node_3143",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 205.98 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.97591543487857,
      "fos_buckling": 1.00376921656764,
      "fos_yielding": 5.1439135423324585,
      "deflection": 0.008714317484907436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_3142",
      "improvement_over_parent": null
    },
    "node_3144": {
      "node_id": "node_3144",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63521171172601,
      "fos_buckling": 1.5259906763696747,
      "fos_yielding": 4.604340220541416,
      "deflection": 0.006968880204134674,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_3143",
      "improvement_over_parent": null
    },
    "node_3145": {
      "node_id": "node_3145",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3144",
      "improvement_over_parent": null
    },
    "node_3146": {
      "node_id": "node_3146",
      "content": "INITIAL DESIGN (Trace 457)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 120.86 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.46e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.8633769837539,
      "fos_buckling": 0.7633085543906808,
      "fos_yielding": 2.08528728377279,
      "deflection": 145937455531825.0,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3147": {
      "node_id": "node_3147",
      "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 125.53 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.61e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.52777826277091,
      "fos_buckling": 0.6343637199847925,
      "fos_yielding": 3.6548753404219045,
      "deflection": 16149628642921.234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.285)"
      },
      "parent_node_id": "node_3146",
      "improvement_over_parent": null
    },
    "node_3148": {
      "node_id": "node_3148",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 143.77 kg\n  Factor of Safety: 1.17\n  Max Deflection: 6.65e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.77066002550185,
      "fos_buckling": 1.1742011665099161,
      "fos_yielding": 4.292838945749437,
      "deflection": 66476084162797.75,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_3147",
      "improvement_over_parent": null
    },
    "node_3149": {
      "node_id": "node_3149",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 165.43 kg\n  Factor of Safety: 0.59\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": 165.4299563023493,
      "fos_buckling": 0.5946436277642732,
      "fos_yielding": 3.855543964445459,
      "deflection": 0.013684176925787387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_3148",
      "improvement_over_parent": null
    },
    "node_3150": {
      "node_id": "node_3150",
      "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 172.77 kg\n  Factor of Safety: 0.59\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": 172.7680094396478,
      "fos_buckling": 0.5940703071836043,
      "fos_yielding": 3.8546173140391238,
      "deflection": 0.01369578618948358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.385)"
      },
      "parent_node_id": "node_3149",
      "improvement_over_parent": null
    },
    "node_3151": {
      "node_id": "node_3151",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 194.86 kg\n  Factor of Safety: 0.59\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": 194.85915756830812,
      "fos_buckling": 0.5923509848166377,
      "fos_yielding": 3.8518303276705077,
      "deflection": 0.012091949636185309,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_3150",
      "improvement_over_parent": null
    },
    "node_3152": {
      "node_id": "node_3152",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63675231119362,
      "fos_buckling": 1.5260952386780349,
      "fos_yielding": 4.604600073677171,
      "deflection": 0.006968864199134386,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_3151",
      "improvement_over_parent": null
    },
    "node_3153": {
      "node_id": "node_3153",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3152",
      "improvement_over_parent": null
    },
    "node_3154": {
      "node_id": "node_3154",
      "content": "INITIAL DESIGN (Trace 458)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 215.25 kg\n  Factor of Safety: 1.20\n  Max Deflection: 7.42e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.24605605262624,
      "fos_buckling": 1.1971343516132895,
      "fos_yielding": 3.6378964384398587,
      "deflection": 0.007418952706342528,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3155": {
      "node_id": "node_3155",
      "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 216.64 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.29e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.64243286186237,
      "fos_buckling": 1.397577276250715,
      "fos_yielding": 4.650329600442924,
      "deflection": 0.0072863837269495565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.515)"
      },
      "parent_node_id": "node_3154",
      "improvement_over_parent": null
    },
    "node_3156": {
      "node_id": "node_3156",
      "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 221.23 kg\n  Factor of Safety: 1.46\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.22537227190153,
      "fos_buckling": 1.4601026979233513,
      "fos_yielding": 4.648958897838394,
      "deflection": 0.007118788110103756,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.181)"
      },
      "parent_node_id": "node_3155",
      "improvement_over_parent": null
    },
    "node_3157": {
      "node_id": "node_3157",
      "content": "MODIFICATION: Increase 9 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63670664382337,
      "fos_buckling": 1.5260279154061,
      "fos_yielding": 4.604167053289284,
      "deflection": 0.006968959082296957,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.376)"
      },
      "parent_node_id": "node_3156",
      "improvement_over_parent": null
    },
    "node_3158": {
      "node_id": "node_3158",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3157",
      "improvement_over_parent": null
    },
    "node_3159": {
      "node_id": "node_3159",
      "content": "INITIAL DESIGN (Trace 459)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3160": {
      "node_id": "node_3160",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 140.80 kg\n  Factor of Safety: 0.31\n  Max Deflection: 1.77e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.80049074458694,
      "fos_buckling": 0.3101167661292856,
      "fos_yielding": 1.827437670210952,
      "deflection": 17736093320321.87,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_3159",
      "improvement_over_parent": null
    },
    "node_3161": {
      "node_id": "node_3161",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 173.19 kg\n  Factor of Safety: 0.26\n  Max Deflection: 8.55e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.19411038470523,
      "fos_buckling": 0.2607971742688909,
      "fos_yielding": 2.2681550017861345,
      "deflection": 85502999906965.12,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_3160",
      "improvement_over_parent": null
    },
    "node_3162": {
      "node_id": "node_3162",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 205.97 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.97170512759072,
      "fos_buckling": 1.003752157134665,
      "fos_yielding": 5.14377061825193,
      "deflection": 0.008714530512475413,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_3161",
      "improvement_over_parent": null
    },
    "node_3163": {
      "node_id": "node_3163",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63100140443817,
      "fos_buckling": 1.5259838614863448,
      "fos_yielding": 4.604201199747177,
      "deflection": 0.006969010689685595,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_3162",
      "improvement_over_parent": null
    },
    "node_3164": {
      "node_id": "node_3164",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3163",
      "improvement_over_parent": null
    },
    "node_3165": {
      "node_id": "node_3165",
      "content": "INITIAL DESIGN (Trace 460)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n\nPerformance:\n  Mass: 148.19 kg\n  Factor of Safety: 1.24\n  Max Deflection: 3.70e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.19406695223395,
      "fos_buckling": 1.2432803475565681,
      "fos_yielding": 3.6874684447836907,
      "deflection": 37021461391426.445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3166": {
      "node_id": "node_3166",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 166.41 kg\n  Factor of Safety: 0.42\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": 166.410245630556,
      "fos_buckling": 0.4173445970074628,
      "fos_yielding": 4.149398058510613,
      "deflection": 14417547738947.426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_3165",
      "improvement_over_parent": null
    },
    "node_3167": {
      "node_id": "node_3167",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 199.19 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.1878403734415,
      "fos_buckling": 1.0031449310677711,
      "fos_yielding": 4.149398058510613,
      "deflection": 0.010597691464314999,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)"
      },
      "parent_node_id": "node_3166",
      "improvement_over_parent": null
    },
    "node_3168": {
      "node_id": "node_3168",
      "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 200.16 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.16296075576952,
      "fos_buckling": 1.0031449310677711,
      "fos_yielding": 5.146640855221252,
      "deflection": 0.010597691464314999,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.264)"
      },
      "parent_node_id": "node_3167",
      "improvement_over_parent": null
    },
    "node_3169": {
      "node_id": "node_3169",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 225.28 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.28225573327046,
      "fos_buckling": 0.9998494765877763,
      "fos_yielding": 5.1242384397682095,
      "deflection": 0.01059789270052778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_3168",
      "improvement_over_parent": null
    },
    "node_3170": {
      "node_id": "node_3170",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 227.67 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6669380448566,
      "fos_buckling": 1.526005223087435,
      "fos_yielding": 4.605358435541148,
      "deflection": 0.006967952960769352,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_3169",
      "improvement_over_parent": null
    },
    "node_3171": {
      "node_id": "node_3171",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3170",
      "improvement_over_parent": null
    },
    "node_3172": {
      "node_id": "node_3172",
      "content": "INITIAL DESIGN (Trace 461)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n\nPerformance:\n  Mass: 76.67 kg\n  Factor of Safety: 0.30\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": 76.67372664352143,
      "fos_buckling": 0.3040991978904399,
      "fos_yielding": 1.896037392100576,
      "deflection": 0.03001866653345559,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3173": {
      "node_id": "node_3173",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0029)]\n\nPerformance:\n  Mass: 86.24 kg\n  Factor of Safety: 0.30\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": 86.24200933635689,
      "fos_buckling": 0.30371269860179984,
      "fos_yielding": 1.8952764948288627,
      "deflection": 0.026615258415757844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.002861)"
      },
      "parent_node_id": "node_3172",
      "improvement_over_parent": null
    },
    "node_3174": {
      "node_id": "node_3174",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n\nPerformance:\n  Mass: 111.79 kg\n  Factor of Safety: 0.38\n  Max Deflection: 2.06e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 111.78922892863592,
      "fos_buckling": 0.38398467247946527,
      "fos_yielding": 2.4527731118368488,
      "deflection": 0.020592073369732795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_3173",
      "improvement_over_parent": null
    },
    "node_3175": {
      "node_id": "node_3175",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n\nPerformance:\n  Mass: 131.08 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.76e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.0839703024003,
      "fos_buckling": 0.44172229704682764,
      "fos_yielding": 2.8726443489546494,
      "deflection": 0.017599182999307145,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_3174",
      "improvement_over_parent": null
    },
    "node_3176": {
      "node_id": "node_3176",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n  Mass: 151.03 kg\n  Factor of Safety: 0.50\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": 151.02582439646758,
      "fos_buckling": 0.4988057080629296,
      "fos_yielding": 3.305532274452383,
      "deflection": 0.015309548658156957,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_3175",
      "improvement_over_parent": null
    },
    "node_3177": {
      "node_id": "node_3177",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n\nPerformance:\n  Mass: 176.06 kg\n  Factor of Safety: 1.24\n  Max Deflection: 8.96e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.0603219069325,
      "fos_buckling": 1.2357108233377445,
      "fos_yielding": 3.567809831134536,
      "deflection": 0.008958323042045984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006118)"
      },
      "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 (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.86 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.8641919588017,
      "fos_buckling": 1.527378257011951,
      "fos_yielding": 4.6094895814078845,
      "deflection": 0.0069621458776626425,
      "is_feasible": true,
      "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: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3178",
      "improvement_over_parent": null
    },
    "node_3180": {
      "node_id": "node_3180",
      "content": "INITIAL DESIGN (Trace 462)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0036)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0032)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0026)]\n\nPerformance:\n  Mass: 102.65 kg\n  Factor of Safety: 0.63\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": 102.64966075070438,
      "fos_buckling": 0.6341950131557401,
      "fos_yielding": 2.1406467873550175,
      "deflection": 0.015460729496900793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3181": {
      "node_id": "node_3181",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0032)]\n\nPerformance:\n  Mass: 125.46 kg\n  Factor of Safety: 0.76\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": 125.46126603386051,
      "fos_buckling": 0.7649515247305029,
      "fos_yielding": 2.6137999477893685,
      "deflection": 0.01267992882442538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.233)"
      },
      "parent_node_id": "node_3180",
      "improvement_over_parent": null
    },
    "node_3182": {
      "node_id": "node_3182",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n  Mass: 149.03 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.0318744196927,
      "fos_buckling": 0.8961905833464135,
      "fos_yielding": 3.10170566038815,
      "deflection": 0.01070077880159088,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_3181",
      "improvement_over_parent": null
    },
    "node_3183": {
      "node_id": "node_3183",
      "content": "MODIFICATION: Increase 10 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 155.21 kg\n  Factor of Safety: 1.11\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.2129634634171,
      "fos_buckling": 1.108565726505871,
      "fos_yielding": 3.1474453945772756,
      "deflection": 0.01013766729103622,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.406)"
      },
      "parent_node_id": "node_3182",
      "improvement_over_parent": null
    },
    "node_3184": {
      "node_id": "node_3184",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 180.37 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.75e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.3702230012479,
      "fos_buckling": 1.260435527792158,
      "fos_yielding": 3.65446725338918,
      "deflection": 0.008748528957559405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_3183",
      "improvement_over_parent": null
    },
    "node_3185": {
      "node_id": "node_3185",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.85 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.84785429662313,
      "fos_buckling": 1.5264490403662778,
      "fos_yielding": 4.608980305272477,
      "deflection": 0.006962640656839699,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_3184",
      "improvement_over_parent": null
    },
    "node_3186": {
      "node_id": "node_3186",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3185",
      "improvement_over_parent": null
    },
    "node_3187": {
      "node_id": "node_3187",
      "content": "INITIAL DESIGN (Trace 463)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 152.32 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.3162741171526,
      "fos_buckling": 0.8921243325528337,
      "fos_yielding": 3.176021115655882,
      "deflection": 0.010649338551422848,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3188": {
      "node_id": "node_3188",
      "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 152.88 kg\n  Factor of Safety: 1.13\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.88457810039978,
      "fos_buckling": 1.1259883408543339,
      "fos_yielding": 3.1643928568402977,
      "deflection": 0.01043727393498244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.555)"
      },
      "parent_node_id": "node_3187",
      "improvement_over_parent": null
    },
    "node_3189": {
      "node_id": "node_3189",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 171.88 kg\n  Factor of Safety: 1.24\n  Max Deflection: 9.30e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.88358366947466,
      "fos_buckling": 1.2443360662049505,
      "fos_yielding": 3.5548361324968947,
      "deflection": 0.009302085209385625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_3188",
      "improvement_over_parent": null
    },
    "node_3190": {
      "node_id": "node_3190",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 196.65 kg\n  Factor of Safety: 1.39\n  Max Deflection: 8.15e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.6470825638283,
      "fos_buckling": 1.3916056795306802,
      "fos_yielding": 4.0627998678345465,
      "deflection": 0.008151687287821134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_3189",
      "improvement_over_parent": null
    },
    "node_3191": {
      "node_id": "node_3191",
      "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 203.21 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.79e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.20524340649857,
      "fos_buckling": 1.392468682252362,
      "fos_yielding": 4.113644358740468,
      "deflection": 0.007785388872522621,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.381)"
      },
      "parent_node_id": "node_3190",
      "improvement_over_parent": null
    },
    "node_3192": {
      "node_id": "node_3192",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n\nPerformance:\n  Mass: 227.98 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.9811718368436,
      "fos_buckling": 1.527939030939892,
      "fos_yielding": 4.611332557378054,
      "deflection": 0.006958648152568449,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_3191",
      "improvement_over_parent": null
    },
    "node_3193": {
      "node_id": "node_3193",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3192",
      "improvement_over_parent": null
    },
    "node_3194": {
      "node_id": "node_3194",
      "content": "INITIAL DESIGN (Trace 464)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 131.43 kg\n  Factor of Safety: 1.46\n  Max Deflection: 5.26e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.43050453726232,
      "fos_buckling": 1.456724499263353,
      "fos_yielding": 3.900029782695633,
      "deflection": 52638032067703.28,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3195": {
      "node_id": "node_3195",
      "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 132.65 kg\n  Factor of Safety: 1.84\n  Max Deflection: 5.26e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 132.6495673812444,
      "fos_buckling": 1.8418928350945636,
      "fos_yielding": 5.146776375360968,
      "deflection": 52638032067703.28,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.351)"
      },
      "parent_node_id": "node_3194",
      "improvement_over_parent": null
    },
    "node_3196": {
      "node_id": "node_3196",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 158.45 kg\n  Factor of Safety: 0.83\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": 158.45126986093774,
      "fos_buckling": 0.8255854783673647,
      "fos_yielding": 5.146776375360968,
      "deflection": 0.013203729085300167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006277)"
      },
      "parent_node_id": "node_3195",
      "improvement_over_parent": null
    },
    "node_3197": {
      "node_id": "node_3197",
      "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 165.73 kg\n  Factor of Safety: 0.82\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": 165.72661309442645,
      "fos_buckling": 0.8247955686384334,
      "fos_yielding": 5.146776375360968,
      "deflection": 0.011886163477421375,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.477)"
      },
      "parent_node_id": "node_3196",
      "improvement_over_parent": null
    },
    "node_3198": {
      "node_id": "node_3198",
      "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 172.71 kg\n  Factor of Safety: 0.98\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": 172.70715065875277,
      "fos_buckling": 0.9847174227402432,
      "fos_yielding": 5.146776375360968,
      "deflection": 0.011146278780478067,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.297)"
      },
      "parent_node_id": "node_3197",
      "improvement_over_parent": null
    },
    "node_3199": {
      "node_id": "node_3199",
      "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 176.88 kg\n  Factor of Safety: 0.98\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.87770170410008,
      "fos_buckling": 0.9841781225525906,
      "fos_yielding": 5.146776375360968,
      "deflection": 0.010702412407103843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.193)"
      },
      "parent_node_id": "node_3198",
      "improvement_over_parent": null
    },
    "node_3200": {
      "node_id": "node_3200",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 202.00 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.99699668160102,
      "fos_buckling": 0.9809423614953765,
      "fos_yielding": 4.5890985594111795,
      "deflection": 0.00881939853734348,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_3199",
      "improvement_over_parent": null
    },
    "node_3201": {
      "node_id": "node_3201",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.61352559089562,
      "fos_buckling": 1.5261586949376926,
      "fos_yielding": 4.605503118867008,
      "deflection": 0.006969617840472743,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_3200",
      "improvement_over_parent": null
    },
    "node_3202": {
      "node_id": "node_3202",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3201",
      "improvement_over_parent": null
    },
    "node_3203": {
      "node_id": "node_3203",
      "content": "INITIAL DESIGN (Trace 465)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3204": {
      "node_id": "node_3204",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 155.00 kg\n  Factor of Safety: 0.43\n  Max Deflection: 4.33e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.00475907282848,
      "fos_buckling": 0.42529770952694085,
      "fos_yielding": 3.433867506422341,
      "deflection": 0.04334443771608814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006419)"
      },
      "parent_node_id": "node_3203",
      "improvement_over_parent": null
    },
    "node_3205": {
      "node_id": "node_3205",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n  Mass: 156.92 kg\n  Factor of Safety: 0.52\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": 156.92179992787956,
      "fos_buckling": 0.5151820775450934,
      "fos_yielding": 3.4333177550763865,
      "deflection": 0.014743906859567248,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002987)"
      },
      "parent_node_id": "node_3204",
      "improvement_over_parent": null
    },
    "node_3206": {
      "node_id": "node_3206",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 195.09 kg\n  Factor of Safety: 0.62\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": 195.08599342261994,
      "fos_buckling": 0.6156899668821835,
      "fos_yielding": 4.258156472768638,
      "deflection": 0.011910277594278679,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_3205",
      "improvement_over_parent": null
    },
    "node_3207": {
      "node_id": "node_3207",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.48 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.47961306273822,
      "fos_buckling": 1.5250377939692554,
      "fos_yielding": 4.600656000358061,
      "deflection": 0.0069734336176363685,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_3206",
      "improvement_over_parent": null
    },
    "node_3208": {
      "node_id": "node_3208",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3207",
      "improvement_over_parent": null
    },
    "node_3209": {
      "node_id": "node_3209",
      "content": "INITIAL DESIGN (Trace 466)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 95.16 kg\n  Factor of Safety: 0.25\n  Max Deflection: 1.68e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 95.16296186340422,
      "fos_buckling": 0.2537411275307751,
      "fos_yielding": 1.0153339023542176,
      "deflection": 168032497228229.47,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3210": {
      "node_id": "node_3210",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 117.59 kg\n  Factor of Safety: 0.08\n  Max Deflection: 1.41e+15 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.58784422788328,
      "fos_buckling": 0.07924428192252674,
      "fos_yielding": 0.15993426995705778,
      "deflection": 1410381389848796.2,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_3209",
      "improvement_over_parent": null
    },
    "node_3211": {
      "node_id": "node_3211",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 131.98 kg\n  Factor of Safety: 0.65\n  Max Deflection: 1.52e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.98001731094908,
      "fos_buckling": 0.646825608057762,
      "fos_yielding": 3.250718081512886,
      "deflection": 15195159252558.006,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_3210",
      "improvement_over_parent": null
    },
    "node_3212": {
      "node_id": "node_3212",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n\nPerformance:\n  Mass: 148.68 kg\n  Factor of Safety: 0.55\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": 148.6806943000347,
      "fos_buckling": 0.5536418405508331,
      "fos_yielding": 3.5032215707768444,
      "deflection": 0.013249283932196298,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.003988)"
      },
      "parent_node_id": "node_3211",
      "improvement_over_parent": null
    },
    "node_3213": {
      "node_id": "node_3213",
      "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n\nPerformance:\n  Mass: 157.66 kg\n  Factor of Safety: 0.55\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": 157.6603687711231,
      "fos_buckling": 0.5529874802924266,
      "fos_yielding": 3.5026257831014442,
      "deflection": 0.013263909318616927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.511)"
      },
      "parent_node_id": "node_3212",
      "improvement_over_parent": null
    },
    "node_3214": {
      "node_id": "node_3214",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n\nPerformance:\n  Mass: 182.25 kg\n  Factor of Safety: 0.63\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": 182.25298954054125,
      "fos_buckling": 0.6314429802449402,
      "fos_yielding": 4.048327651004915,
      "deflection": 0.011481007770781822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_3213",
      "improvement_over_parent": null
    },
    "node_3215": {
      "node_id": "node_3215",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0109)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n\nPerformance:\n  Mass: 206.64 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.64261086759993,
      "fos_buckling": 0.7071944947880904,
      "fos_yielding": 4.589524241644719,
      "deflection": 0.010130751901741423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_3214",
      "improvement_over_parent": null
    },
    "node_3216": {
      "node_id": "node_3216",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0109)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 228.73 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.20e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.73375899626024,
      "fos_buckling": 1.2909583339752764,
      "fos_yielding": 4.611401986642866,
      "deflection": 0.007198014320826866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)"
      },
      "parent_node_id": "node_3215",
      "improvement_over_parent": null
    },
    "node_3217": {
      "node_id": "node_3217",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 467)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 122.61 kg\n  Factor of Safety: 0.38\n  Max Deflection: 4.79e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.6141761670772,
      "fos_buckling": 0.3807131567818419,
      "fos_yielding": 2.8417917360882754,
      "deflection": 47857371765095.91,
      "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: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 144.50 kg\n  Factor of Safety: 0.55\n  Max Deflection: 6.33e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.50042256566863,
      "fos_buckling": 0.553762933849987,
      "fos_yielding": 2.2399056450774086,
      "deflection": 63268185963518.734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006131)"
      },
      "parent_node_id": "node_3218",
      "improvement_over_parent": null
    },
    "node_3220": {
      "node_id": "node_3220",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n  Mass: 172.73 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.72800535251375,
      "fos_buckling": 0.8776135153098004,
      "fos_yielding": 2.5651877813767667,
      "deflection": 0.010322648883065767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006963)"
      },
      "parent_node_id": "node_3219",
      "improvement_over_parent": null
    },
    "node_3221": {
      "node_id": "node_3221",
      "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n  Mass: 173.34 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.33594528875366,
      "fos_buckling": 0.877473390198212,
      "fos_yielding": 2.561594583594797,
      "deflection": 0.010296172587329929,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.447)"
      },
      "parent_node_id": "node_3220",
      "improvement_over_parent": null
    },
    "node_3222": {
      "node_id": "node_3222",
      "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n  Mass: 174.94 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.94361998092918,
      "fos_buckling": 0.877473390198212,
      "fos_yielding": 3.897787640470056,
      "deflection": 0.010086815933104055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.626)"
      },
      "parent_node_id": "node_3221",
      "improvement_over_parent": null
    },
    "node_3223": {
      "node_id": "node_3223",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 200.91 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.91033889869337,
      "fos_buckling": 0.9814459552998827,
      "fos_yielding": 4.492455748644498,
      "deflection": 0.00881144562002441,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_3222",
      "improvement_over_parent": null
    },
    "node_3224": {
      "node_id": "node_3224",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 226.53 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.52686780798797,
      "fos_buckling": 1.2634685912744366,
      "fos_yielding": 3.863554095768892,
      "deflection": 0.007069671086084222,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_3223",
      "improvement_over_parent": null
    },
    "node_3225": {
      "node_id": "node_3225",
      "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.76915253479407,
      "fos_buckling": 1.5268684244033603,
      "fos_yielding": 4.608912097644563,
      "deflection": 0.006964545969096268,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.435)"
      },
      "parent_node_id": "node_3224",
      "improvement_over_parent": null
    },
    "node_3226": {
      "node_id": "node_3226",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3225",
      "improvement_over_parent": null
    },
    "node_3227": {
      "node_id": "node_3227",
      "content": "INITIAL DESIGN (Trace 468)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n  Mass: 93.04 kg\n  Factor of Safety: 0.17\n  Max Deflection: 1.76e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 93.03839193934608,
      "fos_buckling": 0.17294280319337385,
      "fos_yielding": 1.1668343243301205,
      "deflection": 175727837773319.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3228": {
      "node_id": "node_3228",
      "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n  Mass: 93.79 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.76e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 93.78563643769482,
      "fos_buckling": 0.586606877368466,
      "fos_yielding": 0.22842970877636903,
      "deflection": 175727837773319.47,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.332)"
      },
      "parent_node_id": "node_3227",
      "improvement_over_parent": null
    },
    "node_3229": {
      "node_id": "node_3229",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n\nPerformance:\n  Mass: 107.23 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.19e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.22942449385421,
      "fos_buckling": 0.3972373422740082,
      "fos_yielding": 2.3997966681449103,
      "deflection": 0.02190115146770813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004083)"
      },
      "parent_node_id": "node_3228",
      "improvement_over_parent": null
    },
    "node_3230": {
      "node_id": "node_3230",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n\nPerformance:\n  Mass: 132.47 kg\n  Factor of Safety: 0.48\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": 132.47429376970516,
      "fos_buckling": 0.4771239236212958,
      "fos_yielding": 2.960955552942847,
      "deflection": 0.017779520184607076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_3229",
      "improvement_over_parent": null
    },
    "node_3231": {
      "node_id": "node_3231",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n  Mass: 153.24 kg\n  Factor of Safety: 0.54\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": 153.238971358113,
      "fos_buckling": 0.539013518817156,
      "fos_yielding": 3.4214430860624714,
      "deflection": 0.015407240067092784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_3230",
      "improvement_over_parent": null
    },
    "node_3232": {
      "node_id": "node_3232",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n  Mass: 172.83 kg\n  Factor of Safety: 0.54\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": 172.82650155185664,
      "fos_buckling": 0.5376264737353398,
      "fos_yielding": 3.41924728520252,
      "deflection": 0.013600496570475584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006038)"
      },
      "parent_node_id": "node_3231",
      "improvement_over_parent": null
    },
    "node_3233": {
      "node_id": "node_3233",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 201.89 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.83e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.89096573199012,
      "fos_buckling": 1.3847897899309272,
      "fos_yielding": 4.086649076729347,
      "deflection": 0.007834819833214888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007138)"
      },
      "parent_node_id": "node_3232",
      "improvement_over_parent": null
    },
    "node_3234": {
      "node_id": "node_3234",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.61476353414068,
      "fos_buckling": 1.5256826138558937,
      "fos_yielding": 4.6033432421961145,
      "deflection": 0.006969482757955334,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_3233",
      "improvement_over_parent": null
    },
    "node_3235": {
      "node_id": "node_3235",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3234",
      "improvement_over_parent": null
    },
    "node_3236": {
      "node_id": "node_3236",
      "content": "INITIAL DESIGN (Trace 469)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 188.96 kg\n  Factor of Safety: 1.23\n  Max Deflection: 8.35e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.96363305874456,
      "fos_buckling": 1.2284503541404626,
      "fos_yielding": 4.084419829062835,
      "deflection": 0.008354427700400506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3237": {
      "node_id": "node_3237",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 215.75 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.34e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.747051018046,
      "fos_buckling": 1.3746672813960759,
      "fos_yielding": 4.656130490742435,
      "deflection": 0.007338826549917547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_3236",
      "improvement_over_parent": null
    },
    "node_3238": {
      "node_id": "node_3238",
      "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 221.11 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.14e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.1145465508703,
      "fos_buckling": 1.4031565484572177,
      "fos_yielding": 4.654516420825731,
      "deflection": 0.007138472353231572,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.218)"
      },
      "parent_node_id": "node_3237",
      "improvement_over_parent": null
    },
    "node_3239": {
      "node_id": "node_3239",
      "content": "MODIFICATION: Increase 3 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.64041871096703,
      "fos_buckling": 1.52594504450403,
      "fos_yielding": 4.604082757965506,
      "deflection": 0.006968674547406757,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.473)"
      },
      "parent_node_id": "node_3238",
      "improvement_over_parent": null
    },
    "node_3240": {
      "node_id": "node_3240",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3239",
      "improvement_over_parent": null
    },
    "node_3241": {
      "node_id": "node_3241",
      "content": "INITIAL DESIGN (Trace 470)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0027)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 128.28 kg\n  Factor of Safety: 0.71\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": 128.28077445566217,
      "fos_buckling": 0.7130552458568755,
      "fos_yielding": 3.415947841847829,
      "deflection": 0.013075781314540178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3242": {
      "node_id": "node_3242",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n  Mass: 148.45 kg\n  Factor of Safety: 0.81\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": 148.45316996725907,
      "fos_buckling": 0.8082799370599246,
      "fos_yielding": 3.9512505519812917,
      "deflection": 0.011329340143522545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_3241",
      "improvement_over_parent": null
    },
    "node_3243": {
      "node_id": "node_3243",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 193.50 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.74e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.50056650424244,
      "fos_buckling": 1.0047913564148634,
      "fos_yielding": 5.144576509878435,
      "deflection": 0.008744243183800684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_3242",
      "improvement_over_parent": null
    },
    "node_3244": {
      "node_id": "node_3244",
      "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 194.30 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.30386944378574,
      "fos_buckling": 1.0045798528468595,
      "fos_yielding": 5.144576509878435,
      "deflection": 0.008710384460400407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.558)"
      },
      "parent_node_id": "node_3243",
      "improvement_over_parent": null
    },
    "node_3245": {
      "node_id": "node_3245",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 219.42 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.20e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.42316442128669,
      "fos_buckling": 1.3236501974382406,
      "fos_yielding": 4.6667627391774005,
      "deflection": 0.007199532364757567,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_3244",
      "improvement_over_parent": null
    },
    "node_3246": {
      "node_id": "node_3246",
      "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 223.90 kg\n  Factor of Safety: 1.49\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.90497770162062,
      "fos_buckling": 1.488467916018972,
      "fos_yielding": 4.624528760735727,
      "deflection": 0.007056038151041587,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.355)"
      },
      "parent_node_id": "node_3245",
      "improvement_over_parent": null
    },
    "node_3247": {
      "node_id": "node_3247",
      "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.45 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.44653992907575,
      "fos_buckling": 1.525005849904323,
      "fos_yielding": 4.6002748385762695,
      "deflection": 0.0069747251721803466,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.215)"
      },
      "parent_node_id": "node_3246",
      "improvement_over_parent": null
    },
    "node_3248": {
      "node_id": "node_3248",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3247",
      "improvement_over_parent": null
    },
    "node_3249": {
      "node_id": "node_3249",
      "content": "INITIAL DESIGN (Trace 471)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 150.43 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.4325942770717,
      "fos_buckling": 0.8306606411499381,
      "fos_yielding": 4.076093870884131,
      "deflection": 0.011704228763278745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3250": {
      "node_id": "node_3250",
      "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 155.46 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.4558646657603,
      "fos_buckling": 0.8301112576912112,
      "fos_yielding": 4.076093870884131,
      "deflection": 0.011442149419968808,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.353)"
      },
      "parent_node_id": "node_3249",
      "improvement_over_parent": null
    },
    "node_3251": {
      "node_id": "node_3251",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n  Mass: 172.61 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.28e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.6094418004697,
      "fos_buckling": 1.007546492224784,
      "fos_yielding": 3.6550459574625354,
      "deflection": 0.009275599562760776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005292)"
      },
      "parent_node_id": "node_3250",
      "improvement_over_parent": null
    },
    "node_3252": {
      "node_id": "node_3252",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n\nPerformance:\n  Mass: 190.82 kg\n  Factor of Safety: 1.10\n  Max Deflection: 8.41e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.82282428363274,
      "fos_buckling": 1.1021869526044312,
      "fos_yielding": 4.037055444876927,
      "deflection": 0.008405923232456782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_3251",
      "improvement_over_parent": null
    },
    "node_3253": {
      "node_id": "node_3253",
      "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0091)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n\nPerformance:\n  Mass: 199.93 kg\n  Factor of Safety: 1.17\n  Max Deflection: 8.18e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.9307429928999,
      "fos_buckling": 1.1656672947644164,
      "fos_yielding": 4.037859340212372,
      "deflection": 0.008177407212278482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.458)"
      },
      "parent_node_id": "node_3252",
      "improvement_over_parent": null
    },
    "node_3254": {
      "node_id": "node_3254",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0105)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 228.36 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.36483890068519,
      "fos_buckling": 1.310113644676491,
      "fos_yielding": 4.610336532212919,
      "deflection": 0.007176479404810433,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_3253",
      "improvement_over_parent": null
    },
    "node_3255": {
      "node_id": "node_3255",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3254",
      "improvement_over_parent": null
    },
    "node_3256": {
      "node_id": "node_3256",
      "content": "INITIAL DESIGN (Trace 472)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n\nPerformance:\n  Mass: 107.94 kg\n  Factor of Safety: 0.80\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": 107.94300355624962,
      "fos_buckling": 0.8029278897574773,
      "fos_yielding": 2.1921965060643345,
      "deflection": 0.014498970665743975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3257": {
      "node_id": "node_3257",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 136.35 kg\n  Factor of Safety: 0.99\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.34978939245116,
      "fos_buckling": 0.9902102976995656,
      "fos_yielding": 2.7664353328632907,
      "deflection": 0.011515365920231278,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_3256",
      "improvement_over_parent": null
    },
    "node_3258": {
      "node_id": "node_3258",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 162.73 kg\n  Factor of Safety: 1.16\n  Max Deflection: 9.68e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.7273998502228,
      "fos_buckling": 1.1553164632634614,
      "fos_yielding": 3.298664082969733,
      "deflection": 0.009677607354149657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_3257",
      "improvement_over_parent": null
    },
    "node_3259": {
      "node_id": "node_3259",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 199.39 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.93e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.39340253217964,
      "fos_buckling": 1.3708912131665973,
      "fos_yielding": 4.036905057281116,
      "deflection": 0.0079307386742209,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_3258",
      "improvement_over_parent": null
    },
    "node_3260": {
      "node_id": "node_3260",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.70 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.70421815491403,
      "fos_buckling": 1.526369589837017,
      "fos_yielding": 4.605667723688751,
      "deflection": 0.006966823797527552,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_3259",
      "improvement_over_parent": null
    },
    "node_3261": {
      "node_id": "node_3261",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3260",
      "improvement_over_parent": null
    },
    "node_3262": {
      "node_id": "node_3262",
      "content": "INITIAL DESIGN (Trace 473)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n  Mass: 116.53 kg\n  Factor of Safety: 0.54\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": 116.53128659857771,
      "fos_buckling": 0.5424855169886245,
      "fos_yielding": 2.2449490632336784,
      "deflection": 0.01566497731013052,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3263": {
      "node_id": "node_3263",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 136.63 kg\n  Factor of Safety: 0.63\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": 136.62858364730704,
      "fos_buckling": 0.6260570071690377,
      "fos_yielding": 2.634210029701546,
      "deflection": 0.013388486267722077,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_3262",
      "improvement_over_parent": null
    },
    "node_3264": {
      "node_id": "node_3264",
      "content": "MODIFICATION: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n  Mass: 140.10 kg\n  Factor of Safety: 0.73\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": 140.09522569750084,
      "fos_buckling": 0.7261136683380518,
      "fos_yielding": 2.634063786689237,
      "deflection": 0.012664974211786141,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.193)"
      },
      "parent_node_id": "node_3263",
      "improvement_over_parent": null
    },
    "node_3265": {
      "node_id": "node_3265",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n\nPerformance:\n  Mass: 157.94 kg\n  Factor of Safety: 1.02\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.9410218840592,
      "fos_buckling": 1.019457784341429,
      "fos_yielding": 2.6437928261444257,
      "deflection": 0.010022836601996807,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004870)"
      },
      "parent_node_id": "node_3264",
      "improvement_over_parent": null
    },
    "node_3266": {
      "node_id": "node_3266",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n  Mass: 180.30 kg\n  Factor of Safety: 1.15\n  Max Deflection: 8.80e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.301154836845,
      "fos_buckling": 1.1489686912591055,
      "fos_yielding": 3.0210935649291413,
      "deflection": 0.008801418058341915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_3265",
      "improvement_over_parent": null
    },
    "node_3267": {
      "node_id": "node_3267",
      "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n  Mass: 181.02 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.01950056128481,
      "fos_buckling": 1.2649562161299275,
      "fos_yielding": 3.6678250469014615,
      "deflection": 0.008717688090658886,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.235)"
      },
      "parent_node_id": "node_3266",
      "improvement_over_parent": null
    },
    "node_3268": {
      "node_id": "node_3268",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n  Mass: 205.51 kg\n  Factor of Safety: 1.41\n  Max Deflection: 7.70e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.50868441536247,
      "fos_buckling": 1.4053643410874692,
      "fos_yielding": 4.160564171109972,
      "deflection": 0.007700061974229106,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_3267",
      "improvement_over_parent": null
    },
    "node_3269": {
      "node_id": "node_3269",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.76 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.76079003070686,
      "fos_buckling": 1.5267581967772514,
      "fos_yielding": 4.6075814669058355,
      "deflection": 0.006965156554357314,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_3268",
      "improvement_over_parent": null
    },
    "node_3270": {
      "node_id": "node_3270",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3269",
      "improvement_over_parent": null
    },
    "node_3271": {
      "node_id": "node_3271",
      "content": "INITIAL DESIGN (Trace 474)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 166.32 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.32090501900947,
      "fos_buckling": 0.8904365714978827,
      "fos_yielding": 3.2247530497511723,
      "deflection": 0.010591658542278741,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3272": {
      "node_id": "node_3272",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 193.08 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.15e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.07638714470733,
      "fos_buckling": 1.0046045791655263,
      "fos_yielding": 3.7532933178944834,
      "deflection": 0.009151870135013056,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_3271",
      "improvement_over_parent": null
    },
    "node_3273": {
      "node_id": "node_3273",
      "content": "MODIFICATION: Increase 4 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 194.34 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.03e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.33770455963509,
      "fos_buckling": 1.0046045791655258,
      "fos_yielding": 5.1411419799833125,
      "deflection": 0.009027075680980308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.445)"
      },
      "parent_node_id": "node_3272",
      "improvement_over_parent": null
    },
    "node_3274": {
      "node_id": "node_3274",
      "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 202.35 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.35028442590428,
      "fos_buckling": 1.0035510600017428,
      "fos_yielding": 5.1411419799833125,
      "deflection": 0.008718848656886491,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.361)"
      },
      "parent_node_id": "node_3273",
      "improvement_over_parent": null
    },
    "node_3275": {
      "node_id": "node_3275",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.47 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.46957940340522,
      "fos_buckling": 1.5251815690284132,
      "fos_yielding": 4.6003500435309945,
      "deflection": 0.006974003734335597,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_3274",
      "improvement_over_parent": null
    },
    "node_3276": {
      "node_id": "node_3276",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3275",
      "improvement_over_parent": null
    },
    "node_3277": {
      "node_id": "node_3277",
      "content": "INITIAL DESIGN (Trace 475)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 185.78 kg\n  Factor of Safety: 0.59\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": 185.77649926005546,
      "fos_buckling": 0.5930975483902164,
      "fos_yielding": 3.8525857240624446,
      "deflection": 0.012496758395895603,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3278": {
      "node_id": "node_3278",
      "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 194.85 kg\n  Factor of Safety: 0.59\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": 194.85171780253484,
      "fos_buckling": 0.592392393076109,
      "fos_yielding": 3.8514414110480972,
      "deflection": 0.012092699078344676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.427)"
      },
      "parent_node_id": "node_3277",
      "improvement_over_parent": null
    },
    "node_3279": {
      "node_id": "node_3279",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 216.06 kg\n  Factor of Safety: 1.17\n  Max Deflection: 7.50e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.06169335181508,
      "fos_buckling": 1.1748386964804367,
      "fos_yielding": 4.512136018685926,
      "deflection": 0.007500374883517702,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005094)"
      },
      "parent_node_id": "node_3278",
      "improvement_over_parent": null
    },
    "node_3280": {
      "node_id": "node_3280",
      "content": "MODIFICATION: Increase 10 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.61144014676103,
      "fos_buckling": 1.5254826972104758,
      "fos_yielding": 4.60409734549583,
      "deflection": 0.006969652707140466,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.597)"
      },
      "parent_node_id": "node_3279",
      "improvement_over_parent": null
    },
    "node_3281": {
      "node_id": "node_3281",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3280",
      "improvement_over_parent": null
    },
    "node_3282": {
      "node_id": "node_3282",
      "content": "INITIAL DESIGN (Trace 476)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n  Mass: 139.22 kg\n  Factor of Safety: 0.48\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": 139.22244800042427,
      "fos_buckling": 0.481109932636,
      "fos_yielding": 1.9051364550925904,
      "deflection": 0.016548463857497586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3283": {
      "node_id": "node_3283",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n  Mass: 158.97 kg\n  Factor of Safety: 0.54\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": 158.9747031931927,
      "fos_buckling": 0.5372294510073928,
      "fos_yielding": 2.180744360223331,
      "deflection": 0.01452416381422167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_3282",
      "improvement_over_parent": null
    },
    "node_3284": {
      "node_id": "node_3284",
      "content": "MODIFICATION: Increase 6 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n  Mass: 160.58 kg\n  Factor of Safety: 0.54\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": 160.57677100125562,
      "fos_buckling": 0.5372294510073928,
      "fos_yielding": 3.409183315490877,
      "deflection": 0.013934409563559652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.610)"
      },
      "parent_node_id": "node_3283",
      "improvement_over_parent": null
    },
    "node_3285": {
      "node_id": "node_3285",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 189.59 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.20e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.58871542737387,
      "fos_buckling": 1.2644867933054118,
      "fos_yielding": 4.071267412121914,
      "deflection": 0.008203709085866888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007124)"
      },
      "parent_node_id": "node_3284",
      "improvement_over_parent": null
    },
    "node_3286": {
      "node_id": "node_3286",
      "content": "MODIFICATION: Increase 2 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 194.05 kg\n  Factor of Safety: 1.30\n  Max Deflection: 8.09e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.05352630217598,
      "fos_buckling": 1.3001627343251132,
      "fos_yielding": 4.0718824224756265,
      "deflection": 0.008093105171272178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.321)"
      },
      "parent_node_id": "node_3285",
      "improvement_over_parent": null
    },
    "node_3287": {
      "node_id": "node_3287",
      "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 201.36 kg\n  Factor of Safety: 1.38\n  Max Deflection: 7.86e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.35757322205018,
      "fos_buckling": 1.3823924130527259,
      "fos_yielding": 4.073242478699142,
      "deflection": 0.007855211819205624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.515)"
      },
      "parent_node_id": "node_3286",
      "improvement_over_parent": null
    },
    "node_3288": {
      "node_id": "node_3288",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.56439144119338,
      "fos_buckling": 1.526045615446619,
      "fos_yielding": 4.59934367347117,
      "deflection": 0.0069710815678194074,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_3287",
      "improvement_over_parent": null
    },
    "node_3289": {
      "node_id": "node_3289",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3288",
      "improvement_over_parent": null
    },
    "node_3290": {
      "node_id": "node_3290",
      "content": "INITIAL DESIGN (Trace 477)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 122.57 kg\n  Factor of Safety: 0.35\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": 122.57179018955938,
      "fos_buckling": 0.35146372312980434,
      "fos_yielding": 2.743948736417839,
      "deflection": 0.01998360825813245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3291": {
      "node_id": "node_3291",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n\nPerformance:\n  Mass: 143.43 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": 143.42777318676895,
      "fos_buckling": 1.0055105708494099,
      "fos_yielding": 2.979242871841163,
      "deflection": 0.011015114824894139,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005037)"
      },
      "parent_node_id": "node_3290",
      "improvement_over_parent": null
    },
    "node_3292": {
      "node_id": "node_3292",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n\nPerformance:\n  Mass: 179.65 kg\n  Factor of Safety: 1.23\n  Max Deflection: 8.83e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.6452600567133,
      "fos_buckling": 1.2289088274778968,
      "fos_yielding": 3.725699213404782,
      "deflection": 0.008828870428213266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_3291",
      "improvement_over_parent": null
    },
    "node_3293": {
      "node_id": "node_3293",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 222.92 kg\n  Factor of Safety: 1.47\n  Max Deflection: 7.15e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.92198220423103,
      "fos_buckling": 1.4669583895257268,
      "fos_yielding": 4.614463111939231,
      "deflection": 0.0071480292132234825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_3292",
      "improvement_over_parent": null
    },
    "node_3294": {
      "node_id": "node_3294",
      "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 223.52 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.52073041553155,
      "fos_buckling": 1.4831994725829567,
      "fos_yielding": 4.603566616663827,
      "deflection": 0.007067283944005787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.368)"
      },
      "parent_node_id": "node_3293",
      "improvement_over_parent": null
    },
    "node_3295": {
      "node_id": "node_3295",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6462473988388,
      "fos_buckling": 1.5259791181781504,
      "fos_yielding": 4.604290285715693,
      "deflection": 0.006968722393066751,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.252)"
      },
      "parent_node_id": "node_3294",
      "improvement_over_parent": null
    },
    "node_3296": {
      "node_id": "node_3296",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 478)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 181.08 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.0847176945949,
      "fos_buckling": 0.7907246798084551,
      "fos_yielding": 4.138067014744704,
      "deflection": 0.010277667297120482,
      "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: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 185.28 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.76e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.27608379005954,
      "fos_buckling": 0.9020219321498479,
      "fos_yielding": 4.1377897187105885,
      "deflection": 0.009760375649849074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.182)"
      },
      "parent_node_id": "node_3297",
      "improvement_over_parent": null
    },
    "node_3299": {
      "node_id": "node_3299",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n  Mass: 205.19 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.71e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.18585607304715,
      "fos_buckling": 1.403439305560195,
      "fos_yielding": 4.153217857303826,
      "deflection": 0.0077118333477784904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006146)"
      },
      "parent_node_id": "node_3298",
      "improvement_over_parent": null
    },
    "node_3300": {
      "node_id": "node_3300",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n  Mass: 227.59 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.59181822628267,
      "fos_buckling": 1.525731847121001,
      "fos_yielding": 4.603251777950511,
      "deflection": 0.006970138949592778,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_3299",
      "improvement_over_parent": null
    },
    "node_3301": {
      "node_id": "node_3301",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3300",
      "improvement_over_parent": null
    },
    "node_3302": {
      "node_id": "node_3302",
      "content": "INITIAL DESIGN (Trace 479)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 150.70 kg\n  Factor of Safety: 0.79\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": 150.70005928487302,
      "fos_buckling": 0.7892315073602398,
      "fos_yielding": 3.3593685934076896,
      "deflection": 0.011665095959661021,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3303": {
      "node_id": "node_3303",
      "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n  Mass: 151.22 kg\n  Factor of Safety: 0.79\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": 151.22105708786572,
      "fos_buckling": 0.7892315073602404,
      "fos_yielding": 3.8444552443571833,
      "deflection": 0.011594561329053166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.203)"
      },
      "parent_node_id": "node_3302",
      "improvement_over_parent": null
    },
    "node_3304": {
      "node_id": "node_3304",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n  Mass: 175.67 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.67428049352264,
      "fos_buckling": 0.8949788192078802,
      "fos_yielding": 4.464863534839373,
      "deflection": 0.010010424374014748,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_3303",
      "improvement_over_parent": null
    },
    "node_3305": {
      "node_id": "node_3305",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n  Mass: 197.46 kg\n  Factor of Safety: 1.36\n  Max Deflection: 8.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.45836835584134,
      "fos_buckling": 1.359915828490208,
      "fos_yielding": 3.9981724651041737,
      "deflection": 0.008006740620859936,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006100)"
      },
      "parent_node_id": "node_3304",
      "improvement_over_parent": null
    },
    "node_3306": {
      "node_id": "node_3306",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.65 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.65421789234523,
      "fos_buckling": 1.526100825282619,
      "fos_yielding": 4.604870678768735,
      "deflection": 0.00696833813753232,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_3305",
      "improvement_over_parent": null
    },
    "node_3307": {
      "node_id": "node_3307",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3306",
      "improvement_over_parent": null
    },
    "node_3308": {
      "node_id": "node_3308",
      "content": "INITIAL DESIGN (Trace 480)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 127.98 kg\n  Factor of Safety: 0.53\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": 127.9804617044463,
      "fos_buckling": 0.5271468965163643,
      "fos_yielding": 3.2075393392887785,
      "deflection": 0.020119511556103763,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3309": {
      "node_id": "node_3309",
      "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 131.55 kg\n  Factor of Safety: 0.53\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": 131.55253613962455,
      "fos_buckling": 0.5268981745758908,
      "fos_yielding": 3.207539339288773,
      "deflection": 0.020127264215861168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.300)"
      },
      "parent_node_id": "node_3308",
      "improvement_over_parent": null
    },
    "node_3310": {
      "node_id": "node_3310",
      "content": "MODIFICATION: Increase 1 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n  Mass: 139.78 kg\n  Factor of Safety: 0.53\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": 139.78039308698848,
      "fos_buckling": 0.5263261645572339,
      "fos_yielding": 3.207539339288768,
      "deflection": 0.020145121563630023,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.553)"
      },
      "parent_node_id": "node_3309",
      "improvement_over_parent": null
    },
    "node_3311": {
      "node_id": "node_3311",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n\nPerformance:\n  Mass: 167.66 kg\n  Factor of Safety: 0.52\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": 167.65594353025176,
      "fos_buckling": 0.5243974222393543,
      "fos_yielding": 3.3187275748193885,
      "deflection": 0.014010137091910402,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006869)"
      },
      "parent_node_id": "node_3310",
      "improvement_over_parent": null
    },
    "node_3312": {
      "node_id": "node_3312",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 195.86 kg\n  Factor of Safety: 1.35\n  Max Deflection: 8.07e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.8628917127258,
      "fos_buckling": 1.3512275669648968,
      "fos_yielding": 3.966214992109352,
      "deflection": 0.008070643082547596,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006910)"
      },
      "parent_node_id": "node_3311",
      "improvement_over_parent": null
    },
    "node_3313": {
      "node_id": "node_3313",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.60 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.6005090126474,
      "fos_buckling": 1.5262477481703896,
      "fos_yielding": 4.603944503200684,
      "deflection": 0.006970051039012329,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_3312",
      "improvement_over_parent": null
    },
    "node_3314": {
      "node_id": "node_3314",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3313",
      "improvement_over_parent": null
    },
    "node_3315": {
      "node_id": "node_3315",
      "content": "INITIAL DESIGN (Trace 481)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 147.80 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.8002603448277,
      "fos_buckling": 1.0629185508771546,
      "fos_yielding": 2.997591839078713,
      "deflection": 0.01063702757938283,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3316": {
      "node_id": "node_3316",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 164.99 kg\n  Factor of Safety: 1.17\n  Max Deflection: 9.55e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.98978524873368,
      "fos_buckling": 1.1690855098888733,
      "fos_yielding": 3.344268562890971,
      "deflection": 0.00954734557404338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_3315",
      "improvement_over_parent": null
    },
    "node_3317": {
      "node_id": "node_3317",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 204.36 kg\n  Factor of Safety: 1.40\n  Max Deflection: 7.74e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.35934228929025,
      "fos_buckling": 1.3988516392813675,
      "fos_yielding": 4.136749370361112,
      "deflection": 0.007742345862467784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_3316",
      "improvement_over_parent": null
    },
    "node_3318": {
      "node_id": "node_3318",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.61 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.60552354995178,
      "fos_buckling": 1.5258440638775956,
      "fos_yielding": 4.603686847465433,
      "deflection": 0.00696976759346621,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_3317",
      "improvement_over_parent": null
    },
    "node_3319": {
      "node_id": "node_3319",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3318",
      "improvement_over_parent": null
    },
    "node_3320": {
      "node_id": "node_3320",
      "content": "INITIAL DESIGN (Trace 482)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 125.25 kg\n  Factor of Safety: 0.47\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": 125.25240479039319,
      "fos_buckling": 0.47293334734039233,
      "fos_yielding": 3.1015924093743994,
      "deflection": 0.018397735396158882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3321": {
      "node_id": "node_3321",
      "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 125.83 kg\n  Factor of Safety: 0.47\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": 125.82837474824733,
      "fos_buckling": 0.47293334734039233,
      "fos_yielding": 3.1015924093744,
      "deflection": 0.018397735396158882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.200)"
      },
      "parent_node_id": "node_3320",
      "improvement_over_parent": null
    },
    "node_3322": {
      "node_id": "node_3322",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 148.53 kg\n  Factor of Safety: 0.54\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": 148.53187387328856,
      "fos_buckling": 0.5441536127393566,
      "fos_yielding": 3.6558056318839305,
      "deflection": 0.015627003040903954,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_3321",
      "improvement_over_parent": null
    },
    "node_3323": {
      "node_id": "node_3323",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n\nPerformance:\n  Mass: 167.06 kg\n  Factor of Safety: 0.54\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": 167.05847543972016,
      "fos_buckling": 0.5428282179889526,
      "fos_yielding": 3.652979288100285,
      "deflection": 0.01386462302421496,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005750)"
      },
      "parent_node_id": "node_3322",
      "improvement_over_parent": null
    },
    "node_3324": {
      "node_id": "node_3324",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 195.34 kg\n  Factor of Safety: 0.62\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": 195.34442982840912,
      "fos_buckling": 0.6163649756276878,
      "fos_yielding": 4.263952314995701,
      "deflection": 0.011894540051875705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_3323",
      "improvement_over_parent": null
    },
    "node_3325": {
      "node_id": "node_3325",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.74 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.7380494685274,
      "fos_buckling": 1.5266089908086178,
      "fos_yielding": 4.6068308459045495,
      "deflection": 0.006965779719516112,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_3324",
      "improvement_over_parent": null
    },
    "node_3326": {
      "node_id": "node_3326",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 483)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n  Mass: 146.42 kg\n  Factor of Safety: 0.50\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": 146.42253466882764,
      "fos_buckling": 0.5018957549337899,
      "fos_yielding": 3.1449482612662307,
      "deflection": 0.01515422354960292,
      "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: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n  Mass: 152.23 kg\n  Factor of Safety: 0.50\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": 152.22557535911025,
      "fos_buckling": 0.5015121109186977,
      "fos_yielding": 3.144349759268427,
      "deflection": 0.0149949417482569,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.511)"
      },
      "parent_node_id": "node_3327",
      "improvement_over_parent": null
    },
    "node_3329": {
      "node_id": "node_3329",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 178.93 kg\n  Factor of Safety: 1.22\n  Max Deflection: 8.76e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.93204081088177,
      "fos_buckling": 1.2171186151369195,
      "fos_yielding": 3.7555783411814225,
      "deflection": 0.008761876142270152,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006514)"
      },
      "parent_node_id": "node_3328",
      "improvement_over_parent": null
    },
    "node_3330": {
      "node_id": "node_3330",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 219.78 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.17e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.77966248293632,
      "fos_buckling": 1.4405505013618005,
      "fos_yielding": 4.604168940571135,
      "deflection": 0.007166512463033618,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_3329",
      "improvement_over_parent": null
    },
    "node_3331": {
      "node_id": "node_3331",
      "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.73 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.72986714533818,
      "fos_buckling": 1.526310196254326,
      "fos_yielding": 4.605553580411659,
      "deflection": 0.0069663724819865845,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.493)"
      },
      "parent_node_id": "node_3330",
      "improvement_over_parent": null
    },
    "node_3332": {
      "node_id": "node_3332",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 484)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 110.53 kg\n  Factor of Safety: 1.49\n  Max Deflection: 1.34e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.52984646417796,
      "fos_buckling": 1.4884278150626322,
      "fos_yielding": 4.083610313845626,
      "deflection": 13421915958880.793,
      "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 all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 139.32 kg\n  Factor of Safety: 0.43\n  Max Deflection: 9.43e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.32100357598782,
      "fos_buckling": 0.42672553412833447,
      "fos_yielding": 2.2648044749255156,
      "deflection": 94293322059740.75,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_3333",
      "improvement_over_parent": null
    },
    "node_3335": {
      "node_id": "node_3335",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n\nPerformance:\n  Mass: 156.44 kg\n  Factor of Safety: 0.62\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": 156.43781406929793,
      "fos_buckling": 0.61882199461965,
      "fos_yielding": 4.268033272353267,
      "deflection": 0.015154084747743726,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004659)"
      },
      "parent_node_id": "node_3334",
      "improvement_over_parent": null
    },
    "node_3336": {
      "node_id": "node_3336",
      "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n\nPerformance:\n  Mass: 161.51 kg\n  Factor of Safety: 0.62\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": 161.5129026848789,
      "fos_buckling": 0.6184087457822407,
      "fos_yielding": 4.2671290551035685,
      "deflection": 0.015163186034614118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.244)"
      },
      "parent_node_id": "node_3335",
      "improvement_over_parent": null
    },
    "node_3337": {
      "node_id": "node_3337",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 186.63 kg\n  Factor of Safety: 0.62\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": 186.63219766237984,
      "fos_buckling": 0.6163714586808624,
      "fos_yielding": 4.262659241387669,
      "deflection": 0.013662539225321324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_3336",
      "improvement_over_parent": null
    },
    "node_3338": {
      "node_id": "node_3338",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 219.03 kg\n  Factor of Safety: 1.43\n  Max Deflection: 7.19e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.02581730249813,
      "fos_buckling": 1.4322750199025902,
      "fos_yielding": 4.599008152955181,
      "deflection": 0.007191210448548331,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_3337",
      "improvement_over_parent": null
    },
    "node_3339": {
      "node_id": "node_3339",
      "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 227.55 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.54758515244717,
      "fos_buckling": 1.5252083871383262,
      "fos_yielding": 4.600535631349273,
      "deflection": 0.00697207729960657,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.546)"
      },
      "parent_node_id": "node_3338",
      "improvement_over_parent": null
    },
    "node_3340": {
      "node_id": "node_3340",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 485)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 133.57 kg\n  Factor of Safety: 1.46\n  Max Deflection: 3.11e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.57220022897218,
      "fos_buckling": 1.4638271136531786,
      "fos_yielding": 4.4739632733080485,
      "deflection": 31098357450099.617,
      "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 1 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 142.49 kg\n  Factor of Safety: 1.46\n  Max Deflection: 3.11e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.4943854855756,
      "fos_buckling": 1.4638271136531786,
      "fos_yielding": 4.4739632733080485,
      "deflection": 31134997887585.027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.506)"
      },
      "parent_node_id": "node_3341",
      "improvement_over_parent": null
    },
    "node_3343": {
      "node_id": "node_3343",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 168.11 kg\n  Factor of Safety: 1.36\n  Max Deflection: 1.34e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.1109143948702,
      "fos_buckling": 1.3599935204615852,
      "fos_yielding": 4.156611805951048,
      "deflection": 13407923368808.703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_3342",
      "improvement_over_parent": null
    },
    "node_3344": {
      "node_id": "node_3344",
      "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 168.49 kg\n  Factor of Safety: 1.29\n  Max Deflection: 1.52e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.48595685858965,
      "fos_buckling": 1.2873096581559482,
      "fos_yielding": 3.934464718030225,
      "deflection": 15205155777182.58,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.205)"
      },
      "parent_node_id": "node_3343",
      "improvement_over_parent": null
    },
    "node_3345": {
      "node_id": "node_3345",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 190.44 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.43797068723245,
      "fos_buckling": 0.7136102267265929,
      "fos_yielding": 3.831380587525613,
      "deflection": 0.010182872670278714,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005283)"
      },
      "parent_node_id": "node_3344",
      "improvement_over_parent": null
    },
    "node_3346": {
      "node_id": "node_3346",
      "content": "MODIFICATION: Increase 4 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n  Mass: 191.69 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.6922624938561,
      "fos_buckling": 0.7136102267265934,
      "fos_yielding": 5.145326395534688,
      "deflection": 0.010071828579097258,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.441)"
      },
      "parent_node_id": "node_3345",
      "improvement_over_parent": null
    },
    "node_3347": {
      "node_id": "node_3347",
      "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 202.52 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.52188105790208,
      "fos_buckling": 1.0043071264186698,
      "fos_yielding": 5.145326395534688,
      "deflection": 0.008711374988272883,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.541)"
      },
      "parent_node_id": "node_3346",
      "improvement_over_parent": null
    },
    "node_3348": {
      "node_id": "node_3348",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.64117603540302,
      "fos_buckling": 1.5260800210906023,
      "fos_yielding": 4.604233786990249,
      "deflection": 0.00696865847548774,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)"
      },
      "parent_node_id": "node_3347",
      "improvement_over_parent": null
    },
    "node_3349": {
      "node_id": "node_3349",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 486)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n  Mass: 137.35 kg\n  Factor of Safety: 0.37\n  Max Deflection: 3.29e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.35078097394884,
      "fos_buckling": 0.37388299646676554,
      "fos_yielding": 3.58531806539539,
      "deflection": 32861090890473.047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3351": {
      "node_id": "node_3351",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 156.49 kg\n  Factor of Safety: 0.07\n  Max Deflection: 4.27e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.4927385352567,
      "fos_buckling": 0.06517755777020771,
      "fos_yielding": 0.6448594933121079,
      "deflection": 427293120670304.0,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_3350",
      "improvement_over_parent": null
    },
    "node_3352": {
      "node_id": "node_3352",
      "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 159.65 kg\n  Factor of Safety: 0.24\n  Max Deflection: 3.36e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.6499915280058,
      "fos_buckling": 0.24391218278735638,
      "fos_yielding": 3.1477896813002864,
      "deflection": 33552931851522.902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.183)"
      },
      "parent_node_id": "node_3351",
      "improvement_over_parent": null
    },
    "node_3353": {
      "node_id": "node_3353",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 162.03 kg\n  Factor of Safety: 0.62\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": 162.03467383959196,
      "fos_buckling": 0.618553132257107,
      "fos_yielding": 4.265581509408588,
      "deflection": 0.013398641820395612,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_3352",
      "improvement_over_parent": null
    },
    "node_3354": {
      "node_id": "node_3354",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 183.69 kg\n  Factor of Safety: 0.62\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": 183.6939701164394,
      "fos_buckling": 0.6167953786260792,
      "fos_yielding": 4.261731034630337,
      "deflection": 0.011995979198051865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)"
      },
      "parent_node_id": "node_3353",
      "improvement_over_parent": null
    },
    "node_3355": {
      "node_id": "node_3355",
      "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0049)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 184.30 kg\n  Factor of Safety: 0.62\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": 184.2983025368431,
      "fos_buckling": 0.6166975840457563,
      "fos_yielding": 4.261516369380724,
      "deflection": 0.01182750265469376,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.287)"
      },
      "parent_node_id": "node_3354",
      "improvement_over_parent": null
    },
    "node_3356": {
      "node_id": "node_3356",
      "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0049)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n  Mass: 190.57 kg\n  Factor of Safety: 0.62\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": 190.5692268314154,
      "fos_buckling": 0.6161906931632904,
      "fos_yielding": 4.260402967229864,
      "deflection": 0.011835701075042856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.318)"
      },
      "parent_node_id": "node_3355",
      "improvement_over_parent": null
    },
    "node_3357": {
      "node_id": "node_3357",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0049)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 222.96 kg\n  Factor of Safety: 1.48\n  Max Deflection: 7.04e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.96284647153368,
      "fos_buckling": 1.4834884472580507,
      "fos_yielding": 4.630731918397295,
      "deflection": 0.007038115171775165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_3356",
      "improvement_over_parent": null
    },
    "node_3358": {
      "node_id": "node_3358",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3357",
      "improvement_over_parent": null
    },
    "node_3359": {
      "node_id": "node_3359",
      "content": "INITIAL DESIGN (Trace 487)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 146.42 kg\n  Factor of Safety: 0.72\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": 146.42298686510347,
      "fos_buckling": 0.7216621879226748,
      "fos_yielding": 3.5469656014539104,
      "deflection": 0.016070207890110884,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3360": {
      "node_id": "node_3360",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n  Mass: 165.34 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": 165.34065877164835,
      "fos_buckling": 0.8014440365636183,
      "fos_yielding": 4.000390581159113,
      "deflection": 0.014249712211288134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_3359",
      "improvement_over_parent": null
    },
    "node_3361": {
      "node_id": "node_3361",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n  Mass: 191.33 kg\n  Factor of Safety: 0.91\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": 191.33483895915117,
      "fos_buckling": 0.9061291158598951,
      "fos_yielding": 4.621530962265087,
      "deflection": 0.012335385413314864,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_3360",
      "improvement_over_parent": null
    },
    "node_3362": {
      "node_id": "node_3362",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n  Mass: 193.47 kg\n  Factor of Safety: 1.37\n  Max Deflection: 8.18e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.4705688853122,
      "fos_buckling": 1.3718473897574874,
      "fos_yielding": 4.128061803105862,
      "deflection": 0.008179093434472977,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003357)"
      },
      "parent_node_id": "node_3361",
      "improvement_over_parent": null
    },
    "node_3363": {
      "node_id": "node_3363",
      "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0090)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n  Mass: 201.98 kg\n  Factor of Safety: 1.37\n  Max Deflection: 8.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.98464676164542,
      "fos_buckling": 1.3685772303000037,
      "fos_yielding": 4.089673314783779,
      "deflection": 0.008022579961600862,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.427)"
      },
      "parent_node_id": "node_3362",
      "improvement_over_parent": null
    },
    "node_3364": {
      "node_id": "node_3364",
      "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0090)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n  Mass: 205.96 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.80e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.9594378933183,
      "fos_buckling": 1.3231592996024064,
      "fos_yielding": 4.088259758300241,
      "deflection": 0.007799082541701799,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.205)"
      },
      "parent_node_id": "node_3363",
      "improvement_over_parent": null
    },
    "node_3365": {
      "node_id": "node_3365",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0102)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 230.02 kg\n  Factor of Safety: 1.45\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.0232109791943,
      "fos_buckling": 1.4477609149317163,
      "fos_yielding": 4.564601621015241,
      "deflection": 0.006998908608926171,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_3364",
      "improvement_over_parent": null
    },
    "node_3366": {
      "node_id": "node_3366",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3365",
      "improvement_over_parent": null
    },
    "node_3367": {
      "node_id": "node_3367",
      "content": "INITIAL DESIGN (Trace 488)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 200.04 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.94e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.04133430600294,
      "fos_buckling": 0.981170070563711,
      "fos_yielding": 3.630542220291311,
      "deflection": 0.008939283689647507,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3368": {
      "node_id": "node_3368",
      "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 201.12 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.85e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.11777577295393,
      "fos_buckling": 0.9811700705637108,
      "fos_yielding": 4.597225485163064,
      "deflection": 0.008854966585370293,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.299)"
      },
      "parent_node_id": "node_3367",
      "improvement_over_parent": null
    },
    "node_3369": {
      "node_id": "node_3369",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 226.73 kg\n  Factor of Safety: 1.27\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.73430468224853,
      "fos_buckling": 1.2716164518998225,
      "fos_yielding": 4.623024942401185,
      "deflection": 0.007119749081573594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_3368",
      "improvement_over_parent": null
    },
    "node_3370": {
      "node_id": "node_3370",
      "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63180383510849,
      "fos_buckling": 1.525979971963475,
      "fos_yielding": 4.60328905416054,
      "deflection": 0.006968927257006367,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.661)"
      },
      "parent_node_id": "node_3369",
      "improvement_over_parent": null
    },
    "node_3371": {
      "node_id": "node_3371",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3370",
      "improvement_over_parent": null
    },
    "node_3372": {
      "node_id": "node_3372",
      "content": "INITIAL DESIGN (Trace 489)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 172.03 kg\n  Factor of Safety: 0.51\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": 172.03172238230107,
      "fos_buckling": 0.5105318544753285,
      "fos_yielding": 3.789318735881017,
      "deflection": 0.04203455837490608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3373": {
      "node_id": "node_3373",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 174.42 kg\n  Factor of Safety: 0.62\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": 174.41640469388722,
      "fos_buckling": 0.6177533255504998,
      "fos_yielding": 4.265107187114839,
      "deflection": 0.012681056911241459,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_3372",
      "improvement_over_parent": null
    },
    "node_3374": {
      "node_id": "node_3374",
      "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0101)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 181.34 kg\n  Factor of Safety: 0.62\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": 181.33940336762464,
      "fos_buckling": 0.6171920444833041,
      "fos_yielding": 4.263876471201481,
      "deflection": 0.012476649130381854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.238)"
      },
      "parent_node_id": "node_3373",
      "improvement_over_parent": null
    },
    "node_3375": {
      "node_id": "node_3375",
      "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0101)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 188.56 kg\n  Factor of Safety: 0.62\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": 188.5583986995253,
      "fos_buckling": 0.6166078507908073,
      "fos_yielding": 4.262593891574912,
      "deflection": 0.012296012323084318,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.548)"
      },
      "parent_node_id": "node_3374",
      "improvement_over_parent": null
    },
    "node_3376": {
      "node_id": "node_3376",
      "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0101)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 197.69 kg\n  Factor of Safety: 0.62\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": 197.69064247275801,
      "fos_buckling": 0.6158704109138954,
      "fos_yielding": 4.260972495234458,
      "deflection": 0.011766209681886276,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.524)"
      },
      "parent_node_id": "node_3375",
      "improvement_over_parent": null
    },
    "node_3377": {
      "node_id": "node_3377",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0101)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 230.08 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.86e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 230.0842621128763,
      "fos_buckling": 1.531162569966645,
      "fos_yielding": 4.6676142002603775,
      "deflection": 0.006858538622553522,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)"
      },
      "parent_node_id": "node_3376",
      "improvement_over_parent": null
    },
    "node_3378": {
      "node_id": "node_3378",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3377",
      "improvement_over_parent": null
    },
    "node_3379": {
      "node_id": "node_3379",
      "content": "INITIAL DESIGN (Trace 490)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 206.36 kg\n  Factor of Safety: 1.14\n  Max Deflection: 7.98e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.3551612868848,
      "fos_buckling": 1.1447018475167523,
      "fos_yielding": 3.4537615321726385,
      "deflection": 0.007975467872127096,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3380": {
      "node_id": "node_3380",
      "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 207.94 kg\n  Factor of Safety: 1.53\n  Max Deflection: 7.83e-03 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 207.94016478404112,
      "fos_buckling": 1.5300340998455515,
      "fos_yielding": 4.593766450245047,
      "deflection": 0.007825357309977531,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.623)"
      },
      "parent_node_id": "node_3379",
      "improvement_over_parent": null
    },
    "node_3381": {
      "node_id": "node_3381",
      "content": "MODIFICATION: Increase 9 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 217.41 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.41364340061563,
      "fos_buckling": 1.442836489681461,
      "fos_yielding": 4.516510215996033,
      "deflection": 0.0074769275358831065,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.664)"
      },
      "parent_node_id": "node_3380",
      "improvement_over_parent": null
    },
    "node_3382": {
      "node_id": "node_3382",
      "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63510541954162,
      "fos_buckling": 1.525850275154367,
      "fos_yielding": 4.604277421511305,
      "deflection": 0.006968720125642743,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.621)"
      },
      "parent_node_id": "node_3381",
      "improvement_over_parent": null
    },
    "node_3383": {
      "node_id": "node_3383",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3382",
      "improvement_over_parent": null
    },
    "node_3384": {
      "node_id": "node_3384",
      "content": "INITIAL DESIGN (Trace 491)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n  Mass: 157.65 kg\n  Factor of Safety: 0.50\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": 157.64610847710478,
      "fos_buckling": 0.5017665875002906,
      "fos_yielding": 2.0912543732670077,
      "deflection": 0.015331577479993908,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3385": {
      "node_id": "node_3385",
      "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n  Mass: 159.02 kg\n  Factor of Safety: 0.50\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": 159.0229311549572,
      "fos_buckling": 0.5017665875002907,
      "fos_yielding": 3.1472694919315756,
      "deflection": 0.014758910748550066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.543)"
      },
      "parent_node_id": "node_3384",
      "improvement_over_parent": null
    },
    "node_3386": {
      "node_id": "node_3386",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 185.77 kg\n  Factor of Safety: 1.29\n  Max Deflection: 8.50e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.77126714035455,
      "fos_buckling": 1.292582861340343,
      "fos_yielding": 3.7611467323563423,
      "deflection": 0.008499330420176868,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006525)"
      },
      "parent_node_id": "node_3385",
      "improvement_over_parent": null
    },
    "node_3387": {
      "node_id": "node_3387",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.56 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.56063625157955,
      "fos_buckling": 1.5254926128972472,
      "fos_yielding": 4.600747820289469,
      "deflection": 0.006971187597406508,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_3386",
      "improvement_over_parent": null
    },
    "node_3388": {
      "node_id": "node_3388",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "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 492)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n  Mass: 125.05 kg\n  Factor of Safety: 0.90\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": 125.05304375493944,
      "fos_buckling": 0.8980604438992298,
      "fos_yielding": 2.6364594715018823,
      "deflection": 0.012404614310526321,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3390": {
      "node_id": "node_3390",
      "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n  Mass: 127.31 kg\n  Factor of Safety: 0.92\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": 127.31304886539488,
      "fos_buckling": 0.9152737957312597,
      "fos_yielding": 2.6367966013833994,
      "deflection": 0.012270952461282096,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.192)"
      },
      "parent_node_id": "node_3389",
      "improvement_over_parent": null
    },
    "node_3391": {
      "node_id": "node_3391",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n  Mass: 144.06 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": 144.06140044919542,
      "fos_buckling": 1.023811316234246,
      "fos_yielding": 2.981609627926529,
      "deflection": 0.0108651087300754,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_3390",
      "improvement_over_parent": null
    },
    "node_3392": {
      "node_id": "node_3392",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 160.30 kg\n  Factor of Safety: 1.12\n  Max Deflection: 9.78e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.30455132370986,
      "fos_buckling": 1.123737965173405,
      "fos_yielding": 3.3155557353668654,
      "deflection": 0.009782276990480288,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_3391",
      "improvement_over_parent": null
    },
    "node_3393": {
      "node_id": "node_3393",
      "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n  Mass: 163.58 kg\n  Factor of Safety: 1.16\n  Max Deflection: 9.63e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.57938807356203,
      "fos_buckling": 1.1606298715618033,
      "fos_yielding": 3.3162060541738243,
      "deflection": 0.00962778010138039,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.277)"
      },
      "parent_node_id": "node_3392",
      "improvement_over_parent": null
    },
    "node_3394": {
      "node_id": "node_3394",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 182.90 kg\n  Factor of Safety: 1.28\n  Max Deflection: 8.63e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.9046936872269,
      "fos_buckling": 1.2760710464683092,
      "fos_yielding": 3.7055512410027123,
      "deflection": 0.00862933550602901,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_3393",
      "improvement_over_parent": null
    },
    "node_3395": {
      "node_id": "node_3395",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.39 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.98e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.38954454584857,
      "fos_buckling": 1.5248382047368942,
      "fos_yielding": 4.599844786054705,
      "deflection": 0.006975974299637301,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_3394",
      "improvement_over_parent": null
    },
    "node_3396": {
      "node_id": "node_3396",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3395",
      "improvement_over_parent": null
    },
    "node_3397": {
      "node_id": "node_3397",
      "content": "INITIAL DESIGN (Trace 493)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n  Mass: 179.24 kg\n  Factor of Safety: 1.07\n  Max Deflection: 8.91e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.2426952180148,
      "fos_buckling": 1.0725913140842522,
      "fos_yielding": 3.771910154209164,
      "deflection": 0.008905844293157715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3398": {
      "node_id": "node_3398",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n  Mass: 197.77 kg\n  Factor of Safety: 1.17\n  Max Deflection: 8.09e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.76685633031303,
      "fos_buckling": 1.1699168636406918,
      "fos_yielding": 4.157989888039204,
      "deflection": 0.008087304070283914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_3397",
      "improvement_over_parent": null
    },
    "node_3399": {
      "node_id": "node_3399",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 219.25 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.31e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.2505100237743,
      "fos_buckling": 1.2796377236687309,
      "fos_yielding": 4.604832499639734,
      "deflection": 0.007311177540550568,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_3398",
      "improvement_over_parent": null
    },
    "node_3400": {
      "node_id": "node_3400",
      "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.51 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.51246685827297,
      "fos_buckling": 1.5253790069911002,
      "fos_yielding": 4.601940320959207,
      "deflection": 0.006972562224271802,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.376)"
      },
      "parent_node_id": "node_3399",
      "improvement_over_parent": null
    },
    "node_3401": {
      "node_id": "node_3401",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3400",
      "improvement_over_parent": null
    },
    "node_3402": {
      "node_id": "node_3402",
      "content": "INITIAL DESIGN (Trace 494)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0024)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n  Mass: 121.48 kg\n  Factor of Safety: 0.86\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": 121.47894164885405,
      "fos_buckling": 0.8628455360543688,
      "fos_yielding": 2.5709206731583514,
      "deflection": 0.012827126511561742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3403": {
      "node_id": "node_3403",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 153.41 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.41066852744314,
      "fos_buckling": 1.0596241785985332,
      "fos_yielding": 3.241905324597266,
      "deflection": 0.010194022694779556,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_3402",
      "improvement_over_parent": null
    },
    "node_3404": {
      "node_id": "node_3404",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n  Mass: 188.67 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.32e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.6743192579595,
      "fos_buckling": 1.2627618741299236,
      "fos_yielding": 3.9805027313346426,
      "deflection": 0.008321770383024308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_3403",
      "improvement_over_parent": null
    },
    "node_3405": {
      "node_id": "node_3405",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 218.30 kg\n  Factor of Safety: 1.42\n  Max Deflection: 7.22e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.30398031436079,
      "fos_buckling": 1.4220892167813677,
      "fos_yielding": 4.599105550516028,
      "deflection": 0.007216263403255052,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_3404",
      "improvement_over_parent": null
    },
    "node_3406": {
      "node_id": "node_3406",
      "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.45 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.45148625097443,
      "fos_buckling": 1.525086718146683,
      "fos_yielding": 4.600811254428715,
      "deflection": 0.00697425402425824,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.610)"
      },
      "parent_node_id": "node_3405",
      "improvement_over_parent": null
    },
    "node_3407": {
      "node_id": "node_3407",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3406",
      "improvement_over_parent": null
    },
    "node_3408": {
      "node_id": "node_3408",
      "content": "INITIAL DESIGN (Trace 495)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n  Mass: 131.70 kg\n  Factor of Safety: 0.17\n  Max Deflection: 4.01e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.6981672551373,
      "fos_buckling": 0.16645345252722088,
      "fos_yielding": 0.9137188351054761,
      "deflection": 40109140596006.95,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3409": {
      "node_id": "node_3409",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n  Mass: 157.47 kg\n  Factor of Safety: 0.81\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": 157.4676321371188,
      "fos_buckling": 0.8137529926545193,
      "fos_yielding": 3.6600136981940556,
      "deflection": 0.011052275362633568,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006311)"
      },
      "parent_node_id": "node_3408",
      "improvement_over_parent": null
    },
    "node_3410": {
      "node_id": "node_3410",
      "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n  Mass: 157.95 kg\n  Factor of Safety: 0.81\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": 157.9520990714238,
      "fos_buckling": 0.8136492133384544,
      "fos_yielding": 3.6552644362124127,
      "deflection": 0.011024847579055586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.368)"
      },
      "parent_node_id": "node_3409",
      "improvement_over_parent": null
    },
    "node_3411": {
      "node_id": "node_3411",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n  Mass: 198.59 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.59083301008235,
      "fos_buckling": 0.9812461545102884,
      "fos_yielding": 4.587361599988128,
      "deflection": 0.008814842120443561,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_3410",
      "improvement_over_parent": null
    },
    "node_3412": {
      "node_id": "node_3412",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n\nPerformance:\n  Mass: 213.97 kg\n  Factor of Safety: 1.39\n  Max Deflection: 7.31e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.97472929959883,
      "fos_buckling": 1.3850593920389023,
      "fos_yielding": 4.6011376300257,
      "deflection": 0.00730760591287689,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004162)"
      },
      "parent_node_id": "node_3411",
      "improvement_over_parent": null
    },
    "node_3413": {
      "node_id": "node_3413",
      "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n\nPerformance:\n  Mass: 217.36 kg\n  Factor of Safety: 1.41\n  Max Deflection: 7.25e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.3616511296559,
      "fos_buckling": 1.4068840326858438,
      "fos_yielding": 4.601478330583518,
      "deflection": 0.007252049931481862,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.199)"
      },
      "parent_node_id": "node_3412",
      "improvement_over_parent": null
    },
    "node_3414": {
      "node_id": "node_3414",
      "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0113)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n\nPerformance:\n  Mass: 228.45 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.97e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.44558480376662,
      "fos_buckling": 1.4073676346949455,
      "fos_yielding": 4.652978586122109,
      "deflection": 0.006967297077913813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.387)"
      },
      "parent_node_id": "node_3413",
      "improvement_over_parent": null
    },
    "node_3415": {
      "node_id": "node_3415",
      "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0141)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n\nPerformance:\n  Mass: 237.51 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.81e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.51302311949928,
      "fos_buckling": 1.4071226363185287,
      "fos_yielding": 4.681756845829485,
      "deflection": 0.006812336958043549,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.247)"
      },
      "parent_node_id": "node_3414",
      "improvement_over_parent": null
    },
    "node_3416": {
      "node_id": "node_3416",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3415",
      "improvement_over_parent": null
    },
    "node_3417": {
      "node_id": "node_3417",
      "content": "INITIAL DESIGN (Trace 496)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_3418": {
      "node_id": "node_3418",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n\nPerformance:\n  Mass: 164.13 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.12840082547962,
      "fos_buckling": 0.8438322453707728,
      "fos_yielding": 3.8162342040183317,
      "deflection": 0.010565059513278477,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004425)"
      },
      "parent_node_id": "node_3417",
      "improvement_over_parent": null
    },
    "node_3419": {
      "node_id": "node_3419",
      "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n\nPerformance:\n  Mass: 168.57 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.56793085829455,
      "fos_buckling": 0.8433398375835233,
      "fos_yielding": 3.793296333325281,
      "deflection": 0.010449960146225718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.272)"
      },
      "parent_node_id": "node_3418",
      "improvement_over_parent": null
    },
    "node_3420": {
      "node_id": "node_3420",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n\nPerformance:\n  Mass: 202.88 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.8823563628791,
      "fos_buckling": 0.9809753318879577,
      "fos_yielding": 4.561495921670017,
      "deflection": 0.00871773774114543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_3419",
      "improvement_over_parent": null
    },
    "node_3421": {
      "node_id": "node_3421",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n  Mass: 228.50 kg\n  Factor of Safety: 1.48\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.4988852721737,
      "fos_buckling": 1.4777254967185407,
      "fos_yielding": 4.577375521552315,
      "deflection": 0.006985629973206782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)"
      },
      "parent_node_id": "node_3420",
      "improvement_over_parent": null
    },
    "node_3422": {
      "node_id": "node_3422",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3421",
      "improvement_over_parent": null
    },
    "node_3423": {
      "node_id": "node_3423",
      "content": "INITIAL DESIGN (Trace 497)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0021)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n  Mass: 137.04 kg\n  Factor of Safety: 0.73\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": 137.03611616451082,
      "fos_buckling": 0.7301863293986092,
      "fos_yielding": 2.3248965108913566,
      "deflection": 0.012908112738302144,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3424": {
      "node_id": "node_3424",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0021)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n\nPerformance:\n  Mass: 154.17 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.17124770618906,
      "fos_buckling": 0.8014296831737688,
      "fos_yielding": 2.3358969969049697,
      "deflection": 0.010359972899492984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004716)"
      },
      "parent_node_id": "node_3423",
      "improvement_over_parent": null
    },
    "node_3425": {
      "node_id": "node_3425",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 179.31 kg\n  Factor of Safety: 0.92\n  Max Deflection: 8.93e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.30985796986158,
      "fos_buckling": 0.9236569351288881,
      "fos_yielding": 2.724299115568063,
      "deflection": 0.008931018590160149,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_3424",
      "improvement_over_parent": null
    },
    "node_3426": {
      "node_id": "node_3426",
      "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n  Mass: 180.58 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.74e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.58179156278445,
      "fos_buckling": 1.2623113462584261,
      "fos_yielding": 3.6583239753747954,
      "deflection": 0.008738403502613271,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.621)"
      },
      "parent_node_id": "node_3425",
      "improvement_over_parent": null
    },
    "node_3427": {
      "node_id": "node_3427",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n  Mass: 227.79 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.78712472142604,
      "fos_buckling": 1.5268205662504644,
      "fos_yielding": 4.607265616791601,
      "deflection": 0.006964384372306733,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_3426",
      "improvement_over_parent": null
    },
    "node_3428": {
      "node_id": "node_3428",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3427",
      "improvement_over_parent": null
    },
    "node_3429": {
      "node_id": "node_3429",
      "content": "INITIAL DESIGN (Trace 498)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 207.58 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.5797919671292,
      "fos_buckling": 0.7481856257498248,
      "fos_yielding": 5.035725411258568,
      "deflection": 0.01192207650837022,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3430": {
      "node_id": "node_3430",
      "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n  Mass: 214.15 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.14692747468018,
      "fos_buckling": 0.74881778476693,
      "fos_yielding": 5.033002612613499,
      "deflection": 0.011930260987009677,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.464)"
      },
      "parent_node_id": "node_3429",
      "improvement_over_parent": null
    },
    "node_3431": {
      "node_id": "node_3431",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n  Mass: 216.53 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.53160978626633,
      "fos_buckling": 1.190020533492366,
      "fos_yielding": 4.517091819376915,
      "deflection": 0.007471040693240477,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)"
      },
      "parent_node_id": "node_3430",
      "improvement_over_parent": null
    },
    "node_3432": {
      "node_id": "node_3432",
      "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0059)]\n\nPerformance:\n  Mass: 217.68 kg\n  Factor of Safety: 1.21\n  Max Deflection: 7.37e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.68150319461003,
      "fos_buckling": 1.2060622321947452,
      "fos_yielding": 4.50628502380124,
      "deflection": 0.007370363433995272,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.562)"
      },
      "parent_node_id": "node_3431",
      "improvement_over_parent": null
    },
    "node_3433": {
      "node_id": "node_3433",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3432",
      "improvement_over_parent": null
    },
    "node_3434": {
      "node_id": "node_3434",
      "content": "INITIAL DESIGN (Trace 499)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n  Mass: 156.41 kg\n  Factor of Safety: 1.06\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.41003175476567,
      "fos_buckling": 1.0597250461179373,
      "fos_yielding": 3.252960921879089,
      "deflection": 0.010020520479583097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3435": {
      "node_id": "node_3435",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n  Mass: 176.68 kg\n  Factor of Safety: 1.18\n  Max Deflection: 8.89e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.68230830241336,
      "fos_buckling": 1.1815510421481619,
      "fos_yielding": 3.671369335499285,
      "deflection": 0.008891170566607503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_3434",
      "improvement_over_parent": null
    },
    "node_3436": {
      "node_id": "node_3436",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 222.16 kg\n  Factor of Safety: 1.44\n  Max Deflection: 7.11e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.15576581038994,
      "fos_buckling": 1.4420692706466627,
      "fos_yielding": 4.607154632387228,
      "deflection": 0.007107602887776038,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_3435",
      "improvement_over_parent": null
    },
    "node_3437": {
      "node_id": "node_3437",
      "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.83 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.83083190505232,
      "fos_buckling": 1.5270531480554017,
      "fos_yielding": 4.608241353286375,
      "deflection": 0.006963035765647153,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.379)"
      },
      "parent_node_id": "node_3436",
      "improvement_over_parent": null
    },
    "node_3438": {
      "node_id": "node_3438",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(4.99, 0.00) [free]\n  J2: pos=(9.99, 0.00) [roller]\n  J3: pos=(0.00, 1.78) [free]\n  J4: pos=(4.99, 1.78) [free]\n  J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n  Mass: 227.63 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 227.63103328021523,
      "fos_buckling": 1.52597990831591,
      "fos_yielding": 4.604198848534729,
      "deflection": 0.006969006461851636,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3437",
      "improvement_over_parent": null
    }
  },
  "edges": [
    {
      "from_node": "node_0",
      "to_node": "node_1",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1",
      "to_node": "node_2",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.227)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2",
      "to_node": "node_3",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "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 8 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.242)",
      "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 7 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.639)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_5",
      "to_node": "node_6",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_7",
      "to_node": "node_8",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_8",
      "to_node": "node_9",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.232)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_9",
      "to_node": "node_10",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005865)",
      "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 4 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.259)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_11",
      "to_node": "node_12",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_12",
      "to_node": "node_13",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_13",
      "to_node": "node_14",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.217)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_14",
      "to_node": "node_15",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_16",
      "to_node": "node_17",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_17",
      "to_node": "node_18",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006266)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_18",
      "to_node": "node_19",
      "edge_type": "modification",
      "reasoning": "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_19",
      "to_node": "node_20",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.178)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_20",
      "to_node": "node_21",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_22",
      "to_node": "node_23",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_23",
      "to_node": "node_24",
      "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_24",
      "to_node": "node_25",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006171)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_25",
      "to_node": "node_26",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.372)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_26",
      "to_node": "node_27",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_27",
      "to_node": "node_28",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_29",
      "to_node": "node_30",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_30",
      "to_node": "node_31",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.337)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_31",
      "to_node": "node_32",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.274)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_32",
      "to_node": "node_33",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.504)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_33",
      "to_node": "node_34",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.658)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_34",
      "to_node": "node_35",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.292)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_35",
      "to_node": "node_36",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_37",
      "to_node": "node_38",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_38",
      "to_node": "node_39",
      "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_39",
      "to_node": "node_40",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_40",
      "to_node": "node_41",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_42",
      "to_node": "node_43",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_43",
      "to_node": "node_44",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.372)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_44",
      "to_node": "node_45",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_45",
      "to_node": "node_46",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_46",
      "to_node": "node_47",
      "edge_type": "modification",
      "reasoning": "Increase 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_47",
      "to_node": "node_48",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_49",
      "to_node": "node_50",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_50",
      "to_node": "node_51",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.364)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_51",
      "to_node": "node_52",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.299)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_52",
      "to_node": "node_53",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_54",
      "to_node": "node_55",
      "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_55",
      "to_node": "node_56",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005371)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_56",
      "to_node": "node_57",
      "edge_type": "modification",
      "reasoning": "Increase 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_57",
      "to_node": "node_58",
      "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_58",
      "to_node": "node_59",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.333)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_59",
      "to_node": "node_60",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_61",
      "to_node": "node_62",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.522)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_62",
      "to_node": "node_63",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.247)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_63",
      "to_node": "node_64",
      "edge_type": "modification",
      "reasoning": "Increase 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_64",
      "to_node": "node_65",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_65",
      "to_node": "node_66",
      "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_66",
      "to_node": "node_67",
      "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_67",
      "to_node": "node_68",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_69",
      "to_node": "node_70",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007024)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_70",
      "to_node": "node_71",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005977)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_71",
      "to_node": "node_72",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.361)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_72",
      "to_node": "node_73",
      "edge_type": "modification",
      "reasoning": "Increase 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_73",
      "to_node": "node_74",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_75",
      "to_node": "node_76",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.292)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_76",
      "to_node": "node_77",
      "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_77",
      "to_node": "node_78",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_78",
      "to_node": "node_79",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.661)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_79",
      "to_node": "node_80",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_81",
      "to_node": "node_82",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_82",
      "to_node": "node_83",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.248)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_83",
      "to_node": "node_84",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.359)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_84",
      "to_node": "node_85",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_85",
      "to_node": "node_86",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.238)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_86",
      "to_node": "node_87",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.370)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_87",
      "to_node": "node_88",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_89",
      "to_node": "node_90",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003369)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_90",
      "to_node": "node_91",
      "edge_type": "modification",
      "reasoning": "Increase 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_91",
      "to_node": "node_92",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.560)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_92",
      "to_node": "node_93",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_93",
      "to_node": "node_94",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_94",
      "to_node": "node_95",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_96",
      "to_node": "node_97",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_97",
      "to_node": "node_98",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.493)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_98",
      "to_node": "node_99",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_99",
      "to_node": "node_100",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_100",
      "to_node": "node_101",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_101",
      "to_node": "node_102",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_103",
      "to_node": "node_104",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005023)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_104",
      "to_node": "node_105",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_105",
      "to_node": "node_106",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_106",
      "to_node": "node_107",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007283)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_107",
      "to_node": "node_108",
      "edge_type": "modification",
      "reasoning": "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_108",
      "to_node": "node_109",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_110",
      "to_node": "node_111",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_111",
      "to_node": "node_112",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007231)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_112",
      "to_node": "node_113",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.550)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_113",
      "to_node": "node_114",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_114",
      "to_node": "node_115",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.192)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_115",
      "to_node": "node_116",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.263)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_116",
      "to_node": "node_117",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_118",
      "to_node": "node_119",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_119",
      "to_node": "node_120",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.429)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_120",
      "to_node": "node_121",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_121",
      "to_node": "node_122",
      "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_122",
      "to_node": "node_123",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_124",
      "to_node": "node_125",
      "edge_type": "modification",
      "reasoning": "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_125",
      "to_node": "node_126",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_126",
      "to_node": "node_127",
      "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_127",
      "to_node": "node_128",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_129",
      "to_node": "node_130",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_130",
      "to_node": "node_131",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_131",
      "to_node": "node_132",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_133",
      "to_node": "node_134",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006094)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_134",
      "to_node": "node_135",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_135",
      "to_node": "node_136",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006828)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_136",
      "to_node": "node_137",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.346)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_137",
      "to_node": "node_138",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.192)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_138",
      "to_node": "node_139",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_139",
      "to_node": "node_140",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.272)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_140",
      "to_node": "node_141",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_142",
      "to_node": "node_143",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_143",
      "to_node": "node_144",
      "edge_type": "modification",
      "reasoning": "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_144",
      "to_node": "node_145",
      "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_145",
      "to_node": "node_146",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_146",
      "to_node": "node_147",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_147",
      "to_node": "node_148",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_148",
      "to_node": "node_149",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_150",
      "to_node": "node_151",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_151",
      "to_node": "node_152",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_152",
      "to_node": "node_153",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_153",
      "to_node": "node_154",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_155",
      "to_node": "node_156",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004054)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_156",
      "to_node": "node_157",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_157",
      "to_node": "node_158",
      "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_158",
      "to_node": "node_159",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_159",
      "to_node": "node_160",
      "edge_type": "modification",
      "reasoning": "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_160",
      "to_node": "node_161",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_162",
      "to_node": "node_163",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_163",
      "to_node": "node_164",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006374)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_164",
      "to_node": "node_165",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006311)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_165",
      "to_node": "node_166",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_166",
      "to_node": "node_167",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.256)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_167",
      "to_node": "node_168",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_169",
      "to_node": "node_170",
      "edge_type": "modification",
      "reasoning": "Increase 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_170",
      "to_node": "node_171",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002653)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_171",
      "to_node": "node_172",
      "edge_type": "modification",
      "reasoning": "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_172",
      "to_node": "node_173",
      "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_173",
      "to_node": "node_174",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.379)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_174",
      "to_node": "node_175",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_175",
      "to_node": "node_176",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_176",
      "to_node": "node_177",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_178",
      "to_node": "node_179",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004154)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_179",
      "to_node": "node_180",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.259)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_180",
      "to_node": "node_181",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_181",
      "to_node": "node_182",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_182",
      "to_node": "node_183",
      "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_183",
      "to_node": "node_184",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_184",
      "to_node": "node_185",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.272)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_185",
      "to_node": "node_186",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_187",
      "to_node": "node_188",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003091)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_188",
      "to_node": "node_189",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005566)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_189",
      "to_node": "node_190",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_190",
      "to_node": "node_191",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.449)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_191",
      "to_node": "node_192",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.212)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_192",
      "to_node": "node_193",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.553)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_193",
      "to_node": "node_194",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_195",
      "to_node": "node_196",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_196",
      "to_node": "node_197",
      "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_197",
      "to_node": "node_198",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005707)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_198",
      "to_node": "node_199",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_199",
      "to_node": "node_200",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_201",
      "to_node": "node_202",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004374)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_202",
      "to_node": "node_203",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.195)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_203",
      "to_node": "node_204",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.616)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_204",
      "to_node": "node_205",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_205",
      "to_node": "node_206",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.536)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_206",
      "to_node": "node_207",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_208",
      "to_node": "node_209",
      "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_209",
      "to_node": "node_210",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006904)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_210",
      "to_node": "node_211",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_211",
      "to_node": "node_212",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.572)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_212",
      "to_node": "node_213",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.222)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_213",
      "to_node": "node_214",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_214",
      "to_node": "node_215",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_215",
      "to_node": "node_216",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_217",
      "to_node": "node_218",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_218",
      "to_node": "node_219",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.562)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_219",
      "to_node": "node_220",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.316)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_220",
      "to_node": "node_221",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_221",
      "to_node": "node_222",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.323)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_222",
      "to_node": "node_223",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.481)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_223",
      "to_node": "node_224",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_225",
      "to_node": "node_226",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_226",
      "to_node": "node_227",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002503)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_227",
      "to_node": "node_228",
      "edge_type": "modification",
      "reasoning": "Increase 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_228",
      "to_node": "node_229",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.385)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_229",
      "to_node": "node_230",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005666)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_230",
      "to_node": "node_231",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_231",
      "to_node": "node_232",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_233",
      "to_node": "node_234",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_234",
      "to_node": "node_235",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.550)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_235",
      "to_node": "node_236",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.235)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_236",
      "to_node": "node_237",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_237",
      "to_node": "node_238",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_239",
      "to_node": "node_240",
      "edge_type": "modification",
      "reasoning": "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_240",
      "to_node": "node_241",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004613)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_241",
      "to_node": "node_242",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005507)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_242",
      "to_node": "node_243",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_243",
      "to_node": "node_244",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_244",
      "to_node": "node_245",
      "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_245",
      "to_node": "node_246",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_247",
      "to_node": "node_248",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006176)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_248",
      "to_node": "node_249",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_249",
      "to_node": "node_250",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.553)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_250",
      "to_node": "node_251",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.233)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_251",
      "to_node": "node_252",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_253",
      "to_node": "node_254",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005202)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_254",
      "to_node": "node_255",
      "edge_type": "modification",
      "reasoning": "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_255",
      "to_node": "node_256",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_256",
      "to_node": "node_257",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_258",
      "to_node": "node_259",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.215)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_259",
      "to_node": "node_260",
      "edge_type": "modification",
      "reasoning": "Increase 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_260",
      "to_node": "node_261",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004524)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_261",
      "to_node": "node_262",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004479)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_262",
      "to_node": "node_263",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_263",
      "to_node": "node_264",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.326)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_264",
      "to_node": "node_265",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_265",
      "to_node": "node_266",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_267",
      "to_node": "node_268",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003772)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_268",
      "to_node": "node_269",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006612)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_269",
      "to_node": "node_270",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005823)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_270",
      "to_node": "node_271",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.477)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_271",
      "to_node": "node_272",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005627)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_272",
      "to_node": "node_273",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_273",
      "to_node": "node_274",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_275",
      "to_node": "node_276",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.456)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_276",
      "to_node": "node_277",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004895)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_277",
      "to_node": "node_278",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 67%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.667)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_278",
      "to_node": "node_279",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_279",
      "to_node": "node_280",
      "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_280",
      "to_node": "node_281",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.513)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_281",
      "to_node": "node_282",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.351)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_282",
      "to_node": "node_283",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_284",
      "to_node": "node_285",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_285",
      "to_node": "node_286",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.383)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_286",
      "to_node": "node_287",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.629)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_287",
      "to_node": "node_288",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_288",
      "to_node": "node_289",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_290",
      "to_node": "node_291",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.318)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_291",
      "to_node": "node_292",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.299)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_292",
      "to_node": "node_293",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.449)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_293",
      "to_node": "node_294",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.464)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_294",
      "to_node": "node_295",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_295",
      "to_node": "node_296",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.215)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_296",
      "to_node": "node_297",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_298",
      "to_node": "node_299",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.661)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_299",
      "to_node": "node_300",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_300",
      "to_node": "node_301",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.410)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_301",
      "to_node": "node_302",
      "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_302",
      "to_node": "node_303",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_303",
      "to_node": "node_304",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.272)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_304",
      "to_node": "node_305",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_306",
      "to_node": "node_307",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002414)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_307",
      "to_node": "node_308",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004347)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_308",
      "to_node": "node_309",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.221)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_309",
      "to_node": "node_310",
      "edge_type": "modification",
      "reasoning": "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_310",
      "to_node": "node_311",
      "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_311",
      "to_node": "node_312",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_313",
      "to_node": "node_314",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_314",
      "to_node": "node_315",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_315",
      "to_node": "node_316",
      "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_316",
      "to_node": "node_317",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.595)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_317",
      "to_node": "node_318",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_318",
      "to_node": "node_319",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_320",
      "to_node": "node_321",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005423)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_321",
      "to_node": "node_322",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.626)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_322",
      "to_node": "node_323",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005189)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_323",
      "to_node": "node_324",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.333)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_324",
      "to_node": "node_325",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_325",
      "to_node": "node_326",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_327",
      "to_node": "node_328",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003987)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_328",
      "to_node": "node_329",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_329",
      "to_node": "node_330",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.381)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_330",
      "to_node": "node_331",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_331",
      "to_node": "node_332",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_332",
      "to_node": "node_333",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_334",
      "to_node": "node_335",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006477)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_335",
      "to_node": "node_336",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_336",
      "to_node": "node_337",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_337",
      "to_node": "node_338",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_338",
      "to_node": "node_339",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_339",
      "to_node": "node_340",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_340",
      "to_node": "node_341",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_342",
      "to_node": "node_343",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.002226)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_343",
      "to_node": "node_344",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.001172)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_344",
      "to_node": "node_345",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_345",
      "to_node": "node_346",
      "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_346",
      "to_node": "node_347",
      "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_347",
      "to_node": "node_348",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_348",
      "to_node": "node_349",
      "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_349",
      "to_node": "node_350",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_351",
      "to_node": "node_352",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_352",
      "to_node": "node_353",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004189)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_353",
      "to_node": "node_354",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002304)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_354",
      "to_node": "node_355",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.274)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_355",
      "to_node": "node_356",
      "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_356",
      "to_node": "node_357",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_357",
      "to_node": "node_358",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.372)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_358",
      "to_node": "node_359",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_360",
      "to_node": "node_361",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_361",
      "to_node": "node_362",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_362",
      "to_node": "node_363",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_363",
      "to_node": "node_364",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.202)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_364",
      "to_node": "node_365",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_365",
      "to_node": "node_366",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_367",
      "to_node": "node_368",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005074)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_368",
      "to_node": "node_369",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005963)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_369",
      "to_node": "node_370",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_370",
      "to_node": "node_371",
      "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_371",
      "to_node": "node_372",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003209)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_372",
      "to_node": "node_373",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.181)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_373",
      "to_node": "node_374",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_375",
      "to_node": "node_376",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.003918)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_376",
      "to_node": "node_377",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_377",
      "to_node": "node_378",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_378",
      "to_node": "node_379",
      "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_379",
      "to_node": "node_380",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_380",
      "to_node": "node_381",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_382",
      "to_node": "node_383",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_383",
      "to_node": "node_384",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_384",
      "to_node": "node_385",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_385",
      "to_node": "node_386",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_386",
      "to_node": "node_387",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_388",
      "to_node": "node_389",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006070)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_389",
      "to_node": "node_390",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.276)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_390",
      "to_node": "node_391",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.185)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_391",
      "to_node": "node_392",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.214)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_392",
      "to_node": "node_393",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_394",
      "to_node": "node_395",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006425)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_395",
      "to_node": "node_396",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003381)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_396",
      "to_node": "node_397",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.558)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_397",
      "to_node": "node_398",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.538)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_398",
      "to_node": "node_399",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_399",
      "to_node": "node_400",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_401",
      "to_node": "node_402",
      "edge_type": "modification",
      "reasoning": "Increase 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_402",
      "to_node": "node_403",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_403",
      "to_node": "node_404",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_404",
      "to_node": "node_405",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_405",
      "to_node": "node_406",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_407",
      "to_node": "node_408",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_408",
      "to_node": "node_409",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_409",
      "to_node": "node_410",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_410",
      "to_node": "node_411",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_412",
      "to_node": "node_413",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.572)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_413",
      "to_node": "node_414",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005133)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_414",
      "to_node": "node_415",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005103)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_415",
      "to_node": "node_416",
      "edge_type": "modification",
      "reasoning": "Increase 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_416",
      "to_node": "node_417",
      "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_417",
      "to_node": "node_418",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_418",
      "to_node": "node_419",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_420",
      "to_node": "node_421",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005112)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_421",
      "to_node": "node_422",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_422",
      "to_node": "node_423",
      "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_423",
      "to_node": "node_424",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_424",
      "to_node": "node_425",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_425",
      "to_node": "node_426",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_426",
      "to_node": "node_427",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_428",
      "to_node": "node_429",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.284)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_429",
      "to_node": "node_430",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.645)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_430",
      "to_node": "node_431",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_431",
      "to_node": "node_432",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_432",
      "to_node": "node_433",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_434",
      "to_node": "node_435",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.002992)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_435",
      "to_node": "node_436",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_436",
      "to_node": "node_437",
      "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_437",
      "to_node": "node_438",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005509)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_438",
      "to_node": "node_439",
      "edge_type": "modification",
      "reasoning": "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_439",
      "to_node": "node_440",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_441",
      "to_node": "node_442",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_442",
      "to_node": "node_443",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.543)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_443",
      "to_node": "node_444",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.406)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_444",
      "to_node": "node_445",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.285)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_445",
      "to_node": "node_446",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_446",
      "to_node": "node_447",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_448",
      "to_node": "node_449",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.661)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_449",
      "to_node": "node_450",
      "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_450",
      "to_node": "node_451",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_451",
      "to_node": "node_452",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_453",
      "to_node": "node_454",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006121)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_454",
      "to_node": "node_455",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_455",
      "to_node": "node_456",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_456",
      "to_node": "node_457",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_458",
      "to_node": "node_459",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.003754)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_459",
      "to_node": "node_460",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_460",
      "to_node": "node_461",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003985)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_461",
      "to_node": "node_462",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.481)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_462",
      "to_node": "node_463",
      "edge_type": "modification",
      "reasoning": "Increase 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_463",
      "to_node": "node_464",
      "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_464",
      "to_node": "node_465",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_466",
      "to_node": "node_467",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.433)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_467",
      "to_node": "node_468",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.420)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_468",
      "to_node": "node_469",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.391)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_469",
      "to_node": "node_470",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_470",
      "to_node": "node_471",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_471",
      "to_node": "node_472",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.587)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_472",
      "to_node": "node_473",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_474",
      "to_node": "node_475",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006105)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_475",
      "to_node": "node_476",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005344)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_476",
      "to_node": "node_477",
      "edge_type": "modification",
      "reasoning": "Increase 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_477",
      "to_node": "node_478",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.185)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_478",
      "to_node": "node_479",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_480",
      "to_node": "node_481",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004421)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_481",
      "to_node": "node_482",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_482",
      "to_node": "node_483",
      "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_483",
      "to_node": "node_484",
      "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_484",
      "to_node": "node_485",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_486",
      "to_node": "node_487",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.003762)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_487",
      "to_node": "node_488",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.285)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_488",
      "to_node": "node_489",
      "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_489",
      "to_node": "node_490",
      "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_490",
      "to_node": "node_491",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_491",
      "to_node": "node_492",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_492",
      "to_node": "node_493",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_493",
      "to_node": "node_494",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_495",
      "to_node": "node_496",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005263)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_496",
      "to_node": "node_497",
      "edge_type": "modification",
      "reasoning": "Increase 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_497",
      "to_node": "node_498",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_498",
      "to_node": "node_499",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005228)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_499",
      "to_node": "node_500",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005410)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_500",
      "to_node": "node_501",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_501",
      "to_node": "node_502",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_502",
      "to_node": "node_503",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_504",
      "to_node": "node_505",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005452)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_505",
      "to_node": "node_506",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.449)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_506",
      "to_node": "node_507",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_507",
      "to_node": "node_508",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.353)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_508",
      "to_node": "node_509",
      "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_509",
      "to_node": "node_510",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_510",
      "to_node": "node_511",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_511",
      "to_node": "node_512",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_513",
      "to_node": "node_514",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.524)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_514",
      "to_node": "node_515",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006019)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_515",
      "to_node": "node_516",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006078)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_516",
      "to_node": "node_517",
      "edge_type": "modification",
      "reasoning": "Increase 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_517",
      "to_node": "node_518",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_519",
      "to_node": "node_520",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.250)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_520",
      "to_node": "node_521",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_521",
      "to_node": "node_522",
      "edge_type": "modification",
      "reasoning": "Increase 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_522",
      "to_node": "node_523",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_523",
      "to_node": "node_524",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.269)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_524",
      "to_node": "node_525",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_525",
      "to_node": "node_526",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_527",
      "to_node": "node_528",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_528",
      "to_node": "node_529",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.626)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_529",
      "to_node": "node_530",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.416)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_530",
      "to_node": "node_531",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.263)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_531",
      "to_node": "node_532",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005308)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_532",
      "to_node": "node_533",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006300)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_533",
      "to_node": "node_534",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_534",
      "to_node": "node_535",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_536",
      "to_node": "node_537",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.309)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_537",
      "to_node": "node_538",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.600)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_538",
      "to_node": "node_539",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_539",
      "to_node": "node_540",
      "edge_type": "modification",
      "reasoning": "Increase 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_540",
      "to_node": "node_541",
      "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_541",
      "to_node": "node_542",
      "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_542",
      "to_node": "node_543",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.179)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_543",
      "to_node": "node_544",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_545",
      "to_node": "node_546",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.546)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_546",
      "to_node": "node_547",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_547",
      "to_node": "node_548",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.299)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_548",
      "to_node": "node_549",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_549",
      "to_node": "node_550",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_551",
      "to_node": "node_552",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_552",
      "to_node": "node_553",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.408)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_553",
      "to_node": "node_554",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_554",
      "to_node": "node_555",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_556",
      "to_node": "node_557",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.546)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_557",
      "to_node": "node_558",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_558",
      "to_node": "node_559",
      "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_559",
      "to_node": "node_560",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_561",
      "to_node": "node_562",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.381)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_562",
      "to_node": "node_563",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005861)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_563",
      "to_node": "node_564",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_564",
      "to_node": "node_565",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_565",
      "to_node": "node_566",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_567",
      "to_node": "node_568",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.342)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_568",
      "to_node": "node_569",
      "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_569",
      "to_node": "node_570",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_570",
      "to_node": "node_571",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_572",
      "to_node": "node_573",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.003924)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_573",
      "to_node": "node_574",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_574",
      "to_node": "node_575",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.277)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_575",
      "to_node": "node_576",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_576",
      "to_node": "node_577",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_577",
      "to_node": "node_578",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_579",
      "to_node": "node_580",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005258)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_580",
      "to_node": "node_581",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.511)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_581",
      "to_node": "node_582",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002461)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_582",
      "to_node": "node_583",
      "edge_type": "modification",
      "reasoning": "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_583",
      "to_node": "node_584",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005413)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_584",
      "to_node": "node_585",
      "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_585",
      "to_node": "node_586",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.351)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_586",
      "to_node": "node_587",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_588",
      "to_node": "node_589",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_589",
      "to_node": "node_590",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_590",
      "to_node": "node_591",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004973)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_591",
      "to_node": "node_592",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_592",
      "to_node": "node_593",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.385)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_593",
      "to_node": "node_594",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_595",
      "to_node": "node_596",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_596",
      "to_node": "node_597",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.256)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_597",
      "to_node": "node_598",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.211)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_598",
      "to_node": "node_599",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_600",
      "to_node": "node_601",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004354)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_601",
      "to_node": "node_602",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.368)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_602",
      "to_node": "node_603",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.351)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_603",
      "to_node": "node_604",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.565)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_604",
      "to_node": "node_605",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006211)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_605",
      "to_node": "node_606",
      "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_606",
      "to_node": "node_607",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_607",
      "to_node": "node_608",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_609",
      "to_node": "node_610",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_610",
      "to_node": "node_611",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006107)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_611",
      "to_node": "node_612",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_612",
      "to_node": "node_613",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.304)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_613",
      "to_node": "node_614",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_615",
      "to_node": "node_616",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_616",
      "to_node": "node_617",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_617",
      "to_node": "node_618",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.397)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_618",
      "to_node": "node_619",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_620",
      "to_node": "node_621",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006007)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_621",
      "to_node": "node_622",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.206)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_622",
      "to_node": "node_623",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_623",
      "to_node": "node_624",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_625",
      "to_node": "node_626",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_626",
      "to_node": "node_627",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_627",
      "to_node": "node_628",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.629)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_628",
      "to_node": "node_629",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_630",
      "to_node": "node_631",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.326)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_631",
      "to_node": "node_632",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006251)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_632",
      "to_node": "node_633",
      "edge_type": "modification",
      "reasoning": "Increase 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_633",
      "to_node": "node_634",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_635",
      "to_node": "node_636",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.493)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_636",
      "to_node": "node_637",
      "edge_type": "modification",
      "reasoning": "Increase 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_637",
      "to_node": "node_638",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.383)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_638",
      "to_node": "node_639",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_640",
      "to_node": "node_641",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.527)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_641",
      "to_node": "node_642",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_642",
      "to_node": "node_643",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_643",
      "to_node": "node_644",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.364)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_644",
      "to_node": "node_645",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.188)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_645",
      "to_node": "node_646",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.188)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_646",
      "to_node": "node_647",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.314)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_647",
      "to_node": "node_648",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_649",
      "to_node": "node_650",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.212)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_650",
      "to_node": "node_651",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006177)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_651",
      "to_node": "node_652",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.393)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_652",
      "to_node": "node_653",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_653",
      "to_node": "node_654",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_655",
      "to_node": "node_656",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.580)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_656",
      "to_node": "node_657",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.186)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_657",
      "to_node": "node_658",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.401)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_658",
      "to_node": "node_659",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_659",
      "to_node": "node_660",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_661",
      "to_node": "node_662",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004487)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_662",
      "to_node": "node_663",
      "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_663",
      "to_node": "node_664",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.195)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_664",
      "to_node": "node_665",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_666",
      "to_node": "node_667",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_667",
      "to_node": "node_668",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_668",
      "to_node": "node_669",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.527)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_669",
      "to_node": "node_670",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.553)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_670",
      "to_node": "node_671",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.437)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_671",
      "to_node": "node_672",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_672",
      "to_node": "node_673",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_674",
      "to_node": "node_675",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_675",
      "to_node": "node_676",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "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": "Increase 2 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.248)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_677",
      "to_node": "node_678",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_678",
      "to_node": "node_679",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_680",
      "to_node": "node_681",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_681",
      "to_node": "node_682",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_682",
      "to_node": "node_683",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_683",
      "to_node": "node_684",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_684",
      "to_node": "node_685",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_685",
      "to_node": "node_686",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_687",
      "to_node": "node_688",
      "edge_type": "modification",
      "reasoning": "Increase 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_688",
      "to_node": "node_689",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_689",
      "to_node": "node_690",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_690",
      "to_node": "node_691",
      "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_691",
      "to_node": "node_692",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_693",
      "to_node": "node_694",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006946)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_694",
      "to_node": "node_695",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.520)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_695",
      "to_node": "node_696",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_696",
      "to_node": "node_697",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.242)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_697",
      "to_node": "node_698",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_698",
      "to_node": "node_699",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_700",
      "to_node": "node_701",
      "edge_type": "modification",
      "reasoning": "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_701",
      "to_node": "node_702",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_702",
      "to_node": "node_703",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.508)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_703",
      "to_node": "node_704",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_704",
      "to_node": "node_705",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.441)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_705",
      "to_node": "node_706",
      "edge_type": "modification",
      "reasoning": "Increase 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_706",
      "to_node": "node_707",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_707",
      "to_node": "node_708",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_709",
      "to_node": "node_710",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.577)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_710",
      "to_node": "node_711",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005696)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_711",
      "to_node": "node_712",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.339)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_712",
      "to_node": "node_713",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.527)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_713",
      "to_node": "node_714",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_714",
      "to_node": "node_715",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_715",
      "to_node": "node_716",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_717",
      "to_node": "node_718",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.634)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_718",
      "to_node": "node_719",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_719",
      "to_node": "node_720",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.274)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_720",
      "to_node": "node_721",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_721",
      "to_node": "node_722",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_722",
      "to_node": "node_723",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_723",
      "to_node": "node_724",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_725",
      "to_node": "node_726",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002948)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_726",
      "to_node": "node_727",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.460)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_727",
      "to_node": "node_728",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.508)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_728",
      "to_node": "node_729",
      "edge_type": "modification",
      "reasoning": "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_729",
      "to_node": "node_730",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.199)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_730",
      "to_node": "node_731",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_731",
      "to_node": "node_732",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_733",
      "to_node": "node_734",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_734",
      "to_node": "node_735",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.529)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_735",
      "to_node": "node_736",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_736",
      "to_node": "node_737",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_738",
      "to_node": "node_739",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003850)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_739",
      "to_node": "node_740",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_740",
      "to_node": "node_741",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_741",
      "to_node": "node_742",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.572)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_742",
      "to_node": "node_743",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.299)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_743",
      "to_node": "node_744",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_744",
      "to_node": "node_745",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_745",
      "to_node": "node_746",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_747",
      "to_node": "node_748",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.412)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_748",
      "to_node": "node_749",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_749",
      "to_node": "node_750",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006723)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_750",
      "to_node": "node_751",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006683)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_751",
      "to_node": "node_752",
      "edge_type": "modification",
      "reasoning": "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_752",
      "to_node": "node_753",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.464)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_753",
      "to_node": "node_754",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.377)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_754",
      "to_node": "node_755",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_756",
      "to_node": "node_757",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002331)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_757",
      "to_node": "node_758",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004429)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_758",
      "to_node": "node_759",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004980)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_759",
      "to_node": "node_760",
      "edge_type": "modification",
      "reasoning": "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_760",
      "to_node": "node_761",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_761",
      "to_node": "node_762",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.623)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_762",
      "to_node": "node_763",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.493)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_763",
      "to_node": "node_764",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_765",
      "to_node": "node_766",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.333)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_766",
      "to_node": "node_767",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.422)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_767",
      "to_node": "node_768",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.312)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_768",
      "to_node": "node_769",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_769",
      "to_node": "node_770",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_771",
      "to_node": "node_772",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_772",
      "to_node": "node_773",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_773",
      "to_node": "node_774",
      "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,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_774",
      "to_node": "node_775",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.222)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_775",
      "to_node": "node_776",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_777",
      "to_node": "node_778",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005800)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_778",
      "to_node": "node_779",
      "edge_type": "modification",
      "reasoning": "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_779",
      "to_node": "node_780",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_780",
      "to_node": "node_781",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.188)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_781",
      "to_node": "node_782",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_782",
      "to_node": "node_783",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_784",
      "to_node": "node_785",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_785",
      "to_node": "node_786",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006393)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_786",
      "to_node": "node_787",
      "edge_type": "modification",
      "reasoning": "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_787",
      "to_node": "node_788",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_789",
      "to_node": "node_790",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003914)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_790",
      "to_node": "node_791",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004090)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_791",
      "to_node": "node_792",
      "edge_type": "modification",
      "reasoning": "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_792",
      "to_node": "node_793",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.192)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_793",
      "to_node": "node_794",
      "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_794",
      "to_node": "node_795",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_795",
      "to_node": "node_796",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.517)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_796",
      "to_node": "node_797",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_798",
      "to_node": "node_799",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_799",
      "to_node": "node_800",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.645)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_800",
      "to_node": "node_801",
      "edge_type": "modification",
      "reasoning": "Increase 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_801",
      "to_node": "node_802",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.256)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_802",
      "to_node": "node_803",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.299)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_803",
      "to_node": "node_804",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_804",
      "to_node": "node_805",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_806",
      "to_node": "node_807",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_807",
      "to_node": "node_808",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.239)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_808",
      "to_node": "node_809",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_809",
      "to_node": "node_810",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.420)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_810",
      "to_node": "node_811",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_811",
      "to_node": "node_812",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_813",
      "to_node": "node_814",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005609)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_814",
      "to_node": "node_815",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006308)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_815",
      "to_node": "node_816",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005315)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_816",
      "to_node": "node_817",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005368)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_817",
      "to_node": "node_818",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_818",
      "to_node": "node_819",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_820",
      "to_node": "node_821",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.497)",
      "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 6 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.200)",
      "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": "Increase 9 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.548)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_823",
      "to_node": "node_824",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.522)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_824",
      "to_node": "node_825",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003057)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_825",
      "to_node": "node_826",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_826",
      "to_node": "node_827",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_828",
      "to_node": "node_829",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.401)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_829",
      "to_node": "node_830",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_830",
      "to_node": "node_831",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.567)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_831",
      "to_node": "node_832",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_833",
      "to_node": "node_834",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003005)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_834",
      "to_node": "node_835",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002067)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_835",
      "to_node": "node_836",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_836",
      "to_node": "node_837",
      "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_837",
      "to_node": "node_838",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006841)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_838",
      "to_node": "node_839",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.250)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_839",
      "to_node": "node_840",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_840",
      "to_node": "node_841",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_842",
      "to_node": "node_843",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_843",
      "to_node": "node_844",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.271)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_844",
      "to_node": "node_845",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_845",
      "to_node": "node_846",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_846",
      "to_node": "node_847",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_847",
      "to_node": "node_848",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "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": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_851",
      "to_node": "node_852",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_853",
      "to_node": "node_854",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.003360)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_854",
      "to_node": "node_855",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_855",
      "to_node": "node_856",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.543)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_856",
      "to_node": "node_857",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.350)",
      "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 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005718)",
      "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 all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_859",
      "to_node": "node_860",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_861",
      "to_node": "node_862",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004215)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_862",
      "to_node": "node_863",
      "edge_type": "modification",
      "reasoning": "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_863",
      "to_node": "node_864",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004705)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_864",
      "to_node": "node_865",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_865",
      "to_node": "node_866",
      "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_866",
      "to_node": "node_867",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.600)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_867",
      "to_node": "node_868",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.490)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_868",
      "to_node": "node_869",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_870",
      "to_node": "node_871",
      "edge_type": "modification",
      "reasoning": "Increase 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_871",
      "to_node": "node_872",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.517)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_872",
      "to_node": "node_873",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_873",
      "to_node": "node_874",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_874",
      "to_node": "node_875",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_876",
      "to_node": "node_877",
      "edge_type": "modification",
      "reasoning": "Increase 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_877",
      "to_node": "node_878",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004658)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_878",
      "to_node": "node_879",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.631)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_879",
      "to_node": "node_880",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_880",
      "to_node": "node_881",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003382)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_881",
      "to_node": "node_882",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_882",
      "to_node": "node_883",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_883",
      "to_node": "node_884",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_885",
      "to_node": "node_886",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.401)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_886",
      "to_node": "node_887",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006116)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_887",
      "to_node": "node_888",
      "edge_type": "modification",
      "reasoning": "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_888",
      "to_node": "node_889",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.575)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_889",
      "to_node": "node_890",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_891",
      "to_node": "node_892",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.511)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_892",
      "to_node": "node_893",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_893",
      "to_node": "node_894",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_894",
      "to_node": "node_895",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_896",
      "to_node": "node_897",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.404)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_897",
      "to_node": "node_898",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_898",
      "to_node": "node_899",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.570)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_899",
      "to_node": "node_900",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_900",
      "to_node": "node_901",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_901",
      "to_node": "node_902",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_903",
      "to_node": "node_904",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_904",
      "to_node": "node_905",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_905",
      "to_node": "node_906",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.212)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_906",
      "to_node": "node_907",
      "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_907",
      "to_node": "node_908",
      "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_908",
      "to_node": "node_909",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_910",
      "to_node": "node_911",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_911",
      "to_node": "node_912",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_912",
      "to_node": "node_913",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_914",
      "to_node": "node_915",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004228)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_915",
      "to_node": "node_916",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_916",
      "to_node": "node_917",
      "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_917",
      "to_node": "node_918",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_919",
      "to_node": "node_920",
      "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_920",
      "to_node": "node_921",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_921",
      "to_node": "node_922",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006107)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_922",
      "to_node": "node_923",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_923",
      "to_node": "node_924",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.529)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_924",
      "to_node": "node_925",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_926",
      "to_node": "node_927",
      "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_927",
      "to_node": "node_928",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.393)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_928",
      "to_node": "node_929",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004279)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_929",
      "to_node": "node_930",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_930",
      "to_node": "node_931",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.208)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_931",
      "to_node": "node_932",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.592)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_932",
      "to_node": "node_933",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.250)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_933",
      "to_node": "node_934",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_935",
      "to_node": "node_936",
      "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_936",
      "to_node": "node_937",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_937",
      "to_node": "node_938",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_938",
      "to_node": "node_939",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.590)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_939",
      "to_node": "node_940",
      "edge_type": "modification",
      "reasoning": "Increase 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,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_940",
      "to_node": "node_941",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_941",
      "to_node": "node_942",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_943",
      "to_node": "node_944",
      "edge_type": "modification",
      "reasoning": "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_944",
      "to_node": "node_945",
      "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_945",
      "to_node": "node_946",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_946",
      "to_node": "node_947",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005887)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_947",
      "to_node": "node_948",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_948",
      "to_node": "node_949",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_950",
      "to_node": "node_951",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002360)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_951",
      "to_node": "node_952",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.524)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_952",
      "to_node": "node_953",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004248)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_953",
      "to_node": "node_954",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_954",
      "to_node": "node_955",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005728)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_955",
      "to_node": "node_956",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_956",
      "to_node": "node_957",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_957",
      "to_node": "node_958",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_959",
      "to_node": "node_960",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.458)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_960",
      "to_node": "node_961",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.176)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_961",
      "to_node": "node_962",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.418)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_962",
      "to_node": "node_963",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.451)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_963",
      "to_node": "node_964",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_965",
      "to_node": "node_966",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_966",
      "to_node": "node_967",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_967",
      "to_node": "node_968",
      "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_968",
      "to_node": "node_969",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_970",
      "to_node": "node_971",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_971",
      "to_node": "node_972",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_972",
      "to_node": "node_973",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006833)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_973",
      "to_node": "node_974",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_974",
      "to_node": "node_975",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.484)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_975",
      "to_node": "node_976",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.445)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_976",
      "to_node": "node_977",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_978",
      "to_node": "node_979",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004963)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_979",
      "to_node": "node_980",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_980",
      "to_node": "node_981",
      "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_981",
      "to_node": "node_982",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_982",
      "to_node": "node_983",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.439)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_983",
      "to_node": "node_984",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_985",
      "to_node": "node_986",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.235)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_986",
      "to_node": "node_987",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_987",
      "to_node": "node_988",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.585)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_988",
      "to_node": "node_989",
      "edge_type": "modification",
      "reasoning": "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
    },
    {
      "from_node": "node_989",
      "to_node": "node_990",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_991",
      "to_node": "node_992",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005549)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_992",
      "to_node": "node_993",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_993",
      "to_node": "node_994",
      "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,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_994",
      "to_node": "node_995",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_995",
      "to_node": "node_996",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_996",
      "to_node": "node_997",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_998",
      "to_node": "node_999",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_999",
      "to_node": "node_1000",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1000",
      "to_node": "node_1001",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1001",
      "to_node": "node_1002",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.541)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1002",
      "to_node": "node_1003",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.565)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1003",
      "to_node": "node_1004",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1005",
      "to_node": "node_1006",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1006",
      "to_node": "node_1007",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.276)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1007",
      "to_node": "node_1008",
      "edge_type": "modification",
      "reasoning": "Increase 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_1008",
      "to_node": "node_1009",
      "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_1009",
      "to_node": "node_1010",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1010",
      "to_node": "node_1011",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1012",
      "to_node": "node_1013",
      "edge_type": "modification",
      "reasoning": "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_1013",
      "to_node": "node_1014",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1014",
      "to_node": "node_1015",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.570)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1015",
      "to_node": "node_1016",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1016",
      "to_node": "node_1017",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.515)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1017",
      "to_node": "node_1018",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.383)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1018",
      "to_node": "node_1019",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1020",
      "to_node": "node_1021",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.178)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1021",
      "to_node": "node_1022",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.274)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1022",
      "to_node": "node_1023",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.364)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1023",
      "to_node": "node_1024",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1025",
      "to_node": "node_1026",
      "edge_type": "modification",
      "reasoning": "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_1026",
      "to_node": "node_1027",
      "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_1027",
      "to_node": "node_1028",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1028",
      "to_node": "node_1029",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.422)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1029",
      "to_node": "node_1030",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1030",
      "to_node": "node_1031",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.321)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1031",
      "to_node": "node_1032",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1033",
      "to_node": "node_1034",
      "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_1034",
      "to_node": "node_1035",
      "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_1035",
      "to_node": "node_1036",
      "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_1036",
      "to_node": "node_1037",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1037",
      "to_node": "node_1038",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1039",
      "to_node": "node_1040",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1040",
      "to_node": "node_1041",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.433)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1041",
      "to_node": "node_1042",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1042",
      "to_node": "node_1043",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1043",
      "to_node": "node_1044",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1044",
      "to_node": "node_1045",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1045",
      "to_node": "node_1046",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1047",
      "to_node": "node_1048",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.488)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1048",
      "to_node": "node_1049",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.397)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1049",
      "to_node": "node_1050",
      "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_1050",
      "to_node": "node_1051",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1051",
      "to_node": "node_1052",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1052",
      "to_node": "node_1053",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1053",
      "to_node": "node_1054",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1054",
      "to_node": "node_1055",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1056",
      "to_node": "node_1057",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.597)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1057",
      "to_node": "node_1058",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.460)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1058",
      "to_node": "node_1059",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005654)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1059",
      "to_node": "node_1060",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1060",
      "to_node": "node_1061",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006987)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1061",
      "to_node": "node_1062",
      "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_1062",
      "to_node": "node_1063",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1064",
      "to_node": "node_1065",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006037)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1065",
      "to_node": "node_1066",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006248)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1066",
      "to_node": "node_1067",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003321)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1067",
      "to_node": "node_1068",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007095)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1068",
      "to_node": "node_1069",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1069",
      "to_node": "node_1070",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1071",
      "to_node": "node_1072",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005606)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1072",
      "to_node": "node_1073",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1073",
      "to_node": "node_1074",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1074",
      "to_node": "node_1075",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.637)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1075",
      "to_node": "node_1076",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.538)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1076",
      "to_node": "node_1077",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1078",
      "to_node": "node_1079",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002427)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1079",
      "to_node": "node_1080",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.404)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1080",
      "to_node": "node_1081",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1081",
      "to_node": "node_1082",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.247)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1082",
      "to_node": "node_1083",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.383)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1083",
      "to_node": "node_1084",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1085",
      "to_node": "node_1086",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1086",
      "to_node": "node_1087",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002100)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1087",
      "to_node": "node_1088",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.406)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1088",
      "to_node": "node_1089",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.282)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1089",
      "to_node": "node_1090",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.488)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1090",
      "to_node": "node_1091",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1091",
      "to_node": "node_1092",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1093",
      "to_node": "node_1094",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1094",
      "to_node": "node_1095",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1095",
      "to_node": "node_1096",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1096",
      "to_node": "node_1097",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.292)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1097",
      "to_node": "node_1098",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1099",
      "to_node": "node_1100",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.176)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1100",
      "to_node": "node_1101",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002366)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1101",
      "to_node": "node_1102",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1102",
      "to_node": "node_1103",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1103",
      "to_node": "node_1104",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1105",
      "to_node": "node_1106",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006529)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1106",
      "to_node": "node_1107",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.239)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1107",
      "to_node": "node_1108",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1108",
      "to_node": "node_1109",
      "edge_type": "modification",
      "reasoning": "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_1109",
      "to_node": "node_1110",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "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": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1111",
      "to_node": "node_1112",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1113",
      "to_node": "node_1114",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1114",
      "to_node": "node_1115",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002638)",
      "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 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_1116",
      "to_node": "node_1117",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1117",
      "to_node": "node_1118",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.590)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1120",
      "to_node": "node_1121",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1121",
      "to_node": "node_1122",
      "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_1122",
      "to_node": "node_1123",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1123",
      "to_node": "node_1124",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.637)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1124",
      "to_node": "node_1125",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1125",
      "to_node": "node_1126",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006401)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1128",
      "to_node": "node_1129",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.326)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1129",
      "to_node": "node_1130",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007312)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1130",
      "to_node": "node_1131",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1131",
      "to_node": "node_1132",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "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": "Increase 3 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.546)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1133",
      "to_node": "node_1134",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1136",
      "to_node": "node_1137",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1137",
      "to_node": "node_1138",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1139",
      "to_node": "node_1140",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005784)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1140",
      "to_node": "node_1141",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006607)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1141",
      "to_node": "node_1142",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005535)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1142",
      "to_node": "node_1143",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.441)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1143",
      "to_node": "node_1144",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1144",
      "to_node": "node_1145",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.460)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1145",
      "to_node": "node_1146",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006136)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1148",
      "to_node": "node_1149",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1149",
      "to_node": "node_1150",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006882)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1150",
      "to_node": "node_1151",
      "edge_type": "modification",
      "reasoning": "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_1151",
      "to_node": "node_1152",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1154",
      "to_node": "node_1155",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.462)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1155",
      "to_node": "node_1156",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1156",
      "to_node": "node_1157",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.585)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1157",
      "to_node": "node_1158",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1158",
      "to_node": "node_1159",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1159",
      "to_node": "node_1160",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1161",
      "to_node": "node_1162",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005193)",
      "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": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1163",
      "to_node": "node_1164",
      "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_1164",
      "to_node": "node_1165",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1166",
      "to_node": "node_1167",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.314)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1167",
      "to_node": "node_1168",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1168",
      "to_node": "node_1169",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1169",
      "to_node": "node_1170",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1171",
      "to_node": "node_1172",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005554)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1172",
      "to_node": "node_1173",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003085)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1173",
      "to_node": "node_1174",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004071)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1174",
      "to_node": "node_1175",
      "edge_type": "modification",
      "reasoning": "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_1175",
      "to_node": "node_1176",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.439)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1176",
      "to_node": "node_1177",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1177",
      "to_node": "node_1178",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1179",
      "to_node": "node_1180",
      "edge_type": "modification",
      "reasoning": "Increase 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_1180",
      "to_node": "node_1181",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1181",
      "to_node": "node_1182",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.256)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1182",
      "to_node": "node_1183",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1184",
      "to_node": "node_1185",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003850)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1185",
      "to_node": "node_1186",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1186",
      "to_node": "node_1187",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005084)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1187",
      "to_node": "node_1188",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1188",
      "to_node": "node_1189",
      "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_1189",
      "to_node": "node_1190",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1190",
      "to_node": "node_1191",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1192",
      "to_node": "node_1193",
      "edge_type": "modification",
      "reasoning": "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_1193",
      "to_node": "node_1194",
      "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_1194",
      "to_node": "node_1195",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1195",
      "to_node": "node_1196",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1197",
      "to_node": "node_1198",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1198",
      "to_node": "node_1199",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006855)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1199",
      "to_node": "node_1200",
      "edge_type": "modification",
      "reasoning": "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_1200",
      "to_node": "node_1201",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.342)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1201",
      "to_node": "node_1202",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.621)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1202",
      "to_node": "node_1203",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1204",
      "to_node": "node_1205",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1205",
      "to_node": "node_1206",
      "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_1206",
      "to_node": "node_1207",
      "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,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1207",
      "to_node": "node_1208",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1209",
      "to_node": "node_1210",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006846)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1210",
      "to_node": "node_1211",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006052)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1211",
      "to_node": "node_1212",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.484)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1212",
      "to_node": "node_1213",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006806)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1213",
      "to_node": "node_1214",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1214",
      "to_node": "node_1215",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1216",
      "to_node": "node_1217",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.582)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1217",
      "to_node": "node_1218",
      "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_1218",
      "to_node": "node_1219",
      "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_1219",
      "to_node": "node_1220",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.200)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1220",
      "to_node": "node_1221",
      "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_1221",
      "to_node": "node_1222",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1223",
      "to_node": "node_1224",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.429)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1224",
      "to_node": "node_1225",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1225",
      "to_node": "node_1226",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1226",
      "to_node": "node_1227",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.381)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1227",
      "to_node": "node_1228",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.259)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1228",
      "to_node": "node_1229",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.263)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1229",
      "to_node": "node_1230",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1231",
      "to_node": "node_1232",
      "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_1232",
      "to_node": "node_1233",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.538)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1233",
      "to_node": "node_1234",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1234",
      "to_node": "node_1235",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.658)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1235",
      "to_node": "node_1236",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1236",
      "to_node": "node_1237",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1238",
      "to_node": "node_1239",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1239",
      "to_node": "node_1240",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.567)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1240",
      "to_node": "node_1241",
      "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_1241",
      "to_node": "node_1242",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.393)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1242",
      "to_node": "node_1243",
      "edge_type": "modification",
      "reasoning": "Increase 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_1243",
      "to_node": "node_1244",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.300)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1244",
      "to_node": "node_1245",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.555)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1245",
      "to_node": "node_1246",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1247",
      "to_node": "node_1248",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006618)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1248",
      "to_node": "node_1249",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1249",
      "to_node": "node_1250",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.351)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1250",
      "to_node": "node_1251",
      "edge_type": "modification",
      "reasoning": "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,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1251",
      "to_node": "node_1252",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1252",
      "to_node": "node_1253",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1253",
      "to_node": "node_1254",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1255",
      "to_node": "node_1256",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004590)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1256",
      "to_node": "node_1257",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1257",
      "to_node": "node_1258",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005400)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1258",
      "to_node": "node_1259",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1259",
      "to_node": "node_1260",
      "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_1260",
      "to_node": "node_1261",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.565)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1261",
      "to_node": "node_1262",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1263",
      "to_node": "node_1264",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005955)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1264",
      "to_node": "node_1265",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003165)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1265",
      "to_node": "node_1266",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.511)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1266",
      "to_node": "node_1267",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1267",
      "to_node": "node_1268",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1268",
      "to_node": "node_1269",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1269",
      "to_node": "node_1270",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1271",
      "to_node": "node_1272",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005701)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1272",
      "to_node": "node_1273",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005402)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1273",
      "to_node": "node_1274",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1274",
      "to_node": "node_1275",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.242)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1275",
      "to_node": "node_1276",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.346)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1276",
      "to_node": "node_1277",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1278",
      "to_node": "node_1279",
      "edge_type": "modification",
      "reasoning": "Increase 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_1279",
      "to_node": "node_1280",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1280",
      "to_node": "node_1281",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1281",
      "to_node": "node_1282",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1283",
      "to_node": "node_1284",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.269)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1284",
      "to_node": "node_1285",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004960)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1285",
      "to_node": "node_1286",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1286",
      "to_node": "node_1287",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.206)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1287",
      "to_node": "node_1288",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1288",
      "to_node": "node_1289",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1289",
      "to_node": "node_1290",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1291",
      "to_node": "node_1292",
      "edge_type": "modification",
      "reasoning": "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_1292",
      "to_node": "node_1293",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.506)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1293",
      "to_node": "node_1294",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.621)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1294",
      "to_node": "node_1295",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1296",
      "to_node": "node_1297",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002739)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1297",
      "to_node": "node_1298",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1298",
      "to_node": "node_1299",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007213)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1299",
      "to_node": "node_1300",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1300",
      "to_node": "node_1301",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1302",
      "to_node": "node_1303",
      "edge_type": "modification",
      "reasoning": "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_1303",
      "to_node": "node_1304",
      "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_1304",
      "to_node": "node_1305",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.326)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1305",
      "to_node": "node_1306",
      "edge_type": "modification",
      "reasoning": "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_1306",
      "to_node": "node_1307",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.550)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1307",
      "to_node": "node_1308",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1308",
      "to_node": "node_1309",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1309",
      "to_node": "node_1310",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1311",
      "to_node": "node_1312",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003618)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1312",
      "to_node": "node_1313",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.003781)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1313",
      "to_node": "node_1314",
      "edge_type": "modification",
      "reasoning": "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_1314",
      "to_node": "node_1315",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1315",
      "to_node": "node_1316",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.342)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1316",
      "to_node": "node_1317",
      "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_1317",
      "to_node": "node_1318",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1319",
      "to_node": "node_1320",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1320",
      "to_node": "node_1321",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1321",
      "to_node": "node_1322",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1322",
      "to_node": "node_1323",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.522)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1323",
      "to_node": "node_1324",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1325",
      "to_node": "node_1326",
      "edge_type": "modification",
      "reasoning": "Increase 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_1326",
      "to_node": "node_1327",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1327",
      "to_node": "node_1328",
      "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_1328",
      "to_node": "node_1329",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1329",
      "to_node": "node_1330",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1330",
      "to_node": "node_1331",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1331",
      "to_node": "node_1332",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1333",
      "to_node": "node_1334",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.376)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1334",
      "to_node": "node_1335",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1335",
      "to_node": "node_1336",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.387)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1336",
      "to_node": "node_1337",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1338",
      "to_node": "node_1339",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005694)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1339",
      "to_node": "node_1340",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.397)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1340",
      "to_node": "node_1341",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1341",
      "to_node": "node_1342",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1342",
      "to_node": "node_1343",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1344",
      "to_node": "node_1345",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1345",
      "to_node": "node_1346",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1346",
      "to_node": "node_1347",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1347",
      "to_node": "node_1348",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1349",
      "to_node": "node_1350",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003898)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1350",
      "to_node": "node_1351",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1351",
      "to_node": "node_1352",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.550)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1352",
      "to_node": "node_1353",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1353",
      "to_node": "node_1354",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1355",
      "to_node": "node_1356",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1356",
      "to_node": "node_1357",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1357",
      "to_node": "node_1358",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.389)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1358",
      "to_node": "node_1359",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.256)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1359",
      "to_node": "node_1360",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1361",
      "to_node": "node_1362",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006719)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1362",
      "to_node": "node_1363",
      "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_1363",
      "to_node": "node_1364",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1364",
      "to_node": "node_1365",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1366",
      "to_node": "node_1367",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1367",
      "to_node": "node_1368",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.418)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1368",
      "to_node": "node_1369",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.271)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1369",
      "to_node": "node_1370",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1370",
      "to_node": "node_1371",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1372",
      "to_node": "node_1373",
      "edge_type": "modification",
      "reasoning": "Increase 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_1373",
      "to_node": "node_1374",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.585)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1374",
      "to_node": "node_1375",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.266)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1375",
      "to_node": "node_1376",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.453)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1376",
      "to_node": "node_1377",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1378",
      "to_node": "node_1379",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1379",
      "to_node": "node_1380",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1380",
      "to_node": "node_1381",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006613)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1381",
      "to_node": "node_1382",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.233)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1382",
      "to_node": "node_1383",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.248)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1383",
      "to_node": "node_1384",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1384",
      "to_node": "node_1385",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1385",
      "to_node": "node_1386",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1387",
      "to_node": "node_1388",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1388",
      "to_node": "node_1389",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1389",
      "to_node": "node_1390",
      "edge_type": "modification",
      "reasoning": "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_1390",
      "to_node": "node_1391",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1391",
      "to_node": "node_1392",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006081)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1392",
      "to_node": "node_1393",
      "edge_type": "modification",
      "reasoning": "Increase 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_1393",
      "to_node": "node_1394",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1395",
      "to_node": "node_1396",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006730)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1396",
      "to_node": "node_1397",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.185)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1397",
      "to_node": "node_1398",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1398",
      "to_node": "node_1399",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1399",
      "to_node": "node_1400",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1401",
      "to_node": "node_1402",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.241)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1402",
      "to_node": "node_1403",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004234)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1403",
      "to_node": "node_1404",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1404",
      "to_node": "node_1405",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.351)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1405",
      "to_node": "node_1406",
      "edge_type": "modification",
      "reasoning": "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_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,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1408",
      "to_node": "node_1409",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004842)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1409",
      "to_node": "node_1410",
      "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_1410",
      "to_node": "node_1411",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004906)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1411",
      "to_node": "node_1412",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1412",
      "to_node": "node_1413",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1413",
      "to_node": "node_1414",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.186)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1414",
      "to_node": "node_1415",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1415",
      "to_node": "node_1416",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1417",
      "to_node": "node_1418",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.600)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1418",
      "to_node": "node_1419",
      "edge_type": "modification",
      "reasoning": "Increase 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_1419",
      "to_node": "node_1420",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003025)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1420",
      "to_node": "node_1421",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1421",
      "to_node": "node_1422",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1423",
      "to_node": "node_1424",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1424",
      "to_node": "node_1425",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1425",
      "to_node": "node_1426",
      "edge_type": "modification",
      "reasoning": "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_1426",
      "to_node": "node_1427",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1427",
      "to_node": "node_1428",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1429",
      "to_node": "node_1430",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006293)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1430",
      "to_node": "node_1431",
      "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_1431",
      "to_node": "node_1432",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.522)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1432",
      "to_node": "node_1433",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.613)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1433",
      "to_node": "node_1434",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1434",
      "to_node": "node_1435",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1436",
      "to_node": "node_1437",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.403)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1437",
      "to_node": "node_1438",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1438",
      "to_node": "node_1439",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1439",
      "to_node": "node_1440",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1440",
      "to_node": "node_1441",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.499)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1441",
      "to_node": "node_1442",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1443",
      "to_node": "node_1444",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004618)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1444",
      "to_node": "node_1445",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004826)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1445",
      "to_node": "node_1446",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.520)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1446",
      "to_node": "node_1447",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005513)",
      "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 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1448",
      "to_node": "node_1449",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.224)",
      "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 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1450",
      "to_node": "node_1451",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1453",
      "to_node": "node_1454",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005752)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1454",
      "to_node": "node_1455",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1455",
      "to_node": "node_1456",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "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_1459",
      "to_node": "node_1460",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1460",
      "to_node": "node_1461",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1461",
      "to_node": "node_1462",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1462",
      "to_node": "node_1463",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.179)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1463",
      "to_node": "node_1464",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1465",
      "to_node": "node_1466",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.001485)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1466",
      "to_node": "node_1467",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.299)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1467",
      "to_node": "node_1468",
      "edge_type": "modification",
      "reasoning": "Increase 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_1468",
      "to_node": "node_1469",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1469",
      "to_node": "node_1470",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1470",
      "to_node": "node_1471",
      "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_1471",
      "to_node": "node_1472",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.631)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1472",
      "to_node": "node_1473",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1474",
      "to_node": "node_1475",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005887)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1475",
      "to_node": "node_1476",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.613)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1476",
      "to_node": "node_1477",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.420)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1477",
      "to_node": "node_1478",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1478",
      "to_node": "node_1479",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006987)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1479",
      "to_node": "node_1480",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.513)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1480",
      "to_node": "node_1481",
      "edge_type": "modification",
      "reasoning": "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_1481",
      "to_node": "node_1482",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1483",
      "to_node": "node_1484",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.218)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1484",
      "to_node": "node_1485",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.190)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1485",
      "to_node": "node_1486",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.595)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1486",
      "to_node": "node_1487",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1488",
      "to_node": "node_1489",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1489",
      "to_node": "node_1490",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1490",
      "to_node": "node_1491",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1491",
      "to_node": "node_1492",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1492",
      "to_node": "node_1493",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1494",
      "to_node": "node_1495",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.522)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1495",
      "to_node": "node_1496",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1496",
      "to_node": "node_1497",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1497",
      "to_node": "node_1498",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1498",
      "to_node": "node_1499",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1499",
      "to_node": "node_1500",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1501",
      "to_node": "node_1502",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.361)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1502",
      "to_node": "node_1503",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.206)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1503",
      "to_node": "node_1504",
      "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_1504",
      "to_node": "node_1505",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1505",
      "to_node": "node_1506",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.202)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1506",
      "to_node": "node_1507",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1508",
      "to_node": "node_1509",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005939)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1509",
      "to_node": "node_1510",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.560)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1510",
      "to_node": "node_1511",
      "edge_type": "modification",
      "reasoning": "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_1511",
      "to_node": "node_1512",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.443)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1512",
      "to_node": "node_1513",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1514",
      "to_node": "node_1515",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.506)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1515",
      "to_node": "node_1516",
      "edge_type": "modification",
      "reasoning": "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_1516",
      "to_node": "node_1517",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.181)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1517",
      "to_node": "node_1518",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1519",
      "to_node": "node_1520",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "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": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "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": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1522",
      "to_node": "node_1523",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1524",
      "to_node": "node_1525",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.522)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1525",
      "to_node": "node_1526",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005437)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1526",
      "to_node": "node_1527",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.536)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1527",
      "to_node": "node_1528",
      "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_1528",
      "to_node": "node_1529",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.595)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1529",
      "to_node": "node_1530",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.658)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1530",
      "to_node": "node_1531",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1531",
      "to_node": "node_1532",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1533",
      "to_node": "node_1534",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005007)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1534",
      "to_node": "node_1535",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.422)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1535",
      "to_node": "node_1536",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.431)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1536",
      "to_node": "node_1537",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1538",
      "to_node": "node_1539",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1539",
      "to_node": "node_1540",
      "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_1540",
      "to_node": "node_1541",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1541",
      "to_node": "node_1542",
      "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_1542",
      "to_node": "node_1543",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1544",
      "to_node": "node_1545",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.297)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1545",
      "to_node": "node_1546",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003241)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1546",
      "to_node": "node_1547",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1547",
      "to_node": "node_1548",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1548",
      "to_node": "node_1549",
      "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_1549",
      "to_node": "node_1550",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.248)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1550",
      "to_node": "node_1551",
      "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_1551",
      "to_node": "node_1552",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1553",
      "to_node": "node_1554",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.513)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1554",
      "to_node": "node_1555",
      "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_1555",
      "to_node": "node_1556",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1556",
      "to_node": "node_1557",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.427)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1557",
      "to_node": "node_1558",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1558",
      "to_node": "node_1559",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.351)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1559",
      "to_node": "node_1560",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1560",
      "to_node": "node_1561",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1562",
      "to_node": "node_1563",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.404)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1563",
      "to_node": "node_1564",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003213)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1564",
      "to_node": "node_1565",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1565",
      "to_node": "node_1566",
      "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_1566",
      "to_node": "node_1567",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.364)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1567",
      "to_node": "node_1568",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1568",
      "to_node": "node_1569",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1570",
      "to_node": "node_1571",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005171)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1571",
      "to_node": "node_1572",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.316)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1572",
      "to_node": "node_1573",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.575)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1573",
      "to_node": "node_1574",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1574",
      "to_node": "node_1575",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1576",
      "to_node": "node_1577",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.200)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1577",
      "to_node": "node_1578",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.312)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1578",
      "to_node": "node_1579",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.412)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1579",
      "to_node": "node_1580",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.656)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1580",
      "to_node": "node_1581",
      "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_1581",
      "to_node": "node_1582",
      "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_1582",
      "to_node": "node_1583",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1583",
      "to_node": "node_1584",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1585",
      "to_node": "node_1586",
      "edge_type": "modification",
      "reasoning": "Increase 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_1586",
      "to_node": "node_1587",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.377)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1587",
      "to_node": "node_1588",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1588",
      "to_node": "node_1589",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1590",
      "to_node": "node_1591",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1591",
      "to_node": "node_1592",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1592",
      "to_node": "node_1593",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1593",
      "to_node": "node_1594",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.567)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1594",
      "to_node": "node_1595",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1596",
      "to_node": "node_1597",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004191)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1597",
      "to_node": "node_1598",
      "edge_type": "modification",
      "reasoning": "Increase 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_1598",
      "to_node": "node_1599",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1599",
      "to_node": "node_1600",
      "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_1600",
      "to_node": "node_1601",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1601",
      "to_node": "node_1602",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1603",
      "to_node": "node_1604",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004772)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1604",
      "to_node": "node_1605",
      "edge_type": "modification",
      "reasoning": "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_1605",
      "to_node": "node_1606",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1606",
      "to_node": "node_1607",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1607",
      "to_node": "node_1608",
      "edge_type": "modification",
      "reasoning": "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_1608",
      "to_node": "node_1609",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1610",
      "to_node": "node_1611",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1611",
      "to_node": "node_1612",
      "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_1612",
      "to_node": "node_1613",
      "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_1613",
      "to_node": "node_1614",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004012)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1614",
      "to_node": "node_1615",
      "edge_type": "modification",
      "reasoning": "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_1615",
      "to_node": "node_1616",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1616",
      "to_node": "node_1617",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.366)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1617",
      "to_node": "node_1618",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1619",
      "to_node": "node_1620",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.637)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1620",
      "to_node": "node_1621",
      "edge_type": "modification",
      "reasoning": "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_1621",
      "to_node": "node_1622",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1622",
      "to_node": "node_1623",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1623",
      "to_node": "node_1624",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1625",
      "to_node": "node_1626",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.202)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1626",
      "to_node": "node_1627",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.553)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1627",
      "to_node": "node_1628",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1628",
      "to_node": "node_1629",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002875)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1629",
      "to_node": "node_1630",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1630",
      "to_node": "node_1631",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005982)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1631",
      "to_node": "node_1632",
      "edge_type": "modification",
      "reasoning": "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_1632",
      "to_node": "node_1633",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1634",
      "to_node": "node_1635",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006104)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1635",
      "to_node": "node_1636",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.383)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1636",
      "to_node": "node_1637",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.351)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1637",
      "to_node": "node_1638",
      "edge_type": "modification",
      "reasoning": "Increase 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_1638",
      "to_node": "node_1639",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.495)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1639",
      "to_node": "node_1640",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1640",
      "to_node": "node_1641",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1642",
      "to_node": "node_1643",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.233)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1643",
      "to_node": "node_1644",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1644",
      "to_node": "node_1645",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1645",
      "to_node": "node_1646",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.565)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "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_1649",
      "to_node": "node_1650",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.179)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1650",
      "to_node": "node_1651",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.504)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004829)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1654",
      "to_node": "node_1655",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.650)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1655",
      "to_node": "node_1656",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1656",
      "to_node": "node_1657",
      "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_1657",
      "to_node": "node_1658",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1658",
      "to_node": "node_1659",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.439)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1659",
      "to_node": "node_1660",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1661",
      "to_node": "node_1662",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1662",
      "to_node": "node_1663",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.466)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1663",
      "to_node": "node_1664",
      "edge_type": "modification",
      "reasoning": "Increase 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_1664",
      "to_node": "node_1665",
      "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_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,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1667",
      "to_node": "node_1668",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007232)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1668",
      "to_node": "node_1669",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1669",
      "to_node": "node_1670",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1670",
      "to_node": "node_1671",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.582)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1671",
      "to_node": "node_1672",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1672",
      "to_node": "node_1673",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.311)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1673",
      "to_node": "node_1674",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1675",
      "to_node": "node_1676",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.600)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1676",
      "to_node": "node_1677",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.451)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1677",
      "to_node": "node_1678",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.250)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1680",
      "to_node": "node_1681",
      "edge_type": "modification",
      "reasoning": "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_1681",
      "to_node": "node_1682",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006633)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1682",
      "to_node": "node_1683",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1683",
      "to_node": "node_1684",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1684",
      "to_node": "node_1685",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1686",
      "to_node": "node_1687",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003227)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1687",
      "to_node": "node_1688",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005360)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1688",
      "to_node": "node_1689",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004739)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1689",
      "to_node": "node_1690",
      "edge_type": "modification",
      "reasoning": "Increase 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_1690",
      "to_node": "node_1691",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.391)",
      "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": "Increase 6 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.403)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1692",
      "to_node": "node_1693",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1693",
      "to_node": "node_1694",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1695",
      "to_node": "node_1696",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.297)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1696",
      "to_node": "node_1697",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1697",
      "to_node": "node_1698",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1698",
      "to_node": "node_1699",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.332)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1699",
      "to_node": "node_1700",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1700",
      "to_node": "node_1701",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1701",
      "to_node": "node_1702",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1703",
      "to_node": "node_1704",
      "edge_type": "modification",
      "reasoning": "Increase 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_1704",
      "to_node": "node_1705",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1705",
      "to_node": "node_1706",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.383)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004711)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1709",
      "to_node": "node_1710",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.339)",
      "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 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1711",
      "to_node": "node_1712",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.439)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1712",
      "to_node": "node_1713",
      "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_1713",
      "to_node": "node_1714",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006076)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1716",
      "to_node": "node_1717",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.203)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1717",
      "to_node": "node_1718",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005403)",
      "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 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_1719",
      "to_node": "node_1720",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1720",
      "to_node": "node_1721",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1722",
      "to_node": "node_1723",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1723",
      "to_node": "node_1724",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.577)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1724",
      "to_node": "node_1725",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005782)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1725",
      "to_node": "node_1726",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1726",
      "to_node": "node_1727",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1728",
      "to_node": "node_1729",
      "edge_type": "modification",
      "reasoning": "Increase 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_1729",
      "to_node": "node_1730",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003048)",
      "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": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1731",
      "to_node": "node_1732",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "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,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1734",
      "to_node": "node_1735",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005297)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1735",
      "to_node": "node_1736",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.585)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1736",
      "to_node": "node_1737",
      "edge_type": "modification",
      "reasoning": "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_1737",
      "to_node": "node_1738",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.453)",
      "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 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "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 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "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 0 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.339)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1743",
      "to_node": "node_1744",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1745",
      "to_node": "node_1746",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1746",
      "to_node": "node_1747",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "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 8 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.353)",
      "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": "Increase 4 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.560)",
      "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 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,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1750",
      "to_node": "node_1751",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1752",
      "to_node": "node_1753",
      "edge_type": "modification",
      "reasoning": "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_1753",
      "to_node": "node_1754",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.555)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1754",
      "to_node": "node_1755",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 2 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.319)",
      "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": "Increase 4 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.522)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1759",
      "to_node": "node_1760",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1760",
      "to_node": "node_1761",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005443)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1761",
      "to_node": "node_1762",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1762",
      "to_node": "node_1763",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1763",
      "to_node": "node_1764",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.623)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1764",
      "to_node": "node_1765",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1766",
      "to_node": "node_1767",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005758)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1767",
      "to_node": "node_1768",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1768",
      "to_node": "node_1769",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1769",
      "to_node": "node_1770",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1771",
      "to_node": "node_1772",
      "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_1772",
      "to_node": "node_1773",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007037)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1773",
      "to_node": "node_1774",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006258)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1774",
      "to_node": "node_1775",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.506)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1775",
      "to_node": "node_1776",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1776",
      "to_node": "node_1777",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1778",
      "to_node": "node_1779",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.570)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1779",
      "to_node": "node_1780",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.462)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1780",
      "to_node": "node_1781",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.608)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1781",
      "to_node": "node_1782",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1782",
      "to_node": "node_1783",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.202)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1783",
      "to_node": "node_1784",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1785",
      "to_node": "node_1786",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1786",
      "to_node": "node_1787",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.603)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1787",
      "to_node": "node_1788",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005204)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1788",
      "to_node": "node_1789",
      "edge_type": "modification",
      "reasoning": "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_1789",
      "to_node": "node_1790",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.239)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1790",
      "to_node": "node_1791",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1792",
      "to_node": "node_1793",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005800)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1793",
      "to_node": "node_1794",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.493)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1794",
      "to_node": "node_1795",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.279)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1795",
      "to_node": "node_1796",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005605)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1796",
      "to_node": "node_1797",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1797",
      "to_node": "node_1798",
      "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_1798",
      "to_node": "node_1799",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1800",
      "to_node": "node_1801",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005512)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1801",
      "to_node": "node_1802",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.567)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1802",
      "to_node": "node_1803",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.468)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1803",
      "to_node": "node_1804",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1804",
      "to_node": "node_1805",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.353)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1805",
      "to_node": "node_1806",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1806",
      "to_node": "node_1807",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1807",
      "to_node": "node_1808",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1809",
      "to_node": "node_1810",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005962)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1810",
      "to_node": "node_1811",
      "edge_type": "modification",
      "reasoning": "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_1811",
      "to_node": "node_1812",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1812",
      "to_node": "node_1813",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1813",
      "to_node": "node_1814",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1814",
      "to_node": "node_1815",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1816",
      "to_node": "node_1817",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1817",
      "to_node": "node_1818",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1818",
      "to_node": "node_1819",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1820",
      "to_node": "node_1821",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1821",
      "to_node": "node_1822",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006159)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1822",
      "to_node": "node_1823",
      "edge_type": "modification",
      "reasoning": "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_1823",
      "to_node": "node_1824",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.276)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1824",
      "to_node": "node_1825",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1826",
      "to_node": "node_1827",
      "edge_type": "modification",
      "reasoning": "Increase 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_1827",
      "to_node": "node_1828",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1828",
      "to_node": "node_1829",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.585)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1829",
      "to_node": "node_1830",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.650)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1830",
      "to_node": "node_1831",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1832",
      "to_node": "node_1833",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004268)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1833",
      "to_node": "node_1834",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1834",
      "to_node": "node_1835",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1835",
      "to_node": "node_1836",
      "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_1836",
      "to_node": "node_1837",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.441)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1837",
      "to_node": "node_1838",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1838",
      "to_node": "node_1839",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1839",
      "to_node": "node_1840",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1841",
      "to_node": "node_1842",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1842",
      "to_node": "node_1843",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.206)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1843",
      "to_node": "node_1844",
      "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_1844",
      "to_node": "node_1845",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1845",
      "to_node": "node_1846",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1846",
      "to_node": "node_1847",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1848",
      "to_node": "node_1849",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004422)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1849",
      "to_node": "node_1850",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1850",
      "to_node": "node_1851",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.397)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1851",
      "to_node": "node_1852",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006393)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1852",
      "to_node": "node_1853",
      "edge_type": "modification",
      "reasoning": "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_1853",
      "to_node": "node_1854",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1854",
      "to_node": "node_1855",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.395)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1855",
      "to_node": "node_1856",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1857",
      "to_node": "node_1858",
      "edge_type": "modification",
      "reasoning": "Increase 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_1858",
      "to_node": "node_1859",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1859",
      "to_node": "node_1860",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1860",
      "to_node": "node_1861",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1861",
      "to_node": "node_1862",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1862",
      "to_node": "node_1863",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1863",
      "to_node": "node_1864",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1865",
      "to_node": "node_1866",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004357)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1866",
      "to_node": "node_1867",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005686)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1867",
      "to_node": "node_1868",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005742)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1868",
      "to_node": "node_1869",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.605)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1869",
      "to_node": "node_1870",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1870",
      "to_node": "node_1871",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.377)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1871",
      "to_node": "node_1872",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.493)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1872",
      "to_node": "node_1873",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1874",
      "to_node": "node_1875",
      "edge_type": "modification",
      "reasoning": "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_1875",
      "to_node": "node_1876",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1876",
      "to_node": "node_1877",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.186)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1877",
      "to_node": "node_1878",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.647)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1878",
      "to_node": "node_1879",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1879",
      "to_node": "node_1880",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "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": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1883",
      "to_node": "node_1884",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.302)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 9 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.395)",
      "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": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005984)",
      "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": "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_1889",
      "to_node": "node_1890",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1891",
      "to_node": "node_1892",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1892",
      "to_node": "node_1893",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005149)",
      "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 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004507)",
      "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": "Increase 4 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.299)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1895",
      "to_node": "node_1896",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.218)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1896",
      "to_node": "node_1897",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1897",
      "to_node": "node_1898",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1898",
      "to_node": "node_1899",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 3 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.244)",
      "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 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "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 4 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.490)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1903",
      "to_node": "node_1904",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1904",
      "to_node": "node_1905",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1907",
      "to_node": "node_1908",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003120)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1908",
      "to_node": "node_1909",
      "edge_type": "modification",
      "reasoning": "Increase 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_1909",
      "to_node": "node_1910",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004859)",
      "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": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1911",
      "to_node": "node_1912",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.403)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1912",
      "to_node": "node_1913",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1914",
      "to_node": "node_1915",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005301)",
      "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 0 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.592)",
      "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": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005354)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1917",
      "to_node": "node_1918",
      "edge_type": "modification",
      "reasoning": "Increase 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_1918",
      "to_node": "node_1919",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.215)",
      "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": "Increase 8 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.335)",
      "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 5 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.495)",
      "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,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1923",
      "to_node": "node_1924",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1924",
      "to_node": "node_1925",
      "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_1925",
      "to_node": "node_1926",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.462)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005467)",
      "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": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005769)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1930",
      "to_node": "node_1931",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1931",
      "to_node": "node_1932",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002196)",
      "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 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_1935",
      "to_node": "node_1936",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.200)",
      "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 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_1937",
      "to_node": "node_1938",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1938",
      "to_node": "node_1939",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1941",
      "to_node": "node_1942",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1942",
      "to_node": "node_1943",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1943",
      "to_node": "node_1944",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.374)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1947",
      "to_node": "node_1948",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.272)",
      "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 7 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.272)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1949",
      "to_node": "node_1950",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1951",
      "to_node": "node_1952",
      "edge_type": "modification",
      "reasoning": "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_1952",
      "to_node": "node_1953",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005764)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1953",
      "to_node": "node_1954",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1954",
      "to_node": "node_1955",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "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": "Increase 8 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.176)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1956",
      "to_node": "node_1957",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1958",
      "to_node": "node_1959",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.195)",
      "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 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_1960",
      "to_node": "node_1961",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1961",
      "to_node": "node_1962",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1963",
      "to_node": "node_1964",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.309)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1964",
      "to_node": "node_1965",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.387)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1965",
      "to_node": "node_1966",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.244)",
      "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 4 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.403)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1967",
      "to_node": "node_1968",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "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": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1971",
      "to_node": "node_1972",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.626)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1972",
      "to_node": "node_1973",
      "edge_type": "modification",
      "reasoning": "Increase 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_1973",
      "to_node": "node_1974",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1974",
      "to_node": "node_1975",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "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 8 thickness by 67%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.667)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1978",
      "to_node": "node_1979",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.610)",
      "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 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_1980",
      "to_node": "node_1981",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005269)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1981",
      "to_node": "node_1982",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002898)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1982",
      "to_node": "node_1983",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1983",
      "to_node": "node_1984",
      "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_1984",
      "to_node": "node_1985",
      "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_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": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006439)",
      "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 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_1989",
      "to_node": "node_1990",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.616)",
      "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": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1991",
      "to_node": "node_1992",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1992",
      "to_node": "node_1993",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.192)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1993",
      "to_node": "node_1994",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1995",
      "to_node": "node_1996",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1996",
      "to_node": "node_1997",
      "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_1997",
      "to_node": "node_1998",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1998",
      "to_node": "node_1999",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2000",
      "to_node": "node_2001",
      "edge_type": "modification",
      "reasoning": "Increase 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_2001",
      "to_node": "node_2002",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004110)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2002",
      "to_node": "node_2003",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2003",
      "to_node": "node_2004",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005162)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2004",
      "to_node": "node_2005",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2005",
      "to_node": "node_2006",
      "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_2006",
      "to_node": "node_2007",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2008",
      "to_node": "node_2009",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2009",
      "to_node": "node_2010",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005679)",
      "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": "Increase 8 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.527)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2011",
      "to_node": "node_2012",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.372)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2012",
      "to_node": "node_2013",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.229)",
      "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 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_2014",
      "to_node": "node_2015",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2016",
      "to_node": "node_2017",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.179)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2017",
      "to_node": "node_2018",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2018",
      "to_node": "node_2019",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006367)",
      "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 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2020",
      "to_node": "node_2021",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.292)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2021",
      "to_node": "node_2022",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.435)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2022",
      "to_node": "node_2023",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2024",
      "to_node": "node_2025",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2025",
      "to_node": "node_2026",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2026",
      "to_node": "node_2027",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.475)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2027",
      "to_node": "node_2028",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2029",
      "to_node": "node_2030",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.513)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2030",
      "to_node": "node_2031",
      "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_2031",
      "to_node": "node_2032",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.451)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2032",
      "to_node": "node_2033",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2033",
      "to_node": "node_2034",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.520)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2034",
      "to_node": "node_2035",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2035",
      "to_node": "node_2036",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2036",
      "to_node": "node_2037",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2038",
      "to_node": "node_2039",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2039",
      "to_node": "node_2040",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005663)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2040",
      "to_node": "node_2041",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.429)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2041",
      "to_node": "node_2042",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.348)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2042",
      "to_node": "node_2043",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2044",
      "to_node": "node_2045",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2045",
      "to_node": "node_2046",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.269)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2046",
      "to_node": "node_2047",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2047",
      "to_node": "node_2048",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2048",
      "to_node": "node_2049",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2049",
      "to_node": "node_2050",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2050",
      "to_node": "node_2051",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2052",
      "to_node": "node_2053",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.408)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2053",
      "to_node": "node_2054",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006148)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2054",
      "to_node": "node_2055",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2055",
      "to_node": "node_2056",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.344)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2056",
      "to_node": "node_2057",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.339)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2057",
      "to_node": "node_2058",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2059",
      "to_node": "node_2060",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.531)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2060",
      "to_node": "node_2061",
      "edge_type": "modification",
      "reasoning": "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_2061",
      "to_node": "node_2062",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2062",
      "to_node": "node_2063",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.479)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2063",
      "to_node": "node_2064",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.429)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2064",
      "to_node": "node_2065",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2066",
      "to_node": "node_2067",
      "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_2067",
      "to_node": "node_2068",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.299)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2068",
      "to_node": "node_2069",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2069",
      "to_node": "node_2070",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2071",
      "to_node": "node_2072",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.245)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2072",
      "to_node": "node_2073",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2073",
      "to_node": "node_2074",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2074",
      "to_node": "node_2075",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2076",
      "to_node": "node_2077",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005328)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2077",
      "to_node": "node_2078",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006299)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2078",
      "to_node": "node_2079",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.484)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2079",
      "to_node": "node_2080",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002931)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2080",
      "to_node": "node_2081",
      "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_2081",
      "to_node": "node_2082",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2082",
      "to_node": "node_2083",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2084",
      "to_node": "node_2085",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2085",
      "to_node": "node_2086",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2086",
      "to_node": "node_2087",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005858)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2087",
      "to_node": "node_2088",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005209)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2088",
      "to_node": "node_2089",
      "edge_type": "modification",
      "reasoning": "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_2089",
      "to_node": "node_2090",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006933)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2090",
      "to_node": "node_2091",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2091",
      "to_node": "node_2092",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2093",
      "to_node": "node_2094",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.001676)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2094",
      "to_node": "node_2095",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.425)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2095",
      "to_node": "node_2096",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2096",
      "to_node": "node_2097",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004308)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2097",
      "to_node": "node_2098",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2098",
      "to_node": "node_2099",
      "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_2099",
      "to_node": "node_2100",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2100",
      "to_node": "node_2101",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2102",
      "to_node": "node_2103",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004781)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2103",
      "to_node": "node_2104",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2104",
      "to_node": "node_2105",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003035)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2105",
      "to_node": "node_2106",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.506)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2106",
      "to_node": "node_2107",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.248)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2107",
      "to_node": "node_2108",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2109",
      "to_node": "node_2110",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006464)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2110",
      "to_node": "node_2111",
      "edge_type": "modification",
      "reasoning": "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_2111",
      "to_node": "node_2112",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2112",
      "to_node": "node_2113",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.587)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2113",
      "to_node": "node_2114",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2114",
      "to_node": "node_2115",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2116",
      "to_node": "node_2117",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.178)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2117",
      "to_node": "node_2118",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2118",
      "to_node": "node_2119",
      "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_2119",
      "to_node": "node_2120",
      "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_2120",
      "to_node": "node_2121",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2122",
      "to_node": "node_2123",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2123",
      "to_node": "node_2124",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2124",
      "to_node": "node_2125",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004540)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2125",
      "to_node": "node_2126",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2126",
      "to_node": "node_2127",
      "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_2127",
      "to_node": "node_2128",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2129",
      "to_node": "node_2130",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.235)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2130",
      "to_node": "node_2131",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2131",
      "to_node": "node_2132",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2132",
      "to_node": "node_2133",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2134",
      "to_node": "node_2135",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.359)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2135",
      "to_node": "node_2136",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2136",
      "to_node": "node_2137",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.497)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2137",
      "to_node": "node_2138",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2139",
      "to_node": "node_2140",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2140",
      "to_node": "node_2141",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2141",
      "to_node": "node_2142",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006194)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2142",
      "to_node": "node_2143",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2143",
      "to_node": "node_2144",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2145",
      "to_node": "node_2146",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006349)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2146",
      "to_node": "node_2147",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.284)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2147",
      "to_node": "node_2148",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2148",
      "to_node": "node_2149",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2149",
      "to_node": "node_2150",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2151",
      "to_node": "node_2152",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.323)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2152",
      "to_node": "node_2153",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2153",
      "to_node": "node_2154",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2154",
      "to_node": "node_2155",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2156",
      "to_node": "node_2157",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.003425)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2157",
      "to_node": "node_2158",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003309)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2158",
      "to_node": "node_2159",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2159",
      "to_node": "node_2160",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2160",
      "to_node": "node_2161",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2161",
      "to_node": "node_2162",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.616)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2162",
      "to_node": "node_2163",
      "edge_type": "modification",
      "reasoning": "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_2163",
      "to_node": "node_2164",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2165",
      "to_node": "node_2166",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002958)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2166",
      "to_node": "node_2167",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2167",
      "to_node": "node_2168",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2168",
      "to_node": "node_2169",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2170",
      "to_node": "node_2171",
      "edge_type": "modification",
      "reasoning": "Increase 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_2171",
      "to_node": "node_2172",
      "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_2172",
      "to_node": "node_2173",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.458)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2173",
      "to_node": "node_2174",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.431)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2174",
      "to_node": "node_2175",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2175",
      "to_node": "node_2176",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2177",
      "to_node": "node_2178",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.597)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2178",
      "to_node": "node_2179",
      "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_2179",
      "to_node": "node_2180",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2180",
      "to_node": "node_2181",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2182",
      "to_node": "node_2183",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2183",
      "to_node": "node_2184",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.318)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2184",
      "to_node": "node_2185",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.274)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2185",
      "to_node": "node_2186",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2186",
      "to_node": "node_2187",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2187",
      "to_node": "node_2188",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.410)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2188",
      "to_node": "node_2189",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2190",
      "to_node": "node_2191",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2191",
      "to_node": "node_2192",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.621)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2192",
      "to_node": "node_2193",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.441)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2193",
      "to_node": "node_2194",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.330)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2194",
      "to_node": "node_2195",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2196",
      "to_node": "node_2197",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.608)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2197",
      "to_node": "node_2198",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007000)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2198",
      "to_node": "node_2199",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2199",
      "to_node": "node_2200",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2200",
      "to_node": "node_2201",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.361)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2201",
      "to_node": "node_2202",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.458)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2202",
      "to_node": "node_2203",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.297)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2203",
      "to_node": "node_2204",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2205",
      "to_node": "node_2206",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.003860)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2206",
      "to_node": "node_2207",
      "edge_type": "modification",
      "reasoning": "Increase 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_2207",
      "to_node": "node_2208",
      "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,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2208",
      "to_node": "node_2209",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.524)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2209",
      "to_node": "node_2210",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2211",
      "to_node": "node_2212",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.410)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2212",
      "to_node": "node_2213",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2213",
      "to_node": "node_2214",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2214",
      "to_node": "node_2215",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2216",
      "to_node": "node_2217",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2217",
      "to_node": "node_2218",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005383)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2218",
      "to_node": "node_2219",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.634)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2219",
      "to_node": "node_2220",
      "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_2220",
      "to_node": "node_2221",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2222",
      "to_node": "node_2223",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2223",
      "to_node": "node_2224",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005814)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2224",
      "to_node": "node_2225",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2225",
      "to_node": "node_2226",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.282)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2226",
      "to_node": "node_2227",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2228",
      "to_node": "node_2229",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2229",
      "to_node": "node_2230",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2230",
      "to_node": "node_2231",
      "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_2231",
      "to_node": "node_2232",
      "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_2232",
      "to_node": "node_2233",
      "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_2233",
      "to_node": "node_2234",
      "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_2234",
      "to_node": "node_2235",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2236",
      "to_node": "node_2237",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2237",
      "to_node": "node_2238",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2238",
      "to_node": "node_2239",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.316)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2239",
      "to_node": "node_2240",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2240",
      "to_node": "node_2241",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2241",
      "to_node": "node_2242",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2242",
      "to_node": "node_2243",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2244",
      "to_node": "node_2245",
      "edge_type": "modification",
      "reasoning": "Increase 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_2245",
      "to_node": "node_2246",
      "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_2246",
      "to_node": "node_2247",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2247",
      "to_node": "node_2248",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2248",
      "to_node": "node_2249",
      "edge_type": "modification",
      "reasoning": "Increase 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_2249",
      "to_node": "node_2250",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.366)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2250",
      "to_node": "node_2251",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2252",
      "to_node": "node_2253",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2253",
      "to_node": "node_2254",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2254",
      "to_node": "node_2255",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2255",
      "to_node": "node_2256",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2256",
      "to_node": "node_2257",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2258",
      "to_node": "node_2259",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2259",
      "to_node": "node_2260",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2260",
      "to_node": "node_2261",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.631)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2261",
      "to_node": "node_2262",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2263",
      "to_node": "node_2264",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2264",
      "to_node": "node_2265",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.361)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2265",
      "to_node": "node_2266",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2266",
      "to_node": "node_2267",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005564)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2267",
      "to_node": "node_2268",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2268",
      "to_node": "node_2269",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2270",
      "to_node": "node_2271",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.178)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2271",
      "to_node": "node_2272",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2272",
      "to_node": "node_2273",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2273",
      "to_node": "node_2274",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.342)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2274",
      "to_node": "node_2275",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2276",
      "to_node": "node_2277",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2277",
      "to_node": "node_2278",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2278",
      "to_node": "node_2279",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2279",
      "to_node": "node_2280",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2281",
      "to_node": "node_2282",
      "edge_type": "modification",
      "reasoning": "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_2282",
      "to_node": "node_2283",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004749)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2283",
      "to_node": "node_2284",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2284",
      "to_node": "node_2285",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2285",
      "to_node": "node_2286",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006513)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2286",
      "to_node": "node_2287",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2287",
      "to_node": "node_2288",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2289",
      "to_node": "node_2290",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005957)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2290",
      "to_node": "node_2291",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005215)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2291",
      "to_node": "node_2292",
      "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_2292",
      "to_node": "node_2293",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005408)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2293",
      "to_node": "node_2294",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.186)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2294",
      "to_node": "node_2295",
      "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_2295",
      "to_node": "node_2296",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2297",
      "to_node": "node_2298",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005521)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2298",
      "to_node": "node_2299",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002934)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2299",
      "to_node": "node_2300",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006270)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2300",
      "to_node": "node_2301",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.185)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2301",
      "to_node": "node_2302",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2302",
      "to_node": "node_2303",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2303",
      "to_node": "node_2304",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2305",
      "to_node": "node_2306",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2306",
      "to_node": "node_2307",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2307",
      "to_node": "node_2308",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2308",
      "to_node": "node_2309",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.211)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2309",
      "to_node": "node_2310",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2310",
      "to_node": "node_2311",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.401)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2311",
      "to_node": "node_2312",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2312",
      "to_node": "node_2313",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2314",
      "to_node": "node_2315",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005262)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2315",
      "to_node": "node_2316",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.351)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2316",
      "to_node": "node_2317",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2317",
      "to_node": "node_2318",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2318",
      "to_node": "node_2319",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2320",
      "to_node": "node_2321",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.661)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2321",
      "to_node": "node_2322",
      "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_2322",
      "to_node": "node_2323",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.460)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2323",
      "to_node": "node_2324",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2324",
      "to_node": "node_2325",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006434)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2325",
      "to_node": "node_2326",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2326",
      "to_node": "node_2327",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2328",
      "to_node": "node_2329",
      "edge_type": "modification",
      "reasoning": "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_2329",
      "to_node": "node_2330",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.616)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2330",
      "to_node": "node_2331",
      "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_2331",
      "to_node": "node_2332",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004188)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2332",
      "to_node": "node_2333",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006117)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2333",
      "to_node": "node_2334",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.447)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2334",
      "to_node": "node_2335",
      "edge_type": "modification",
      "reasoning": "Increase 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_2335",
      "to_node": "node_2336",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2337",
      "to_node": "node_2338",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2338",
      "to_node": "node_2339",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004325)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2339",
      "to_node": "node_2340",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2340",
      "to_node": "node_2341",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006139)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2341",
      "to_node": "node_2342",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2342",
      "to_node": "node_2343",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006148)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "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, 1.120)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2344",
      "to_node": "node_2345",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2346",
      "to_node": "node_2347",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007202)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2347",
      "to_node": "node_2348",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006304)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2348",
      "to_node": "node_2349",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006366)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2349",
      "to_node": "node_2350",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2350",
      "to_node": "node_2351",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.600)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2351",
      "to_node": "node_2352",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2352",
      "to_node": "node_2353",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2354",
      "to_node": "node_2355",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005235)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2355",
      "to_node": "node_2356",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.330)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2356",
      "to_node": "node_2357",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2357",
      "to_node": "node_2358",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006078)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2358",
      "to_node": "node_2359",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005172)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2359",
      "to_node": "node_2360",
      "edge_type": "modification",
      "reasoning": "Increase 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_2360",
      "to_node": "node_2361",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2362",
      "to_node": "node_2363",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2363",
      "to_node": "node_2364",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.284)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2364",
      "to_node": "node_2365",
      "edge_type": "modification",
      "reasoning": "Increase 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_2365",
      "to_node": "node_2366",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2366",
      "to_node": "node_2367",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2368",
      "to_node": "node_2369",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003384)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2369",
      "to_node": "node_2370",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006153)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2370",
      "to_node": "node_2371",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006093)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2371",
      "to_node": "node_2372",
      "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_2372",
      "to_node": "node_2373",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2374",
      "to_node": "node_2375",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.520)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2375",
      "to_node": "node_2376",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004226)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2376",
      "to_node": "node_2377",
      "edge_type": "modification",
      "reasoning": "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_2377",
      "to_node": "node_2378",
      "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_2378",
      "to_node": "node_2379",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.339)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2379",
      "to_node": "node_2380",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.572)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2380",
      "to_node": "node_2381",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2382",
      "to_node": "node_2383",
      "edge_type": "modification",
      "reasoning": "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_2383",
      "to_node": "node_2384",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004865)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2384",
      "to_node": "node_2385",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004701)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2385",
      "to_node": "node_2386",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2386",
      "to_node": "node_2387",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002895)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2387",
      "to_node": "node_2388",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2388",
      "to_node": "node_2389",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2390",
      "to_node": "node_2391",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006777)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2391",
      "to_node": "node_2392",
      "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,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2392",
      "to_node": "node_2393",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2393",
      "to_node": "node_2394",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005234)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2394",
      "to_node": "node_2395",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.376)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2395",
      "to_node": "node_2396",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2397",
      "to_node": "node_2398",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004585)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2398",
      "to_node": "node_2399",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.003004)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2399",
      "to_node": "node_2400",
      "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_2400",
      "to_node": "node_2401",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.406)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2401",
      "to_node": "node_2402",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2402",
      "to_node": "node_2403",
      "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_2403",
      "to_node": "node_2404",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2405",
      "to_node": "node_2406",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2406",
      "to_node": "node_2407",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2407",
      "to_node": "node_2408",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2408",
      "to_node": "node_2409",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2410",
      "to_node": "node_2411",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2411",
      "to_node": "node_2412",
      "edge_type": "modification",
      "reasoning": "Increase 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_2412",
      "to_node": "node_2413",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.431)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2413",
      "to_node": "node_2414",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2415",
      "to_node": "node_2416",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.235)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2416",
      "to_node": "node_2417",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003494)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2417",
      "to_node": "node_2418",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2418",
      "to_node": "node_2419",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2419",
      "to_node": "node_2420",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006239)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2420",
      "to_node": "node_2421",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_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
    },
    {
      "from_node": "node_2423",
      "to_node": "node_2424",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.326)",
      "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 1 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2425",
      "to_node": "node_2426",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2426",
      "to_node": "node_2427",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2428",
      "to_node": "node_2429",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2429",
      "to_node": "node_2430",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2430",
      "to_node": "node_2431",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2431",
      "to_node": "node_2432",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2433",
      "to_node": "node_2434",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2434",
      "to_node": "node_2435",
      "edge_type": "modification",
      "reasoning": "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_2435",
      "to_node": "node_2436",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2436",
      "to_node": "node_2437",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2437",
      "to_node": "node_2438",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.214)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2438",
      "to_node": "node_2439",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2440",
      "to_node": "node_2441",
      "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_2441",
      "to_node": "node_2442",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.546)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2442",
      "to_node": "node_2443",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.230)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2443",
      "to_node": "node_2444",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2444",
      "to_node": "node_2445",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2445",
      "to_node": "node_2446",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2447",
      "to_node": "node_2448",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.616)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2448",
      "to_node": "node_2449",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005779)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2449",
      "to_node": "node_2450",
      "edge_type": "modification",
      "reasoning": "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_2450",
      "to_node": "node_2451",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2451",
      "to_node": "node_2452",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2452",
      "to_node": "node_2453",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2454",
      "to_node": "node_2455",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2455",
      "to_node": "node_2456",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2456",
      "to_node": "node_2457",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2457",
      "to_node": "node_2458",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2458",
      "to_node": "node_2459",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.330)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2459",
      "to_node": "node_2460",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2461",
      "to_node": "node_2462",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005661)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2462",
      "to_node": "node_2463",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005916)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2463",
      "to_node": "node_2464",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2464",
      "to_node": "node_2465",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.319)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2465",
      "to_node": "node_2466",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2467",
      "to_node": "node_2468",
      "edge_type": "modification",
      "reasoning": "Increase 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_2468",
      "to_node": "node_2469",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.258)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2469",
      "to_node": "node_2470",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2470",
      "to_node": "node_2471",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.335)",
      "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 7 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.389)",
      "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 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_2473",
      "to_node": "node_2474",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2475",
      "to_node": "node_2476",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.176)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2476",
      "to_node": "node_2477",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006220)",
      "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": "Increase 5 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2478",
      "to_node": "node_2479",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.637)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2479",
      "to_node": "node_2480",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005292)",
      "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 0 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.337)",
      "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 all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2482",
      "to_node": "node_2483",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2484",
      "to_node": "node_2485",
      "edge_type": "modification",
      "reasoning": "Increase 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_2485",
      "to_node": "node_2486",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2486",
      "to_node": "node_2487",
      "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_2487",
      "to_node": "node_2488",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2488",
      "to_node": "node_2489",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2490",
      "to_node": "node_2491",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2491",
      "to_node": "node_2492",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004378)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2492",
      "to_node": "node_2493",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2493",
      "to_node": "node_2494",
      "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_2494",
      "to_node": "node_2495",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2496",
      "to_node": "node_2497",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2497",
      "to_node": "node_2498",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.587)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2498",
      "to_node": "node_2499",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.357)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2499",
      "to_node": "node_2500",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2500",
      "to_node": "node_2501",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2502",
      "to_node": "node_2503",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2503",
      "to_node": "node_2504",
      "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_2504",
      "to_node": "node_2505",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2505",
      "to_node": "node_2506",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.337)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2506",
      "to_node": "node_2507",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2508",
      "to_node": "node_2509",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.412)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2509",
      "to_node": "node_2510",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.192)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2510",
      "to_node": "node_2511",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2511",
      "to_node": "node_2512",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2513",
      "to_node": "node_2514",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.266)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2514",
      "to_node": "node_2515",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002207)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2515",
      "to_node": "node_2516",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.555)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2516",
      "to_node": "node_2517",
      "edge_type": "modification",
      "reasoning": "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_2517",
      "to_node": "node_2518",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2518",
      "to_node": "node_2519",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.529)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2519",
      "to_node": "node_2520",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2521",
      "to_node": "node_2522",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007227)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2522",
      "to_node": "node_2523",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006149)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2523",
      "to_node": "node_2524",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2524",
      "to_node": "node_2525",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002866)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2525",
      "to_node": "node_2526",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.321)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2526",
      "to_node": "node_2527",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2528",
      "to_node": "node_2529",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.634)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2529",
      "to_node": "node_2530",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2530",
      "to_node": "node_2531",
      "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_2531",
      "to_node": "node_2532",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.370)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2532",
      "to_node": "node_2533",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2534",
      "to_node": "node_2535",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2535",
      "to_node": "node_2536",
      "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_2536",
      "to_node": "node_2537",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.309)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2537",
      "to_node": "node_2538",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.433)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2538",
      "to_node": "node_2539",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2540",
      "to_node": "node_2541",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2541",
      "to_node": "node_2542",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006649)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2542",
      "to_node": "node_2543",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005625)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2543",
      "to_node": "node_2544",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.366)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2544",
      "to_node": "node_2545",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2545",
      "to_node": "node_2546",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.656)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2546",
      "to_node": "node_2547",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.337)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2547",
      "to_node": "node_2548",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2549",
      "to_node": "node_2550",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.418)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2550",
      "to_node": "node_2551",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.488)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2551",
      "to_node": "node_2552",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2552",
      "to_node": "node_2553",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2554",
      "to_node": "node_2555",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005447)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2555",
      "to_node": "node_2556",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002895)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2556",
      "to_node": "node_2557",
      "edge_type": "modification",
      "reasoning": "Increase 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_2557",
      "to_node": "node_2558",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2559",
      "to_node": "node_2560",
      "edge_type": "modification",
      "reasoning": "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_2560",
      "to_node": "node_2561",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.433)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2561",
      "to_node": "node_2562",
      "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_2562",
      "to_node": "node_2563",
      "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_2563",
      "to_node": "node_2564",
      "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_2564",
      "to_node": "node_2565",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2566",
      "to_node": "node_2567",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.002220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2567",
      "to_node": "node_2568",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.003665)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2568",
      "to_node": "node_2569",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.391)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2569",
      "to_node": "node_2570",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2570",
      "to_node": "node_2571",
      "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_2571",
      "to_node": "node_2572",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006268)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2572",
      "to_node": "node_2573",
      "edge_type": "modification",
      "reasoning": "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_2573",
      "to_node": "node_2574",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2575",
      "to_node": "node_2576",
      "edge_type": "modification",
      "reasoning": "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_2576",
      "to_node": "node_2577",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2577",
      "to_node": "node_2578",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.183)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2578",
      "to_node": "node_2579",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.287)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2579",
      "to_node": "node_2580",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2581",
      "to_node": "node_2582",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.274)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2582",
      "to_node": "node_2583",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.381)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2583",
      "to_node": "node_2584",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.468)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2584",
      "to_node": "node_2585",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004594)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2585",
      "to_node": "node_2586",
      "edge_type": "modification",
      "reasoning": "Increase 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_2586",
      "to_node": "node_2587",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2587",
      "to_node": "node_2588",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2589",
      "to_node": "node_2590",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004926)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2590",
      "to_node": "node_2591",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005459)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2591",
      "to_node": "node_2592",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2592",
      "to_node": "node_2593",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.311)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2593",
      "to_node": "node_2594",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2595",
      "to_node": "node_2596",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2596",
      "to_node": "node_2597",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2597",
      "to_node": "node_2598",
      "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_2598",
      "to_node": "node_2599",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2599",
      "to_node": "node_2600",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.176)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2600",
      "to_node": "node_2601",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.269)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2601",
      "to_node": "node_2602",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.337)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2602",
      "to_node": "node_2603",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2604",
      "to_node": "node_2605",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006375)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2605",
      "to_node": "node_2606",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003716)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2606",
      "to_node": "node_2607",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.658)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2607",
      "to_node": "node_2608",
      "edge_type": "modification",
      "reasoning": "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_2608",
      "to_node": "node_2609",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2610",
      "to_node": "node_2611",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2611",
      "to_node": "node_2612",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2612",
      "to_node": "node_2613",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2614",
      "to_node": "node_2615",
      "edge_type": "modification",
      "reasoning": "Increase 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_2615",
      "to_node": "node_2616",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.437)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2616",
      "to_node": "node_2617",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2617",
      "to_node": "node_2618",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.185)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2618",
      "to_node": "node_2619",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006358)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2619",
      "to_node": "node_2620",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005566)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2620",
      "to_node": "node_2621",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2621",
      "to_node": "node_2622",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2623",
      "to_node": "node_2624",
      "edge_type": "modification",
      "reasoning": "Increase 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_2624",
      "to_node": "node_2625",
      "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_2625",
      "to_node": "node_2626",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.238)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2626",
      "to_node": "node_2627",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2627",
      "to_node": "node_2628",
      "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_2628",
      "to_node": "node_2629",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.368)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2629",
      "to_node": "node_2630",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2630",
      "to_node": "node_2631",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2632",
      "to_node": "node_2633",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.541)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2633",
      "to_node": "node_2634",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004576)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2634",
      "to_node": "node_2635",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2635",
      "to_node": "node_2636",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005125)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2636",
      "to_node": "node_2637",
      "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_2637",
      "to_node": "node_2638",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2638",
      "to_node": "node_2639",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2640",
      "to_node": "node_2641",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.570)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2641",
      "to_node": "node_2642",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2642",
      "to_node": "node_2643",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2643",
      "to_node": "node_2644",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.479)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2644",
      "to_node": "node_2645",
      "edge_type": "modification",
      "reasoning": "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_2645",
      "to_node": "node_2646",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2646",
      "to_node": "node_2647",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2648",
      "to_node": "node_2649",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.238)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2649",
      "to_node": "node_2650",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2650",
      "to_node": "node_2651",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2651",
      "to_node": "node_2652",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.242)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2652",
      "to_node": "node_2653",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2653",
      "to_node": "node_2654",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2655",
      "to_node": "node_2656",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.311)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2656",
      "to_node": "node_2657",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2657",
      "to_node": "node_2658",
      "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,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2658",
      "to_node": "node_2659",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005707)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2659",
      "to_node": "node_2660",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006481)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2660",
      "to_node": "node_2661",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.248)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2661",
      "to_node": "node_2662",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2663",
      "to_node": "node_2664",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2664",
      "to_node": "node_2665",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004575)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2665",
      "to_node": "node_2666",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2666",
      "to_node": "node_2667",
      "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_2667",
      "to_node": "node_2668",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003391)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2668",
      "to_node": "node_2669",
      "edge_type": "modification",
      "reasoning": "Increase 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_2669",
      "to_node": "node_2670",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2671",
      "to_node": "node_2672",
      "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_2672",
      "to_node": "node_2673",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.433)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2673",
      "to_node": "node_2674",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003071)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2674",
      "to_node": "node_2675",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2675",
      "to_node": "node_2676",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2677",
      "to_node": "node_2678",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.294)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2678",
      "to_node": "node_2679",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.182)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2679",
      "to_node": "node_2680",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2680",
      "to_node": "node_2681",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2682",
      "to_node": "node_2683",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2683",
      "to_node": "node_2684",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.565)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2684",
      "to_node": "node_2685",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2685",
      "to_node": "node_2686",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.527)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2686",
      "to_node": "node_2687",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2687",
      "to_node": "node_2688",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2688",
      "to_node": "node_2689",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2690",
      "to_node": "node_2691",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004312)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2691",
      "to_node": "node_2692",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.431)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2692",
      "to_node": "node_2693",
      "edge_type": "modification",
      "reasoning": "Increase 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_2693",
      "to_node": "node_2694",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2695",
      "to_node": "node_2696",
      "edge_type": "modification",
      "reasoning": "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_2696",
      "to_node": "node_2697",
      "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_2697",
      "to_node": "node_2698",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2698",
      "to_node": "node_2699",
      "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_2699",
      "to_node": "node_2700",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.558)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2700",
      "to_node": "node_2701",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2702",
      "to_node": "node_2703",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2703",
      "to_node": "node_2704",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2704",
      "to_node": "node_2705",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.366)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2705",
      "to_node": "node_2706",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.543)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2706",
      "to_node": "node_2707",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2708",
      "to_node": "node_2709",
      "edge_type": "modification",
      "reasoning": "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_2709",
      "to_node": "node_2710",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005468)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2710",
      "to_node": "node_2711",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2711",
      "to_node": "node_2712",
      "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_2712",
      "to_node": "node_2713",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2714",
      "to_node": "node_2715",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.495)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2715",
      "to_node": "node_2716",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.580)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2716",
      "to_node": "node_2717",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006732)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2717",
      "to_node": "node_2718",
      "edge_type": "modification",
      "reasoning": "Increase 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_2718",
      "to_node": "node_2719",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.295)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2719",
      "to_node": "node_2720",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2720",
      "to_node": "node_2721",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2721",
      "to_node": "node_2722",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2723",
      "to_node": "node_2724",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005494)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2724",
      "to_node": "node_2725",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2725",
      "to_node": "node_2726",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.241)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2726",
      "to_node": "node_2727",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2728",
      "to_node": "node_2729",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.221)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2729",
      "to_node": "node_2730",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2730",
      "to_node": "node_2731",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "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": "Increase 4 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.230)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2732",
      "to_node": "node_2733",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2734",
      "to_node": "node_2735",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2735",
      "to_node": "node_2736",
      "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_2736",
      "to_node": "node_2737",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2737",
      "to_node": "node_2738",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2738",
      "to_node": "node_2739",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2739",
      "to_node": "node_2740",
      "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_2740",
      "to_node": "node_2741",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2742",
      "to_node": "node_2743",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.600)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2743",
      "to_node": "node_2744",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004558)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2744",
      "to_node": "node_2745",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2745",
      "to_node": "node_2746",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006285)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2746",
      "to_node": "node_2747",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.287)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2747",
      "to_node": "node_2748",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2748",
      "to_node": "node_2749",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2749",
      "to_node": "node_2750",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2751",
      "to_node": "node_2752",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2752",
      "to_node": "node_2753",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2753",
      "to_node": "node_2754",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.451)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2754",
      "to_node": "node_2755",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2756",
      "to_node": "node_2757",
      "edge_type": "modification",
      "reasoning": "Increase 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_2757",
      "to_node": "node_2758",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005279)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2758",
      "to_node": "node_2759",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2759",
      "to_node": "node_2760",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.372)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2760",
      "to_node": "node_2761",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2762",
      "to_node": "node_2763",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2763",
      "to_node": "node_2764",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.558)",
      "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": "Increase 7 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.205)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2765",
      "to_node": "node_2766",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005962)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2766",
      "to_node": "node_2767",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2767",
      "to_node": "node_2768",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2768",
      "to_node": "node_2769",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2769",
      "to_node": "node_2770",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 5 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.506)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2772",
      "to_node": "node_2773",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.420)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2773",
      "to_node": "node_2774",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "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 1 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.188)",
      "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 0 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.577)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2778",
      "to_node": "node_2779",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2779",
      "to_node": "node_2780",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2780",
      "to_node": "node_2781",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2781",
      "to_node": "node_2782",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.183)",
      "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": "Increase 2 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.267)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2783",
      "to_node": "node_2784",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2785",
      "to_node": "node_2786",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004295)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2786",
      "to_node": "node_2787",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005078)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2787",
      "to_node": "node_2788",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005048)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2788",
      "to_node": "node_2789",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2789",
      "to_node": "node_2790",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005751)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2790",
      "to_node": "node_2791",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2791",
      "to_node": "node_2792",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2793",
      "to_node": "node_2794",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002793)",
      "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": "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_2795",
      "to_node": "node_2796",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2796",
      "to_node": "node_2797",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2798",
      "to_node": "node_2799",
      "edge_type": "modification",
      "reasoning": "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_2799",
      "to_node": "node_2800",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005929)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2800",
      "to_node": "node_2801",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003941)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2801",
      "to_node": "node_2802",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2802",
      "to_node": "node_2803",
      "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_2803",
      "to_node": "node_2804",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2805",
      "to_node": "node_2806",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "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 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2807",
      "to_node": "node_2808",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2808",
      "to_node": "node_2809",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2810",
      "to_node": "node_2811",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2811",
      "to_node": "node_2812",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007007)",
      "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 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006195)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2813",
      "to_node": "node_2814",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2814",
      "to_node": "node_2815",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2815",
      "to_node": "node_2816",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.570)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2816",
      "to_node": "node_2817",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2818",
      "to_node": "node_2819",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2819",
      "to_node": "node_2820",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.418)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2820",
      "to_node": "node_2821",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.294)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2821",
      "to_node": "node_2822",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.560)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2822",
      "to_node": "node_2823",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2823",
      "to_node": "node_2824",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.511)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2824",
      "to_node": "node_2825",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_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": "Increase 8 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.499)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2827",
      "to_node": "node_2828",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.499)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2828",
      "to_node": "node_2829",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 8 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.464)",
      "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": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006048)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2833",
      "to_node": "node_2834",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.230)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2834",
      "to_node": "node_2835",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2835",
      "to_node": "node_2836",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2838",
      "to_node": "node_2839",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.408)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2839",
      "to_node": "node_2840",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 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_2843",
      "to_node": "node_2844",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "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 0 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.488)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2847",
      "to_node": "node_2848",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2848",
      "to_node": "node_2849",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2849",
      "to_node": "node_2850",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2850",
      "to_node": "node_2851",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.376)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2851",
      "to_node": "node_2852",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.221)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2852",
      "to_node": "node_2853",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.376)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2853",
      "to_node": "node_2854",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2855",
      "to_node": "node_2856",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.471)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2856",
      "to_node": "node_2857",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2857",
      "to_node": "node_2858",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2858",
      "to_node": "node_2859",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.647)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2859",
      "to_node": "node_2860",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.212)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2860",
      "to_node": "node_2861",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2862",
      "to_node": "node_2863",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2863",
      "to_node": "node_2864",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.330)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2864",
      "to_node": "node_2865",
      "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_2865",
      "to_node": "node_2866",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2867",
      "to_node": "node_2868",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2868",
      "to_node": "node_2869",
      "edge_type": "modification",
      "reasoning": "Increase 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_2869",
      "to_node": "node_2870",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.531)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2870",
      "to_node": "node_2871",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.608)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2871",
      "to_node": "node_2872",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.348)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2872",
      "to_node": "node_2873",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2874",
      "to_node": "node_2875",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004330)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2875",
      "to_node": "node_2876",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2876",
      "to_node": "node_2877",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2877",
      "to_node": "node_2878",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.285)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2878",
      "to_node": "node_2879",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2880",
      "to_node": "node_2881",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006123)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2881",
      "to_node": "node_2882",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.242)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2882",
      "to_node": "node_2883",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2883",
      "to_node": "node_2884",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2885",
      "to_node": "node_2886",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2886",
      "to_node": "node_2887",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2887",
      "to_node": "node_2888",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2889",
      "to_node": "node_2890",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006023)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2890",
      "to_node": "node_2891",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.222)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2891",
      "to_node": "node_2892",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003346)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2892",
      "to_node": "node_2893",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006083)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2893",
      "to_node": "node_2894",
      "edge_type": "modification",
      "reasoning": "Increase 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_2894",
      "to_node": "node_2895",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2896",
      "to_node": "node_2897",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005428)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2897",
      "to_node": "node_2898",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2898",
      "to_node": "node_2899",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2899",
      "to_node": "node_2900",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.437)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2900",
      "to_node": "node_2901",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2901",
      "to_node": "node_2902",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2902",
      "to_node": "node_2903",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2904",
      "to_node": "node_2905",
      "edge_type": "modification",
      "reasoning": "Increase 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_2905",
      "to_node": "node_2906",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2906",
      "to_node": "node_2907",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2907",
      "to_node": "node_2908",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.332)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2908",
      "to_node": "node_2909",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2910",
      "to_node": "node_2911",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2911",
      "to_node": "node_2912",
      "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_2912",
      "to_node": "node_2913",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.253)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2913",
      "to_node": "node_2914",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2914",
      "to_node": "node_2915",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2916",
      "to_node": "node_2917",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.610)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2917",
      "to_node": "node_2918",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.616)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2918",
      "to_node": "node_2919",
      "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_2919",
      "to_node": "node_2920",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2920",
      "to_node": "node_2921",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2922",
      "to_node": "node_2923",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004333)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2923",
      "to_node": "node_2924",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004529)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2924",
      "to_node": "node_2925",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2925",
      "to_node": "node_2926",
      "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_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,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2928",
      "to_node": "node_2929",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.629)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2929",
      "to_node": "node_2930",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005583)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2930",
      "to_node": "node_2931",
      "edge_type": "modification",
      "reasoning": "Increase 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_2931",
      "to_node": "node_2932",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005528)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2932",
      "to_node": "node_2933",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2933",
      "to_node": "node_2934",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2935",
      "to_node": "node_2936",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.318)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2936",
      "to_node": "node_2937",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2937",
      "to_node": "node_2938",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.414)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2938",
      "to_node": "node_2939",
      "edge_type": "modification",
      "reasoning": "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_2939",
      "to_node": "node_2940",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.330)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2940",
      "to_node": "node_2941",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2942",
      "to_node": "node_2943",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2943",
      "to_node": "node_2944",
      "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_2944",
      "to_node": "node_2945",
      "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_2945",
      "to_node": "node_2946",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.272)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2946",
      "to_node": "node_2947",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.497)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2947",
      "to_node": "node_2948",
      "edge_type": "modification",
      "reasoning": "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_2948",
      "to_node": "node_2949",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.534)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2949",
      "to_node": "node_2950",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2951",
      "to_node": "node_2952",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005835)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2952",
      "to_node": "node_2953",
      "edge_type": "modification",
      "reasoning": "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_2953",
      "to_node": "node_2954",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.304)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2954",
      "to_node": "node_2955",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2955",
      "to_node": "node_2956",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2956",
      "to_node": "node_2957",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "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,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2959",
      "to_node": "node_2960",
      "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_2960",
      "to_node": "node_2961",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005117)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2961",
      "to_node": "node_2962",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002814)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2962",
      "to_node": "node_2963",
      "edge_type": "modification",
      "reasoning": "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_2963",
      "to_node": "node_2964",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2964",
      "to_node": "node_2965",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Increase 6 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.181)",
      "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": "Increase 2 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.203)",
      "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 1 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.462)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2969",
      "to_node": "node_2970",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004994)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2970",
      "to_node": "node_2971",
      "edge_type": "modification",
      "reasoning": "Increase 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_2971",
      "to_node": "node_2972",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2972",
      "to_node": "node_2973",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2973",
      "to_node": "node_2974",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2975",
      "to_node": "node_2976",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003254)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2976",
      "to_node": "node_2977",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2977",
      "to_node": "node_2978",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.342)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2978",
      "to_node": "node_2979",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2980",
      "to_node": "node_2981",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002341)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2981",
      "to_node": "node_2982",
      "edge_type": "modification",
      "reasoning": "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_2982",
      "to_node": "node_2983",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.302)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2983",
      "to_node": "node_2984",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.259)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2984",
      "to_node": "node_2985",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004967)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2985",
      "to_node": "node_2986",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_2986",
      "to_node": "node_2987",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2987",
      "to_node": "node_2988",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2989",
      "to_node": "node_2990",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.422)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2990",
      "to_node": "node_2991",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.393)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2991",
      "to_node": "node_2992",
      "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_2992",
      "to_node": "node_2993",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2993",
      "to_node": "node_2994",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2995",
      "to_node": "node_2996",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.203)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2996",
      "to_node": "node_2997",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005270)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2997",
      "to_node": "node_2998",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.616)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2998",
      "to_node": "node_2999",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.570)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2999",
      "to_node": "node_3000",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3000",
      "to_node": "node_3001",
      "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_3001",
      "to_node": "node_3002",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3003",
      "to_node": "node_3004",
      "edge_type": "modification",
      "reasoning": "Increase 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_3004",
      "to_node": "node_3005",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005204)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3005",
      "to_node": "node_3006",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3006",
      "to_node": "node_3007",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.403)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3007",
      "to_node": "node_3008",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.239)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3008",
      "to_node": "node_3009",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.183)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3009",
      "to_node": "node_3010",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3011",
      "to_node": "node_3012",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3012",
      "to_node": "node_3013",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3013",
      "to_node": "node_3014",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.466)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3014",
      "to_node": "node_3015",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3016",
      "to_node": "node_3017",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_3017",
      "to_node": "node_3018",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.337)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3018",
      "to_node": "node_3019",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006245)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3019",
      "to_node": "node_3020",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.346)",
      "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 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_3021",
      "to_node": "node_3022",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3023",
      "to_node": "node_3024",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.410)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3024",
      "to_node": "node_3025",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.490)",
      "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": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005704)",
      "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 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_3027",
      "to_node": "node_3028",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3028",
      "to_node": "node_3029",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3029",
      "to_node": "node_3030",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3031",
      "to_node": "node_3032",
      "edge_type": "modification",
      "reasoning": "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_3032",
      "to_node": "node_3033",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004633)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3033",
      "to_node": "node_3034",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_3034",
      "to_node": "node_3035",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3035",
      "to_node": "node_3036",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3037",
      "to_node": "node_3038",
      "edge_type": "modification",
      "reasoning": "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_3038",
      "to_node": "node_3039",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3039",
      "to_node": "node_3040",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3040",
      "to_node": "node_3041",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3041",
      "to_node": "node_3042",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3043",
      "to_node": "node_3044",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.447)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3044",
      "to_node": "node_3045",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3045",
      "to_node": "node_3046",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3046",
      "to_node": "node_3047",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.387)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3047",
      "to_node": "node_3048",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3048",
      "to_node": "node_3049",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3049",
      "to_node": "node_3050",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3051",
      "to_node": "node_3052",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004579)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3052",
      "to_node": "node_3053",
      "edge_type": "modification",
      "reasoning": "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_3053",
      "to_node": "node_3054",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3054",
      "to_node": "node_3055",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3056",
      "to_node": "node_3057",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.493)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3057",
      "to_node": "node_3058",
      "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_3058",
      "to_node": "node_3059",
      "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_3059",
      "to_node": "node_3060",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3060",
      "to_node": "node_3061",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3062",
      "to_node": "node_3063",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3063",
      "to_node": "node_3064",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.353)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3064",
      "to_node": "node_3065",
      "edge_type": "modification",
      "reasoning": "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_3065",
      "to_node": "node_3066",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006460)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3066",
      "to_node": "node_3067",
      "edge_type": "modification",
      "reasoning": "Increase 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_3067",
      "to_node": "node_3068",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3069",
      "to_node": "node_3070",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.477)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3070",
      "to_node": "node_3071",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006764)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3071",
      "to_node": "node_3072",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.351)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3072",
      "to_node": "node_3073",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3073",
      "to_node": "node_3074",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3075",
      "to_node": "node_3076",
      "edge_type": "modification",
      "reasoning": "Increase 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_3076",
      "to_node": "node_3077",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3077",
      "to_node": "node_3078",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.479)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3078",
      "to_node": "node_3079",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3079",
      "to_node": "node_3080",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3080",
      "to_node": "node_3081",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3082",
      "to_node": "node_3083",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3083",
      "to_node": "node_3084",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3084",
      "to_node": "node_3085",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.580)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3085",
      "to_node": "node_3086",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.370)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3086",
      "to_node": "node_3087",
      "edge_type": "modification",
      "reasoning": "Increase 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_3087",
      "to_node": "node_3088",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3088",
      "to_node": "node_3089",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3090",
      "to_node": "node_3091",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006332)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3091",
      "to_node": "node_3092",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006394)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3092",
      "to_node": "node_3093",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.437)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3093",
      "to_node": "node_3094",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3094",
      "to_node": "node_3095",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.572)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3095",
      "to_node": "node_3096",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3096",
      "to_node": "node_3097",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3098",
      "to_node": "node_3099",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003627)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3099",
      "to_node": "node_3100",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_3100",
      "to_node": "node_3101",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3101",
      "to_node": "node_3102",
      "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_3102",
      "to_node": "node_3103",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3103",
      "to_node": "node_3104",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3105",
      "to_node": "node_3106",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3106",
      "to_node": "node_3107",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3107",
      "to_node": "node_3108",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.613)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3108",
      "to_node": "node_3109",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3110",
      "to_node": "node_3111",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3111",
      "to_node": "node_3112",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.364)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3112",
      "to_node": "node_3113",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.195)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3113",
      "to_node": "node_3114",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3114",
      "to_node": "node_3115",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.238)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3115",
      "to_node": "node_3116",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3116",
      "to_node": "node_3117",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3118",
      "to_node": "node_3119",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.527)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3119",
      "to_node": "node_3120",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.241)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3120",
      "to_node": "node_3121",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_3121",
      "to_node": "node_3122",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3123",
      "to_node": "node_3124",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002170)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3124",
      "to_node": "node_3125",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3125",
      "to_node": "node_3126",
      "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_3126",
      "to_node": "node_3127",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006834)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3127",
      "to_node": "node_3128",
      "edge_type": "modification",
      "reasoning": "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_3128",
      "to_node": "node_3129",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3129",
      "to_node": "node_3130",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.429)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3130",
      "to_node": "node_3131",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3132",
      "to_node": "node_3133",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.238)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3133",
      "to_node": "node_3134",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006549)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3134",
      "to_node": "node_3135",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_3135",
      "to_node": "node_3136",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.328)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3136",
      "to_node": "node_3137",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3137",
      "to_node": "node_3138",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3138",
      "to_node": "node_3139",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.209)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3139",
      "to_node": "node_3140",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3141",
      "to_node": "node_3142",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3142",
      "to_node": "node_3143",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3143",
      "to_node": "node_3144",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3144",
      "to_node": "node_3145",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3146",
      "to_node": "node_3147",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.285)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3147",
      "to_node": "node_3148",
      "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_3148",
      "to_node": "node_3149",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3149",
      "to_node": "node_3150",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.385)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3150",
      "to_node": "node_3151",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3151",
      "to_node": "node_3152",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3152",
      "to_node": "node_3153",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3154",
      "to_node": "node_3155",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.515)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3155",
      "to_node": "node_3156",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.181)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3156",
      "to_node": "node_3157",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.376)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3157",
      "to_node": "node_3158",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3159",
      "to_node": "node_3160",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3160",
      "to_node": "node_3161",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3161",
      "to_node": "node_3162",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3162",
      "to_node": "node_3163",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3163",
      "to_node": "node_3164",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3165",
      "to_node": "node_3166",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3166",
      "to_node": "node_3167",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3167",
      "to_node": "node_3168",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3168",
      "to_node": "node_3169",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3169",
      "to_node": "node_3170",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3170",
      "to_node": "node_3171",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3172",
      "to_node": "node_3173",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.002861)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3173",
      "to_node": "node_3174",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_3174",
      "to_node": "node_3175",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3175",
      "to_node": "node_3176",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3176",
      "to_node": "node_3177",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006118)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3177",
      "to_node": "node_3178",
      "edge_type": "modification",
      "reasoning": "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_3178",
      "to_node": "node_3179",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3180",
      "to_node": "node_3181",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3181",
      "to_node": "node_3182",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3182",
      "to_node": "node_3183",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.406)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3183",
      "to_node": "node_3184",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3184",
      "to_node": "node_3185",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3185",
      "to_node": "node_3186",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3187",
      "to_node": "node_3188",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.555)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3188",
      "to_node": "node_3189",
      "edge_type": "modification",
      "reasoning": "Increase 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_3189",
      "to_node": "node_3190",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3190",
      "to_node": "node_3191",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.381)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3191",
      "to_node": "node_3192",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3192",
      "to_node": "node_3193",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3194",
      "to_node": "node_3195",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.351)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3195",
      "to_node": "node_3196",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006277)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3196",
      "to_node": "node_3197",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.477)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3197",
      "to_node": "node_3198",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.297)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3198",
      "to_node": "node_3199",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3199",
      "to_node": "node_3200",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3200",
      "to_node": "node_3201",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3201",
      "to_node": "node_3202",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3203",
      "to_node": "node_3204",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006419)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3204",
      "to_node": "node_3205",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002987)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3205",
      "to_node": "node_3206",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_3206",
      "to_node": "node_3207",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3207",
      "to_node": "node_3208",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3209",
      "to_node": "node_3210",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_3210",
      "to_node": "node_3211",
      "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_3211",
      "to_node": "node_3212",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.003988)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3212",
      "to_node": "node_3213",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.511)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3213",
      "to_node": "node_3214",
      "edge_type": "modification",
      "reasoning": "Increase 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_3214",
      "to_node": "node_3215",
      "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_3215",
      "to_node": "node_3216",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3216",
      "to_node": "node_3217",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3218",
      "to_node": "node_3219",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006131)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3219",
      "to_node": "node_3220",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006963)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3220",
      "to_node": "node_3221",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.447)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3221",
      "to_node": "node_3222",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.626)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3222",
      "to_node": "node_3223",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3223",
      "to_node": "node_3224",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3224",
      "to_node": "node_3225",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.435)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3225",
      "to_node": "node_3226",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3227",
      "to_node": "node_3228",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.332)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3228",
      "to_node": "node_3229",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004083)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3229",
      "to_node": "node_3230",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3230",
      "to_node": "node_3231",
      "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_3231",
      "to_node": "node_3232",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006038)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3232",
      "to_node": "node_3233",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007138)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3233",
      "to_node": "node_3234",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3234",
      "to_node": "node_3235",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3236",
      "to_node": "node_3237",
      "edge_type": "modification",
      "reasoning": "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_3237",
      "to_node": "node_3238",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.218)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3238",
      "to_node": "node_3239",
      "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,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3239",
      "to_node": "node_3240",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3241",
      "to_node": "node_3242",
      "edge_type": "modification",
      "reasoning": "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_3242",
      "to_node": "node_3243",
      "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_3243",
      "to_node": "node_3244",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.558)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3244",
      "to_node": "node_3245",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3245",
      "to_node": "node_3246",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.355)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3246",
      "to_node": "node_3247",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.215)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3247",
      "to_node": "node_3248",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3249",
      "to_node": "node_3250",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.353)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3250",
      "to_node": "node_3251",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005292)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3251",
      "to_node": "node_3252",
      "edge_type": "modification",
      "reasoning": "Increase 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_3252",
      "to_node": "node_3253",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.458)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3253",
      "to_node": "node_3254",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3254",
      "to_node": "node_3255",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3256",
      "to_node": "node_3257",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3257",
      "to_node": "node_3258",
      "edge_type": "modification",
      "reasoning": "Increase 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_3258",
      "to_node": "node_3259",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3259",
      "to_node": "node_3260",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3260",
      "to_node": "node_3261",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3262",
      "to_node": "node_3263",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3263",
      "to_node": "node_3264",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.193)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3264",
      "to_node": "node_3265",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004870)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3265",
      "to_node": "node_3266",
      "edge_type": "modification",
      "reasoning": "Increase 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_3266",
      "to_node": "node_3267",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.235)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3267",
      "to_node": "node_3268",
      "edge_type": "modification",
      "reasoning": "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_3268",
      "to_node": "node_3269",
      "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_3269",
      "to_node": "node_3270",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3271",
      "to_node": "node_3272",
      "edge_type": "modification",
      "reasoning": "Increase 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_3272",
      "to_node": "node_3273",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.445)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3273",
      "to_node": "node_3274",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.361)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3274",
      "to_node": "node_3275",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3275",
      "to_node": "node_3276",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3277",
      "to_node": "node_3278",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.427)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3278",
      "to_node": "node_3279",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005094)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3279",
      "to_node": "node_3280",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.597)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3280",
      "to_node": "node_3281",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3282",
      "to_node": "node_3283",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3283",
      "to_node": "node_3284",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.610)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3284",
      "to_node": "node_3285",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007124)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3285",
      "to_node": "node_3286",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.321)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3286",
      "to_node": "node_3287",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.515)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3287",
      "to_node": "node_3288",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3288",
      "to_node": "node_3289",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3290",
      "to_node": "node_3291",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005037)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3291",
      "to_node": "node_3292",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_3292",
      "to_node": "node_3293",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3293",
      "to_node": "node_3294",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.368)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3294",
      "to_node": "node_3295",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3295",
      "to_node": "node_3296",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3297",
      "to_node": "node_3298",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.182)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3298",
      "to_node": "node_3299",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006146)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3299",
      "to_node": "node_3300",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3300",
      "to_node": "node_3301",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3302",
      "to_node": "node_3303",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.203)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3303",
      "to_node": "node_3304",
      "edge_type": "modification",
      "reasoning": "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_3304",
      "to_node": "node_3305",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006100)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3305",
      "to_node": "node_3306",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_3306",
      "to_node": "node_3307",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3308",
      "to_node": "node_3309",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.300)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3309",
      "to_node": "node_3310",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.553)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3310",
      "to_node": "node_3311",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006869)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3311",
      "to_node": "node_3312",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006910)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3312",
      "to_node": "node_3313",
      "edge_type": "modification",
      "reasoning": "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_3313",
      "to_node": "node_3314",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3315",
      "to_node": "node_3316",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_3316",
      "to_node": "node_3317",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3317",
      "to_node": "node_3318",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3318",
      "to_node": "node_3319",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3320",
      "to_node": "node_3321",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.200)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3321",
      "to_node": "node_3322",
      "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_3322",
      "to_node": "node_3323",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005750)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3323",
      "to_node": "node_3324",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3324",
      "to_node": "node_3325",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3325",
      "to_node": "node_3326",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3327",
      "to_node": "node_3328",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.511)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3328",
      "to_node": "node_3329",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006514)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3329",
      "to_node": "node_3330",
      "edge_type": "modification",
      "reasoning": "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_3330",
      "to_node": "node_3331",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.493)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3331",
      "to_node": "node_3332",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3333",
      "to_node": "node_3334",
      "edge_type": "modification",
      "reasoning": "Increase 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_3334",
      "to_node": "node_3335",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004659)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3335",
      "to_node": "node_3336",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3336",
      "to_node": "node_3337",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3337",
      "to_node": "node_3338",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3338",
      "to_node": "node_3339",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.546)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3339",
      "to_node": "node_3340",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3341",
      "to_node": "node_3342",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.506)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3342",
      "to_node": "node_3343",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3343",
      "to_node": "node_3344",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.205)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3344",
      "to_node": "node_3345",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005283)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3345",
      "to_node": "node_3346",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.441)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3346",
      "to_node": "node_3347",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.541)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3347",
      "to_node": "node_3348",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3348",
      "to_node": "node_3349",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3350",
      "to_node": "node_3351",
      "edge_type": "modification",
      "reasoning": "Increase 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_3351",
      "to_node": "node_3352",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.183)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3352",
      "to_node": "node_3353",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3353",
      "to_node": "node_3354",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3354",
      "to_node": "node_3355",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.287)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3355",
      "to_node": "node_3356",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.318)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3356",
      "to_node": "node_3357",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3357",
      "to_node": "node_3358",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3359",
      "to_node": "node_3360",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3360",
      "to_node": "node_3361",
      "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_3361",
      "to_node": "node_3362",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003357)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3362",
      "to_node": "node_3363",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.427)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3363",
      "to_node": "node_3364",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.205)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3364",
      "to_node": "node_3365",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3365",
      "to_node": "node_3366",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3367",
      "to_node": "node_3368",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.299)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3368",
      "to_node": "node_3369",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3369",
      "to_node": "node_3370",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.661)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3370",
      "to_node": "node_3371",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3372",
      "to_node": "node_3373",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3373",
      "to_node": "node_3374",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.238)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3374",
      "to_node": "node_3375",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.548)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3375",
      "to_node": "node_3376",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.524)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3376",
      "to_node": "node_3377",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3377",
      "to_node": "node_3378",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3379",
      "to_node": "node_3380",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.623)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3380",
      "to_node": "node_3381",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.664)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3381",
      "to_node": "node_3382",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.621)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3382",
      "to_node": "node_3383",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3384",
      "to_node": "node_3385",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.543)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3385",
      "to_node": "node_3386",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006525)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3386",
      "to_node": "node_3387",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_3387",
      "to_node": "node_3388",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3389",
      "to_node": "node_3390",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.192)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3390",
      "to_node": "node_3391",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3391",
      "to_node": "node_3392",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3392",
      "to_node": "node_3393",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.277)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3393",
      "to_node": "node_3394",
      "edge_type": "modification",
      "reasoning": "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_3394",
      "to_node": "node_3395",
      "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_3395",
      "to_node": "node_3396",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3397",
      "to_node": "node_3398",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3398",
      "to_node": "node_3399",
      "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_3399",
      "to_node": "node_3400",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.376)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3400",
      "to_node": "node_3401",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3402",
      "to_node": "node_3403",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_3403",
      "to_node": "node_3404",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.248)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3404",
      "to_node": "node_3405",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3405",
      "to_node": "node_3406",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.610)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3406",
      "to_node": "node_3407",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3408",
      "to_node": "node_3409",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006311)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3409",
      "to_node": "node_3410",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.368)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3410",
      "to_node": "node_3411",
      "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_3411",
      "to_node": "node_3412",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004162)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3412",
      "to_node": "node_3413",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.199)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3413",
      "to_node": "node_3414",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.387)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3414",
      "to_node": "node_3415",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.247)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3415",
      "to_node": "node_3416",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3417",
      "to_node": "node_3418",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004425)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3418",
      "to_node": "node_3419",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.272)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3419",
      "to_node": "node_3420",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3420",
      "to_node": "node_3421",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3421",
      "to_node": "node_3422",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3423",
      "to_node": "node_3424",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004716)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3424",
      "to_node": "node_3425",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_3425",
      "to_node": "node_3426",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.621)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3426",
      "to_node": "node_3427",
      "edge_type": "modification",
      "reasoning": "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_3427",
      "to_node": "node_3428",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3429",
      "to_node": "node_3430",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.464)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3430",
      "to_node": "node_3431",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3431",
      "to_node": "node_3432",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.562)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3432",
      "to_node": "node_3433",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3434",
      "to_node": "node_3435",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3435",
      "to_node": "node_3436",
      "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_3436",
      "to_node": "node_3437",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.379)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3437",
      "to_node": "node_3438",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    }
  ]
}